Items where Subject is "H  N > Numerical analysis"
Group by: Creators  Item Type Number of items at this level: 450. AAmaldi, Edoardo and Belotti, Pietro and Hauser, Raphael (2005) A Randomized Algorithm for the MaxFS Problem. Technical Report. Unspecified. (Submitted) Amaldi, Edoardo and Hauser, Raphael (2003) Boundedness Theorems for the Relaxation Method. Technical Report. Unspecified. (Submitted) Amsalu, Saba and Hauser, Raphael and Matzinger, Heinrich (2012) A Monte Carlo Approach to the Fluctuation Problem in Optimal Alignments of Random Strings. Technical Report. Unspecified. (Submitted) Argyriou, Andreas and Hauser, Raphael and Micchelli, Charles A. and Pontil, Massimiliano (2006) A DCprogramming algorithm for kernel selection. Technical Report. Unspecified. (Submitted) Aurentz, Jared L (2015) Fast algorithms for spectral differentiation matrices. Technical Report. Unspecified. (Submitted) Aurentz, Jared L and Trefethen, Lloyd N. (2015) Chopping a Chebyshev series. Technical Report. ACM, ACM Trans. Math. Softw.. (Submitted) Austin, Anthony P. and Kravanja, Peter and Trefethen, Lloyd N. (2013) Numerical algorithms based on analytic function values at roots of unity. Technical Report. SINUM. (Submitted)
Austin, Anthony P. and Trefethen, Lloyd N.
(2015)
Computing eigenvalues of real symmetric matrices
BBai, ZhongZhi and Duff, Iain S. and Wathen, A. J. (1999) A class of incomplete orthogonal factorization methods. I: methods and theories. Technical Report. B I T. (Submitted) Banjai, Lehel and Trefethen, Lloyd N. (2001) Numerical solution of the omitted area problem of univalent function theory. Technical Report. Unspecified. (Submitted) Banjai, Lehel and Trefethen, Lloyd N. (2002) A multipole method for SchwarzChristoffel mapping of polygons with thousands of sides. Technical Report. Unspecified. (Submitted) Barrett, John W. and Robson, Janice A. and Suli, Endre (2004) A posteriori error analysis of mixed finite element approximations to quasiNewtonian incompressible flows. Technical Report. Unspecified. (Submitted) Barrett, John W. and Schwab, Christoph and Suli, Endre (2004) Existence of Global Weak Solutions for Some Polymeric Flow Models. Technical Report. Unspecified. (Submitted) Barrett, John W. and Suli, Endre (2006) Existence of global weak solutions to kinetic models for dilute polymers. Technical Report. Unspecified. (Submitted) Barrett, John W. and Suli, Endre (2011) Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers. Technical Report. EDP Sciences, SMAI. (Submitted) Barrett, John W. and Suli, Endre (2007) Numerical approximation of corotational dumbbell models for dilute polymers. Technical Report. Unspecified. (Submitted) Battels, Zachary and Trefethen, Lloyd N. (2003) An extension of MATLAB to continuous functions and operators. Technical Report. Unspecified. (Submitted) Beattie, Christopher and Embree, Mark and Rossi, John (2001) Convergence of restarted Krylov subspaces to invariant subspaces. Technical Report. Unspecified. (Submitted)
Benner, Peter and Fassbender, Heike and Stoll, Martin
(2009)
A Hamiltonian KrylovSchurtype method based on the
Benner, Peter and Fassbender, Heike and Stoll, Martin (2009) A Hamiltonian KrylovSchurtype method based on the symplectic Lanczos process. Not specified . (Submitted) Benner, Peter and Fassbender, Heike and Stoll, Martin (2007) Solving largescale quadratic eigenvalue problems with Hamiltonian eigenstructure using a structurepreserving Krylov subspace method. Technical Report. Unspecified. (Submitted) Benzi, Michele and Wathen, A. J. (2006) Some Preconditioning Techniques for Saddle Point Problems. Technical Report. Unspecified. (Submitted) Bernardi, Christine and Suli, Endre (2004) Time and space adaptivity for the secondorder wave equation. Technical Report. Unspecified. (Submitted) Berrone, Stefano and Suli, Endre (2006) Twosided a posteriori error bounds for incompressible quasiNewtonian flows. Technical Report. Unspecified. (Submitted) Berrut, JeanPaul and Trefethen, Lloyd N. (2002) Barycentric Lagrange Interpolation. Technical Report. Unspecified. (Submitted) Betcke, Timo and Trefethen, Lloyd N. (2004) Computations of eigenvalue avoidance in planar domains. Technical Report. Unspecified. (Submitted) Betcke, Timo and Trefethen, Lloyd N. (2003) Reviving the Method of Particular Solutions. Technical Report. Unspecified. (Submitted) Biddle, Harry (2011) Nonlinear diffusion filtering on surfaces. Masters thesis, University of Oxford. Birkisson, Asgeir (2016) Automatic reformulation of ODEs to systems of first order equations. Technical Report. Unspecified. (Submitted) Birkisson, Asgeir and Driscoll, Tobin A. (2010) Automatic Frechet differentiation for the numerical solution of boundaryvalue problems. Technical Report. ACM. (Submitted) Birkisson, Asgeir and Driscoll, Tobin A. (2013) Automatic linearity detection. Technical Report. SICS. (Submitted) Blanchard, Jeffrey D. and Tanner, Jared (2013) Performance Comparisons of Greedy Algorithms in Compressed Sensing. Technical Report. Wiley. (Submitted)
Blanchard, Jeffrey D. and Tanner, Jared and Wei, Ke
(2014)
CGIHT: Conjugate Gradient Iterative Hard Thresholding
Blanchard, Jeffrey D. and Tanner, Jared and Wei, Ke
(2014)
Conjugate Gradient Iterative Hard Thresholding:
Boettcher, A. and Embree, Mark and Lindner, M. (2001) Spectral approximation of banded Laurent matrices with localized random perturbations. Technical Report. Unspecified. (Submitted) Boettcher, A. and Embree, Mark and Sokolov, V. I. (2000) Infinite Toeplitz and Laurent matrices with localized impurities. Technical Report. Unspecified. (Submitted) Boettcher, A. and Embree, Mark and Sokolov, V. I. (2001) On large Toeplitz band matrices with an uncertain block. Technical Report. Unspecified. (Submitted) Boettcher, A. and Embree, Mark and Sokolov, V. I. (2001) The Spectra of Large Toeplitz Band Matrices with a Randomly Perturbed Entry. Technical Report. Unspecified. (Submitted) Boettcher, A. and Embree, Mark and Trefethen, Lloyd N. (2000) Piecewise continuous Toeplitz matrices and operators: slow approach to infinity. Technical Report. Unspecified. (Submitted) Bornemann, Folkmar and Schmelzer, Thomas (2005) Taming a Hydra of Singularities. Technical Report. Unspecified. (Submitted) Bosch, Jessica and Kay, David and Stoll, Martin and Wathen, A. J. (2013) Fast Solvers for CahnHilliard Inpainting. Technical Report. SIAM. (Submitted) Breward, C. J. W. (1999) The mathematics of foam. PhD thesis, University of Oxford. Brezzi, Franco and Cockburn, Bernardo and Marini, Donatella and Suli, Endre (2004) Stabilization Mechanisms in Discontinuous Galerkin Finite Element Methods. Technical Report. Unspecified. (Submitted) Brezzi, Franco and Houston, P. and Marini, Donatella and Suli, Endre (1999) Modeling Subgrid Viscosity for AdvectionDiffusion Problems. Technical Report. Unspecified. (Submitted) Brezzi, Franco and Hughes, T. J. R. and Suli, Endre (2001) Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem. Technical Report. Unspecified. (Submitted) Brezzi, Franco and Marini, Donatella and Suli, Endre (2004) Discontinuous Galerkin methods for firstorder hyperbolic problems. Technical Report. Unspecified. (Submitted) Brezzi, Franco and Marini, Donatella and Suli, Endre (1998) Residualfree bubbles for advectiondiffusion problems: the general error analysis. Technical Report. Unspecified. (Submitted) Buffa, Annalisa and Ortner, Christoph (2007) Variational Convergence of IPDGFEM. Technical Report. Unspecified. (Submitted) Burgess, D. A. and Crumpton, P. I. and Giles, M. B. (1995) A parallel framework for unstructured grid solvers. Technical Report. Unspecified. (Submitted) Burke, James and Greenbaum, Anne (2004) Some Equivalent Characterizations of the Polynomial Numerical Hull of Degree . Technical Report. Unspecified. (Submitted) Burrage, K. and Hale, Nicholas and Kay, David (2011) An efficient implementation of an implicit FEM scheme for fractionalinspace reactiondiffusion equations. Technical Report. SIAM. (Submitted) CCalderbank, Robert and Thompson, Andrew and Xie, Yao (2015) On Block Coherence of Frames. Technical Report. Unspecified. (Submitted) Campobasso, M. S. and Giles, M. B. (2000) Flutter and Forced Response of Mistuned Turbomachinery. Technical Report. Unspecified. (Submitted) Cangiani, Andrea and Suli, Endre (2004) Aposteriori error estimators and RFB. Technical Report. Unspecified. (Submitted) Cangiani, Andrea and Suli, Endre (2003) Enhanced RFB method. Technical Report. Unspecified. (Submitted) Cano, B. and Stuart, A. M. and Suli, Endre and Warren, J. O. (1998) Stiff oscillatory systems, delta jumps and white noise. Technical Report. Unspecified. (Submitted) Carter, R. and Giles, M. B. (2005) Sharp error estimates for discretisations of the 1D convection/diffusion equation with Dirac initial data. Technical Report. Unspecified. (Submitted) Cartis, C and Gould, N. I. M. and Toint, Ph. L. (2014) Worstcase evaluation complexity of regularization methods for smooth unconstrained optimization using Hölder continuous gradients. Technical Report. Not Specified. (Submitted) Cartis, Coralia (2015) Improved worstcase evaluation complexity for potentially rankdeficient nonlinear leastEuclidiannorm problems using higherorder regularized models. Technical Report. Not specified. (Submitted) Cartis, Coralia (2005) On the Convergence of a PrimalDual Second0rder Corrector Interior Point Algorithm for Linear Programming. Technical Report. Unspecified. (Submitted) Cartis, Coralia (2004) Some Disadvantages of a MehrotraType PrimalDual Corrector Interior Point Algorithm for Linear Programming. Technical Report. Unspecified. (Submitted) Cartis, Coralia (2005) Some New Results Concerning the PrimalDual PathFollowing Interior Point Algorithm for Linear Programming. Technical Report. Unspecified. (Submitted) Cartis, Coralia and Gould, Nicholas I. M. (2007) Finding a point in the relative interior of a polyhedron. Technical Report. Unspecified. (Submitted) Cartis, Coralia and Gould, Nicholas I. M. and Toint, Philippe L. (2007) Adaptive cubic overestimation methods for unconstrained optimization. Technical Report. Unspecified. (Submitted)
Cartis, Coralia and Gould, Nicholas I. M. and Toint, Philippe L.
(2015)
Evaluation complexity bounds
Cartis, Coralia and Gould, Nicholas I. M. and Toint, Philippe L. (2008) Trustregion and other regularisations of linear leastsquares problems. Technical Report. Unspecified. (Submitted) Cartis, Coralia and Hauser, Raphael (2007) A new perspective on the complexity of interior point methods for linear programming. Technical Report. Unspecified. (Submitted) Cartis, Coralia and Scheinberg, Katya (2015) Global convergence rate analysis of unconstrained optimization methods based on probabilistic models. Technical Report. Unspecified. (Submitted) Cartis, Coralia and Thompson, Andrew (2015) Quantitative recovery conditions for treebased compressed sensing. Technical Report. Unspecified. (Submitted) Cartis, Coralia and Thompson, Andrew (2013) A new and improved quantitative recovery analysis for iterative hard thresholding algorithms in compressed sensing. Technical Report. Unspecified. (Submitted)
Cartis, Coralia and Yan, Yiming
(2014)
Activeset prediction for interior point methods
ChandlerWilde, S. N. and Hewett, D. P. (2014) Wavenumberexplicit continuity and coercivity estimates in acoustic scattering by planar screens. Technical Report. Not specified. (Submitted)
ChandlerWilde, S. N. and Hewett, D. P. and Moiola, A
(2014)
Interpolation of Hilbert and Sobolev Spaces:
ChandlerWilde, S. N. and Hewett, David Peter (2013) Acoustic scattering by fractal screens: mathematical formulations and wavenumberexplicit continuity and coercivity estimates. Technical Report. to be decided. (Unpublished) Chapman, S. J. and Hewett, D. P. and Trefethen, L. N. (2015) Mathematics of the Faraday Cage. Technical Report. Unspecified. (Submitted) Cheung, Dennis and Cucker, Felipe and Hauser, Raphael (2003) On tail decay and moment estimates of a condition number for random linear conic systems. Technical Report. Unspecified. (Submitted) Clarke, Sam (2007) Robust staff level optimisation in call centres. Masters thesis, University of Oxford. Cockburn, Bernardo and Luskin, Mitchell and Shu, ChiWang and Suli, Endre (2001) Enhanced accuracy by postprocessing for finite element methods for hyperbolic equations. Technical Report. Mathematics of Computation. (Submitted) Congreve, Scott and Houston, Paul and Suli, Endre and Wihler, Thomas P. (2011) Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems II: Strongly monotone quasiNewtonian flows. Technical Report. IMA Journal of Numerical Analysis. (Submitted) Cooke, W. (2000) Mathematics of crimping. PhD thesis, University of Oxford. Crumpton, P. I. (1995) An efficient cell vertex method for unstructured tetrahedral grids. Technical Report. Proceedings of the 1995 ICFD conference at Oxford. (Submitted) Crumpton, P. I. and Giles, M. B. (1995) Aircraft computations using multigrid and an unstructured parallel library. Technical Report. Unspecified. (Submitted) Crumpton, P. I. and Giles, M. B. (1995) Implicit time accurate solutions on unstructured dynamic grids. Technical Report. Unspecified. (Submitted) DDarmofal, David L. and Moinier, Pierre and Giles, M. B. (2000) Eigenmode Analysis of Boundary Conditions for the OneDimensional Preconditioned Euler Equations. Technical Report. Unspecified. (Submitted) Dawei, Cai (2012) An Optimal Liquidation Algorithm Based on Monte Carlo Method. Masters thesis, University of Oxford. Diening, Lars and Kreuzer, Christian and Schwarzacher, Sebastian (2012) Convex hull property and maximum principles for finite element minimizers of general convex functionals. Technical Report. Numerische Mathematik. (Submitted) Diening, Lars and Kreuzer, Christian and Suli, Endre (2012) Finite element approximation of steady flows of incompressible fluids with implicit powerlawlike rheology. Technical Report. SINUM. (Submitted) Dollar, H. Sue (2005) Extending Constraint Preconditioners for Saddle Point Problems. Technical Report. Unspecified. (Submitted) Dollar, H. Sue and Gould, Nicholas I. M. and Robinson, Daniel P. (2009) On solving trustregion and other regularised subproblems in optimization. Technical Report. Mathematical Programming (Springer). (Submitted) Dollar, H. Sue and Gould, Nicholas I. M. and Schilders, W. H. A. and Wathen, A. J. (2005) On iterative methods and implicitfactorization preconditioners for regularized saddlepoint systems. Technical Report. Unspecified. (Submitted) Dollar, H. Sue and Gould, Nicholas I. M. and Schilders, W. H. A. and Wathen, A. J. (2005) Using constraint preconditioners with regularized saddlepoint problems. Technical Report. Unspecified. (Submitted) Dollar, H. Sue and Gould, Nicholas I. M. and Stoll, Martin and Wathen, A. J. (2008) A BramblePasciaklike method with applications in optimization. Technical Report. Unspecified. (Submitted) Dollar, H. Sue and Gould, Nicholas I. M. and Wathen, A. J. (2004) On implicitfactorization constraint preconditioners. Technical Report. Unspecified. (Submitted) Dollar, H. Sue and Wathen, A. J. (2004) Incomplete factorization constraint preconditioners for saddlepoint matrices. Technical Report. Unspecified. (Submitted) Donnelly, J. D. P. (1993) Some exact solutions in moving finite elements. Technical Report. Unspecified. (Submitted) Donnelly, J. D. P. (2000) An abstract formulation of the concept of entropy. Technical Report. Unspecified. (Submitted) Donnelly, J. D. P. (1990) An exact solution for moving finite elements applied to the viscous Burgers' equation. Technical Report. Unspecified. (Submitted) Drexler, Michael and Sobey, Ian and Bracher, C. (1996) Fractal Characteristics of Newton's Method on Polynomials. Technical Report. Unspecified. (Submitted) Drexler, Michael and Sobey, Ian and Bracher, C. (1995) On the fractal characteristics of a stabilised Newton method. Technical Report. Unspecified. (Submitted) Driscoll, Tobin A. and Bornemann, Folkmar and Trefethen, Lloyd N. (2008) The chebop system for automatic solution of differential equations. Technical Report. Unspecified. (Submitted) Durringer, Clement and Hauser, Raphael and Matzinger, Heinrich (2006) Approximation to the mean curve in the LCS problem. Technical Report. Unspecified. (Submitted) EEisentraeger, Almut and Sobey, Ian and Czosnyka, Marek (2011) Parameter estimations for cerebrospinal fluid infusion test. Technical Report. Unspecified. (Submitted) Elman, Howard C. and Silvester, David and Wathen, A. J. (1996) Iterative Methods for Problems in Computational Fluid Dynamics. Technical Report. Unspecified. (Submitted) Embree, Mark (1999) How descriptive are GMRES convergence bounds? Technical Report. Unspecified. (Submitted) Embree, Mark (2001) The Tortoise and the Hare restart GMRES. Technical Report. Unspecified. (Submitted) Embree, Mark and Trefethen, Lloyd N. (2000) Generalizing Eigenvalue Theorems to Pseudospectra Theorems. Technical Report. Unspecified. (Submitted) Embree, Mark and Trefethen, Lloyd N. (1998) Green's functions for multiply connected domains via conformal mapping. Technical Report. SIAM. (Submitted) Epstein, D. (1999) Uncertain interest rate modelling. PhD thesis, University of Oxford. Euget, Thomas (2012) Computing Greeks with Multilevel Monte Carlo Methods using Importance Sampling. Masters thesis, University of Oxford. FFarmer, Chris L. and Fowkes, Jaroslav and Gould, Nicholas I. M. (2010) Optimal Multilateral Well Placement. Technical Report. EAGE, proceedings of the 12th European Conference on the Mathematics of Oil Recovery, Oxford. Farrell, P. E. (2015) Multiple local minima of PDEconstrained optimisation problems via deflation. Technical Report. Unspecified. (Submitted) Farrell, P. E. and Birkisson, A. and Funke, S. W. (2014) Deflation techniques for finding distinct solutions of nonlinear partial differential equations. Technical Report. Not specified. (Submitted) Ferris, Michael C. and Dirkse, Steven P. and Meeraus, Alexander (2002) Mathematical programs with equilibrium constraints: automatic reformulation and solution via constrained optimization. Technical Report. Unspecified. (Submitted) Ferris, Michael C. and Voelker, Meta M. (2002) NeuroDynamic Programming for Radiation Treatment Planning. Technical Report. Unspecified. (Submitted) Ferris, Michael C. and Wathen, A. J. (2002) Limited memory solution of complementarity problems arising in video games. Technical Report. Unspecified. (Submitted) Figueroa, Leonardo and Suli, Endre (2011) Greedy approximation of highdimensional OrnsteinUhlenbeck operators with unbounded drift. Technical Report. Foundations of Computational Mathematics. (Submitted) Fornberg, B. (2009) A finite difference method for free boundary problems. Not specified . (Submitted) GGeorgoulis, Emmanuil H. and Lasis, Andris (2005) A note on the design of hpversion interior penalty discontinuous Galerkin finite element methods for degenerate problems. Technical Report. Unspecified. (Submitted) Georgoulis, Emmanuil H. and Suli, Endre (2003) Optimal Error Estimates for the hp–Version Interior Penalty Discontinuous Galerkin Finite Element Method. Technical Report. Unspecified. (Submitted) Georgoulis, Emmanuil H. and Suli, Endre (2001) hpDGFEM on ShapeIrregular Meshes: ReactionDiffusion Problems. Technical Report. Unspecified. (Submitted) Giesl, Peter and Wendland, Holger (2010) Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems. Technical Report. UNSPECIFIED. (Unpublished) Giles, M. B. (1997) Aerodynamic design optimisation for complex geometries using unstructured grids. Technical Report. Unspecified. (Submitted) Giles, M. B. (1997) Aerospace design: a complex task. Technical Report. Unspecified. (Submitted) Giles, M. B. (1995) Analysis of the accuracy of shockcapturing in the steady quasi1D Euler equations. Technical Report. Unspecified. (Submitted) Giles, M. B. (2002) Discrete adjoint approximations with shocks. Technical Report. Unspecified. (Submitted) Giles, M. B. (2006) Improved multilevel Monte Carlo convergence using the Milstein scheme. Technical Report. Unspecified. (Submitted) Giles, M. B. (2007) Monte Carlo evaluation of sensitivities in computational finance. Technical Report. Unspecified. (Submitted) Giles, M. B. (1997) On adjoint equations for error analysis and optimal grid adaptation in CFD. Technical Report. Unspecified. (Submitted) Giles, M. B. (2000) On the use of RungeKutta timemarching and multigrid for the solution of steady adjoint equations. Technical Report. Unspecified. (Submitted) Giles, M. B. (2004) Sharp error estimates for a discretisation of the 1D convection/diffusion equation with Dirac initial data. Technical Report. Unspecified. (Submitted) Giles, M. B. (1995) Stability Analysis of Galerkin/RungeKutta NavierStokes Discretisations on Unstructured Grids. Technical Report. Unspecified. (Submitted) Giles, M. B. (1995) Stability analysis of numerical interface boundary conditions for parabolic equations. Technical Report. Unspecified. (Submitted) Giles, M. B. (1995) Stability and accuracy of numerical boundary conditions in aeroelastic analysis. Technical Report. Unspecified. (Submitted) Giles, M. B. (1996) Stability and convergence of discretisations of initial value p.d.e.'s. Technical Report. Unspecified. (Submitted) Giles, M. B. (2008) An extended collection of matrix derivative results for forward and reverse mode automatic differentiation. Technical Report. Unspecified. (Submitted) Giles, M. B. and Carter, R. (2005) Convergence analysis of CrankNicolson and Rannacher timemarching. Technical Report. Unspecified. (Submitted) Giles, M. B. and Duta, Mihai C. and Mueller, JensDominik and Pierce, Niles A. (2001) Algorithm Developments for Discrete Adjoint Methods. Technical Report. Unspecified. (Submitted) Giles, M. B. and Ghate, D. and Duta, M. C. (2005) Using Automatic Differentiation for Adjoint CFD Code Development. Technical Report. Unspecified. (Submitted) Giles, M. B. and Glasserman, P. (2005) Smoking Adjoints: fast evaluation of Greeks in Monte Carlo calculations. Technical Report. Unspecified. (Submitted) Giles, M. B. and Larson, M. and Levenstam, M. and Suli, Endre (1997) Adaptive error control for finite element approximations of the lift and drag coefficients in viscous flow. Technical Report. SIAM. (Submitted) Giles, M. B. and Pierce, Niles A. (2001) Adjoint Error Correction for Integral Outputs. Technical Report. Unspecified. (Submitted) Giles, M. B. and Pierce, Niles A. (1998) Adjoint recovery of superconvergent functionals from approximate solutions of partial differential equations. Technical Report. Unspecified. (Submitted) Giles, M. B. and Pierce, Niles A. (2001) Analysis of Adjoint Error Correction for Superconvergent Functional Estimates. Technical Report. Unspecified. (Submitted) Giles, M. B. and Pierce, Niles A. (2000) Analytic Adjoint Solutions for the Quasi1D Euler Equations. Technical Report. Unspecified. (Submitted) Giles, M. B. and Pierce, Niles A. (2000) Improved lift and drag estimates using adjoint Euler equations. Technical Report. Unspecified. (Submitted) Giles, M. B. and Pierce, Niles A. (2000) An introduction to the adjoint approach to design. Technical Report. Unspecified. (Submitted) Giles, M.B. and Reisinger, Christoph (2012) Stochastic finite differences and multilevel Monte Carlo for a class of SPDEs in finance. SIAM Journal on Financial Mathematics, 3 (1). pp. 572592. Giles, M.B. and Ulbrich, S. (2010) Convergence of linearized and adjoint approximations for discontinuous solutions of conservation laws. Part 1: linearized approximations and linearized output functionals. SIAM Journal of Numerical Analysis, 48 (3). pp. 882904. Giles, M.B. and Ulbrich, S. (2010) Convergence of linearized and adjoint approximations for discontinuous solutions of conservation laws. Part 2: adjoint approximations and extensions. SIAM Journal of Numerical Analysis, 48 (3). pp. 905921. Gill, Philip E. and Robinson, Daniel P. (2008) A PrimalDual Augmented Lagrangian. Technical Report. Unspecified. (Submitted) Gillow, K. A. (1998) Codimensiontwo free boundary problems. PhD thesis, University of Oxford. Gillow, K. A. (1995) Modelling an experiment to study surface dilation effects. Masters thesis, University of Oxford. Glasgow, C. and Parrott, A. K. (1996) Mixing Calculations in a Rotating Partitioned Pipe. Technical Report. Unspecified. (Submitted) Glasgow, C. and Parrott, A. K. and Handscomb, D. C. (1996) Multiple knot Bspline representation of incompressible flow. Technical Report. Unspecified. (Submitted) Glasgow, C. and Parrott, A. K. and Handscomb, D. C. (1996) Particle tracking methods for residence time calculations in incompressible flow. Technical Report. Unspecified. (Submitted) Golub, Gene H. and Silvester, David and Wathen, A. J. (1996) Diagonal Dominance and Positive Definiteness of Upwind Approximations for Advection Diffusion Problems. Technical Report. Unspecified. (Submitted) Golub, Gene H. and Stoll, Martin and Wathen, A. J. (2007) Approximation of the scattering amplitude. Technical Report. Unspecified. (Submitted)
Gonnet, Pedro
(2011)
A Short Note on the Fast Evaluation of Dihedral Angle
Gonnet, Pedro and Guettel, Stefan and Trefethen, Lloyd N. (2011) Robust Padé approximation via SVD. Technical Report. SIAM review. (Submitted) Gonnet, Pedro and Pachon, Ricardo and Trefethen, Lloyd N. (2011) Robust rational interpolation and leastsquares. Technical Report. ETNA. (Submitted) Gould, Nicholas I. M. (2007) How good are projection methods for convex feasibility problems? Technical Report. Unspecified. (Submitted) Gould, Nicholas I. M. and Robinson, Daniel P. (2008) A second derivative SQP method with imposed descent. Technical Report. Unspecified. (Submitted) Gould, Nicholas I. M. and Robinson, Daniel P. (2008) A second derivative SQP method: local convergence. Technical Report. SIAM Journal on Optimization. (Submitted) Gould, Nicholas I. M. and Robinson, Daniel P. (2008) A second derivative SQP method: theoretical issues. Technical Report. SIAM Journal on Optimization. (Submitted) Gould, Nicholas I. M. and Robinson, Daniel P. (2009) A secondderivative trustregion SQP method with a "trustregionfree" predictor step. Technical Report. IMA Journal of Numerical Analysis. (Submitted) Gould, Nicholas I. M. and Toint, Philippe L. (2007) Nonlinear programming without a penalty function or a filter. Technical Report. Unspecified. (Submitted) Guettel, Stefan (2012) Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection. Technical Report. Wiley. (Submitted) Guettel, Stefan and Klein, Georges (2012) Convergence of linear barycentric rational interpolation for analytic functions. Technical Report. Unspecified. (Submitted) Guettel, Stefan and Klein, Georges (2013) Efficient highorder rational integration and deferred correction with equispaced data. Technical Report. Unspecified. (Submitted) Guettel, Stefan and Knizhnerman, Leonid (2012) A blackbox rational Arnoldi variant for CauchyStieltjes matrix functions. Technical Report. SIAM. (Submitted) Guettel, Stefan and Pestana, Jennifer (2012) Some observations on weighted GMRES. Technical Report. Unspecified. (Submitted) Gupta, Nachi (2007) Kalman filtering in the presence of State Space Equality Constraints. Technical Report. Unspecified. (Submitted) Gupta, Nachi and Agogino, Adrian and Turner, Kagan (2005) Efficient AgentBased Models for NonGenomic Evolution. Technical Report. Unspecified. (Submitted) Gupta, Nachi and Hauser, Raphael (2007) Kalman Filtering with Equality and Inequality State Constraints. Technical Report. Unspecified. (Submitted) Gupta, Nachi and Hauser, Raphael and Johnson, Neil F. (2006) Deducing the MultiTrader Population Driving a Financial Market. Technical Report. Unspecified. (Submitted) Gupta, Nachi and Hauser, Raphael and Johnson, Neil F. (2005) Forecasting Financial Time Series using Artificial Market Models. Technical Report. Unspecified. (Submitted) Gutknecht, Martin and Schmelzer, Thomas (2005) Updating the QR decomposition of block tridiagonal and block Hessenberg matrices generated by block Krylov space methods. Technical Report. Unspecified. (Submitted) HHale, N. and Tee, T. W. (2008) Conformal Maps to MultiplySlit Domains and Applications. Technical Report. Unspecified. (Submitted) Hale, Nicholas and Higham, Nicholas J. and Trefethen, Lloyd N. (2007) Computing Aα, log(A) and related matrix functions by contour integrals. Technical Report. Unspecified. (Submitted) Hale, Nicholas and Moore, Daniel R. (2008) A SixthOrder Extension to the MATLAB Package bvp4c of J. Kierzenka and L. Shampine. Technical Report. Unspecified. (Submitted) Hale, Nicholas and Townsend, Alex (2014) An Algorithm for the Convolution of Legendre Series. Technical Report. SISC. (Submitted) Hale, Nicholas and Townsend, Alex (2012) Fast and accurate computation of GaussLegendre and GaussJacobi quadrature nodes and weights. Technical Report. Unspecified. (Submitted) Hale, Nicholas and Townsend, Alex (2013) A fast, simple, and stable ChebyshevLegendre transform using an asymptotic formula. Technical Report. Unspecified. (Submitted) Hale, Nicholas and Trefethen, Lloyd N. (2012) Chebfun and numerical quadrature. Technical Report. Science in China A. (Submitted) Hale, Nicholas and Trefethen, Lloyd N. (2007) New quadrature formulas from conformal maps. Technical Report. Unspecified. (Submitted) Handscomb, David (1995) Multiresolution and wavelets. Technical Report. Unspecified. (Submitted) Harriman, K. (1997) Sonar acoustics. Masters thesis, University of Oxford. Harriman, Kathryn and Gavaghan, D. J. and Houston, P. and Kay, David and Suli, Endre (2000) Adaptive Finite Element Simulation of Currents at Microelectrodes to a Guaranteed Accuracy. Application to Channel Microband Electrodes. Technical Report. Unspecified. (Submitted) Harriman, Kathryn and Gavaghan, D. J. and Houston, P. and Suli, Endre (1999) Adaptive Finite Element Simulation of Steady State Currents at Microdisc Electrodes to a Guaranteed Accuracy. Technical Report. Unspecified. (Submitted) Harriman, Kathryn and Gavaghan, D. J. and Suli, Endre (2004) Application of hpDGFEM to mechanisms at channel microband electrodes. Technical Report. Unspecified. (Submitted) Harriman, Kathryn and Gavaghan, D. J. and Suli, Endre (2004) Approximation of linear functionals using an hpadaptive discontinuous Galerkin finite element method. Technical Report. Unspecified. (Submitted) Harriman, Kathryn and Gavaghan, D. J. and Suli, Endre (2004) Finite element solution of a membrane covered electrode problem. Technical Report. Unspecified. (Submitted) Harriman, Kathryn and Gavaghan, D. J. and Suli, Endre (2004) The importance of adjoint consistency in the approximation of linear functionals using the discontinuous Galerkin finite element method. Technical Report. Unspecified. (Submitted) Harriman, Kathryn and Houston, P. and Senior, Bill and Suli, Endre (2002) hpVersion discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form. Technical Report. Unspecified. (Submitted) Harrison, R. (2001) A numerical study of the SchrödingerNewton equations. PhD thesis, University of Oxford. Hauser, Raphael (2003) The NesterovTodd Direction and its Relation to Weighted Analytic Centers. Technical Report. Unspecified. (Submitted) Hauser, Raphael and Martinez, Servet and Matzinger, Heinrich (2003) Large deviation based upper bounds for the LCSproblem. Technical Report. Unspecified. (Submitted) Hauser, Raphael and Matzinger, Heinrich (2012) Distribution of Aligned Letter Pairs in Optimal Alignments of Random Sequences. Technical Report. Annals of Probability. (Submitted) Hauser, Raphael and Matzinger, Heinrich and Popescu, Ionel (2014) An upper bound on the convergence rate of a second functional in optimal sequence alignment. Technical Report. Not specified. (Submitted) Hauser, Raphael and Müller, Tobias (2006) Algebraic Tail Decay of Condition Numbers for Random Conic Systems under a General Family of Input Distributions. Technical Report. Unspecified. (Submitted) Hauser, Raphael and Nedic, Jelena (2004) On the relationship between convergence rates of discrete and continuous dynamical systems. Technical Report. Unspecified. (Submitted) Hauser, Raphael and Nedic, Jelena (2003) The continuous NewtonRaphson method can look ahead. Technical Report. Unspecified. (Submitted) Hauser, Raphael and Shahverdyan, Sergey and Embrechts, Paul A general duality relation with applications in quantitative risk management. Technical Report. Not specified. (Submitted) Haworth, Helen and Reisinger, Christoph (2006) Modeling basket credit default swaps with default contagion. Journal of Credit Risk . (Submitted) HemmingssonFraenden, Lina and Wathen, A. J. (1999) A nearly optimal preconditioner for the NavierStokes equations. Technical Report. Unspecified. (Submitted)
Hewett, D. P.
(2014)
Shadow boundary effects in hybrid numericalasymptotic
Hewett, D. P. and Hewitt, I. J.
(2016)
Homogenized boundary conditions and resonance effects
Hewett, D. P. and Moiola, A
(2015)
On the maximal Sobolev regularity
Hewett, David Peter and Langdon, S. and ChandlerWilde, S. N. (2013) A frequencyindependent boundary element method for scattering by twodimensional screens and apertures. Technical Report. IMAJNA. (Submitted) Hill, Jonathan M. D. and Crumpton, Paul I. and Burgess, David A. (1996) The theory, practice, and a tool for BSP performance prediction applied to a CFD application. Technical Report. EuroPar'96. (Submitted) Hoffman, Johan and Johnson, Claes (1999) On dynamic computational subgrid modeling. Technical Report. Unspecified. (Submitted) Holland, Ruth M. and Wathen, A. J. and Shaw, Gareth (2003) Sparse approximate inverses and target matrices. Technical Report. Unspecified. (Submitted) Hollingsworth, T. D. (1999) Modelling rhizomania in sugar beet. Masters thesis, University of Oxford. Houston, P. and Hartmann, Ralf and Suli, Endre (2001) Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows. Technical Report. Unspecified. (Submitted) Houston, P. and Rannacher, Rolf and Suli, Endre (1999) A posteriori error analysis for stabilised finite element approximations of transport problems. Technical Report. Unspecified. (Submitted) Houston, P. and Robson, Janice A. and Suli, Endre (2004) Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. Technical Report. Unspecified. (Submitted) Houston, P. and Schwab, Christoph and Suli, Endre (2000) Discontinuous hpFinite Element Methods for AdvectionDiffusion Problems. Technical Report. Unspecified. (Submitted) Houston, P. and Schwab, Christoph and Suli, Endre (1998) Stabilized hpFinite Element Methods for FirstOrder Hyperbolic Problems. Technical Report. Unspecified. (Submitted) Houston, P. and Senior, Bill and Suli, Endre (2002) Sobolev Regularity Estimation for hpAdaptive Finite Element Methods. Technical Report. Unspecified. (Submitted) Houston, P. and Suli, Endre (1995) Adaptive LagrangeGalerkin methods for unsteady convectiondominated diffusion problems. Technical Report. Unspecified. (Submitted) Houston, P. and Suli, Endre (1996) On the design of an artificial diffusion model for the LagrangeGalerkin method on unstructured triangular grids. Technical Report. Unspecified. (Submitted) Houston, P. and Suli, Endre (1997) A Posteriori Error Analysis for Linear ConvectionDiffusion Problems Under Weak Mesh Regularity Assumptions. Technical Report. Unspecified. (Submitted) Houston, P. and Suli, Endre (1997) A Posteriori Error Analysis for Systems of Nonlinear ConvectionDiffusion Equations. Technical Report. Unspecified. (Submitted) Houston, P. and Suli, Endre (1999) Stabilized hpFinite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form. Technical Report. Unspecified. (Submitted) Houston, P. and Suli, Endre (2001) hpAdaptive discontinuous Galerkin finite element methods for firstorder hyperbolic problems. Technical Report. Unspecified. (Submitted) Houston, P. and Suli, Endre and Wihler, Thomas P. (2006) Aposteriori error analysis of hpversion discontinuous Galerkin finite element methods for secondorder quasilinear elliptic problems. Technical Report. Unspecified. (Submitted) Howle, V. E. and Trefethen, Lloyd N. (1997) Eigenvalues and Musical Instruments. Technical Report. Unspecified. (Submitted) Huang, Di (2012) On Root's Barriers and Their Applications in Robust Pricing and Hedging of Variance Options. Masters thesis, University of Oxford. IIber, D. (2001) Modelling affinity maturation in the immune system. Masters thesis, University of Oxford. JJack, R. O. (1987) Convergence properties of the LagrangeGalerkin method with and without exact integration. Technical Report. Unspecified. (Submitted) Jack, R. O. (1988) Stability of the LagrangeGalerkin method: the performance of quadrature in theory and practice. Technical Report. Unspecified. (Submitted) Jackson, Nicholas and Suli, Endre (1997) Adaptive Finite Element Solution of 1D European Option Pricing Problems. Technical Report. Unspecified. (Submitted) Jackson, Nicholas and Suli, Endre and Howison, Sam (1998) Computation of Deterministic Volatility Surfaces. Technical Report. Unspecified. (Submitted) James, T. (2002) Numerical solution of advectiondiffusion equations for radial flow. Masters thesis, University of Oxford. Javed, Mohsin and Trefethen, Lloyd N. (2015) The Remez algorithm for trigonometric approximation of periodic functions. Technical Report. Unspecified. (Submitted) Javed, Mohsin and Trefethen, Lloyd N. (2013) A trapezoidal rule error bound unifying the Euler–Maclaurin formula and geometric convergence for periodic functions. Technical Report. Proceedings of the Royal Society A. (Submitted) Jensen, Max (2002) Density and trace for graph spaces of firstorder linear operators. Technical Report. Unspecified. (Submitted) Jensen, Max (2005) On the Discontinuous Galerkin method for Friedrichs Systems in Graph Spaces. Technical Report. Unspecified. (Submitted) Jonsson, Gudbjorn F. and Trefethen, Lloyd N. (1997) A Numerical Analyst Looks at the "Cutoff Phenomenon" in Card Shuffling and Other Markov Chains. Technical Report. Unspecified. (Submitted) KKachuma, Dick and Sobey, Ian (2007) Linear instability of asymmetric Poiseuille flows. Technical Report. Unspecified. (Submitted) Kalamangalam, G. P. (1995) Nonlinear oscillations and chaos in chemical cardiorespiratory control. PhD thesis, University of Oxford. Kassam, AlyKhan (2003) Solving reactiondiffusion equations 10 times faster. Technical Report. Unspecified. (Submitted) Kassam, AlyKhan and Trefethen, Lloyd N. (2003) Fourthorder time stepping for stiff PDEs. Technical Report. Unspecified. (Submitted) Kay, David and Loghin, Daniel (1999) A Green's function preconditioner for the steadystate NavierStokes equations. Technical Report. Unspecified. (Submitted) Kay, David and Silvester, David (2000) The reliability of local error estimators for convectiondiffusion equations. Technical Report. Unspecified. (Submitted) Keller, C. (2000) Understanding MA27  A Numerical Example. Technical Report. Unspecified. (Submitted) Keller, C. and Gould, Nicholas I. M. and Wathen, A. J. (1999) Constraint preconditioning for indefinite linear systems. Technical Report. Unspecified. (Submitted) Knezevic, David (2006) Finite element methods for deterministic simulation of polymeric fluids. Technical Report. Unspecified. (Submitted) Knezevic, David and Suli, Endre (2007) Spectral Galerkin approximation of FokkerPlanck equations with unbounded drift. Technical Report. Unspecified. (Submitted) Kreuzer, Christian (2011) Reliable and efficient a posteriori error estimates for finite element approximations of the parabolic pLaplacian. Technical Report. Springer. (Submitted) LLaird, Alistair L. and Giles, M. B. (2002) Preconditioned iterative solution of the 2D Helmholtz equation. Technical Report. Unspecified. (Submitted) Laird, Alistair L. and Giles, M. B. (2005) Preconditioning harmonic unsteady potential flow calculations. Technical Report. Unspecified. (Submitted) Lasis, Andris and Suli, Endre (2004) Oneparameter discontinuous Galerkin finite element discretisation of quasilinear parabolic problems. Technical Report. Unspecified. (Submitted) Lasis, Andris and Suli, Endre (2003) Poincarétype inequalities for broken Sobolev spaces. Technical Report. Unspecified. (Submitted) Lasis, Andris and Suli, Endre (2003) hpVersion discontinuous Galerkin finite element methods for semilinear parabolic problems. Technical Report. Unspecified. (Submitted) Le Gia, Q. T. and Sloan, I. H. and Wendland, Holger (2010) Multiscale RBF collocation for solving PDEs on spheres. Technical Report. UNSPECIFIED. (Unpublished) Lee, M. E. M. (2001) Mathematical models of the carding process. PhD thesis, University of Oxford. Lee, M. E. M. (1997) Mechanisms of carding. Masters thesis, University of Oxford. Little, M. A. and Heesch, D. (2004) Chaotic rootfinding for a small class of polynomials. Journal of Difference Equations and Applications, 10 (11). pp. 949953. ISSN 10236198 Logg, Anders (1998) MultiAdaptive Error Control for ODEs. Technical Report. Unspecified. (Submitted) Loghin, D. and Wathen, A. J. (2002) Analysis of preconditioners for saddlepoint problems. Technical Report. Unspecified. (Submitted) Loghin, D. and Wathen, A. J. (2001) Schur complement preconditioning for elliptic systems of partial differential equations. Technical Report. Unspecified. (Submitted) Loghin, Daniel (2001) Analysis of preconditioned Picard iterations for the NavierStokes equations. Technical Report. Unspecified. (Submitted) Loghin, Daniel and Wathen, A. J. (1997) Preconditioning the AdvectionDiffusion Equation: the Green's Function Approach. Technical Report. Unspecified. (Submitted) MMack, Austin N. F. (2004) A Solenoidal Finite Element Approach for Prediction of Radar Cross Sections. Technical Report. Unspecified. (Submitted) Madzvamuse, A. and Maini, P. K. and Wathen, A. J. (2004) A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains. Technical Report. Unspecified. (Submitted) Madzvamuse, A. and Maini, P. K. and Wathen, A. J. and Sekimura, T. (2002) A Predictive Model for Color Pattern Formation in the Butterfly Wing of Papilio dardanus. Technical Report. Unspecified. (Submitted) Madzvamuse, A. and Thomas, R. D. K. and Maini, P. K. and Wathen, A. J. (2001) A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves. Technical Report. Unspecified. (Submitted) Madzvamuse, A. and Thomas, R. D. K. and Sekimura, T. and Wathen, A. J. and Maini, P. K. (2002) The moving grid finite element method applied to biological problems. Technical Report. Unspecified. (Submitted) Madzvamuse, A. and Wathen, A. J. and Maini, P. K. (2002) A moving grid finite element method applied to a model biological pattern generator. Technical Report. Journal of Computational Physics. (Submitted) Maini, P. K. and Crampin, E. J. and Madzvamuse, A. and Wathen, A. J. and Thomas, R. D. K. (2002) Implications of domain growth in morphogenesis. Technical Report. Unspecified. (Submitted) Makridakis, Charalambos and Suli, Endre (2011) Finite element analysis of CauchyBorn approximations to atomistic models. Technical Report. Unspecified. (Submitted) McDonald, E. G. and Wathen, A. J. (2014) A simple proposal for parallel computation over time of an evolutionary process with implicit time stepping. Technical Report. Not specified. (Submitted) Mekwi, W. R. (2001) Iterative methods for roots of polynomials. Masters thesis, University of Oxford. Mendoza Smith, Rodrigo and Tanner, Jared (2015) Expander Decoding. Technical Report. Unspecified. (Submitted) Meseguer, A. (2001) Nonnormal energy transient growth in the TaylorCouette problem. Technical Report. Unspecified. (Submitted) Meseguer, A. and Trefethen, Lloyd N. (2002) Linearized pipe flow to Reynolds number . Technical Report. Unspecified. (Submitted) Meseguer, A. and Trefethen, Lloyd N. (2000) A spectral PetrovGalerkin formulation for pipe flow I: Linear stability and transient growth. Technical Report. Unspecified. (Submitted) Meseguer, A. and Trefethen, Lloyd N. (2001) A spectral PetrovGalerkin formulation for pipe flow II: Nonlinear transitional stages. Technical Report. Unspecified. (Submitted) Miller, Keith (2004) Computed tomography from Xrays: old 2D results, new 3D problems. Technical Report. Unspecified. (Submitted) Moinier, P. and Giles, M. B. (2004) Eigenmode analysis for turbomachinery applications. Technical Report. Unspecified. (Submitted) Moinier, P. and Giles, M. B. (2001) Stability analysis of preconditioned approximations of the Euler equations on unstructuctured meshes. Technical Report. Unspecified. (Submitted) Monk, Peter and Suli, Endre (1992) A Convergence Analysis of Yee's Scheme on Nonuniform Grids. Technical Report. Unspecified. (Submitted) Monk, Peter and Suli, Endre (1998) The adaptive computation of farfield patterns by a posteriori error estimations of linear functionals. Technical Report. SIAM. (Submitted) Montanelli, Hadrien and Gushterov, Nikola (2015) Computing planar and spherical choreographies. Technical Report. Unspecified. (Submitted) Morton, K. W. (1996) Coercivity for Onedimensional Cell Vertex Approximations. Technical Report. Unspecified. (Submitted) Mozolevski, Igor and Suli, Endre (2004) hpversion interior penalty DGFEMs for the biharmonic equation. Technical Report. Unspecified. (Submitted) Murphy, Malcolm F. and Golub, Gene H. and Wathen, A. J. (1999) A note on preconditioning for indefinite linear systems. Technical Report. SIAM. (Submitted) NNafa, Kamel and Wathen, A. J. (2008) Local projection finite element stabilization for the generalized Stokes problem. Technical Report. Unspecified. (Submitted) Nakatsukasa, Yuji and Noferini, Vanni and Townsend, Alex (2013) Computing the common zeros of two bivariate functions via Bezout resultants. Technical Report. Unspecified. (Submitted) Nijhout, H. F. and Maini, P. K. and Madzvamuse, A. and Wathen, A. J. and Sekimura, T. (2003) Pigmentation pattern formation in butterflies  Experiments and Models . Technical Report. COMPTES RENDUS. (Submitted) Noon, C. (1996) Secondary frost heave in freezing soils. PhD thesis, University of Oxford. OOlver, Sheehan (2010) Computation of equilibrium measures. Technical Report. Unspecified. (Submitted) Olver, Sheehan (2009) Computing the Hilbert transform and its inverse. Technical Report. Unspecified. (Submitted) Olver, Sheehan (2009) Fast, numerically stable computation of oscillatory integrals with stationary points. Technical Report. Unspecified. (Submitted) Olver, Sheehan (2009) GMRES for oscillatory matrixvalued differential equations. Technical Report. Springer (ICOSAHOM conference proceeding). (Submitted) Olver, Sheehan (2008) GMRES for the differentiation operator. Technical Report. Unspecified. (Submitted) Olver, Sheehan (2009) Numerical solution of RiemannHilbert problems: Painleve II. Technical Report. Unspecified. (Submitted) Olver, Sheehan (2008) Preconditioned GMRES for oscillatory integrals. Technical Report. Numerische Mathematik (Springer). (Submitted)
Olver, Sheehan
(2010)
A general framework for solving RiemannHilbert problems
Olver, Sheehan and Townsend, Alex (2012) A fast and wellconditioned spectral method. Technical Report. SIAM Review. (Submitted) Ortner, Christoph (2006) Aposteriori existence in adaptive computations. Technical Report. Unspecified. (Submitted) Ortner, Christoph (2005) Continuum Limit of a OneDimensional Atomistic Energy Based on Local Minimization. Technical Report. Unspecified. (Submitted) Ortner, Christoph (2004) Limits of Galerkin Discretizations with Quadrature. Technical Report. Unspecified. (Submitted) Ortner, Christoph (2005) Two Variational Techniques for the Approximation of Curves of Maximal Slope. Technical Report. Unspecified. (Submitted) Ortner, Christoph and Suli, Endre (2006) Aposteriori analysis and adaptive algorithms for the quasicontinuum method in one dimension. Technical Report. Unspecified. (Submitted) Ortner, Christoph and Suli, Endre (2006) Apriori analysis of the quasicontinuum method in one dimension. Technical Report. Unspecified. (Submitted) Ortner, Christoph and Suli, Endre (2006) Discontinuous Galerkin Finite Element Approximation of Nonlinear SecondOrder Elliptic and Hyperbolic Systems. Technical Report. Unspecified. (Submitted) PPachon, Ricardo and Gonnet, Pedro and van Deun, Joris (2010) Fast and Stable Rational Interpolation in Roots of Unity and Chebyshev points. Technical Report. SIAM (SINUM). (Submitted) Pachon, Ricardo and Platte, Rodrigo B. and Trefethen, Lloyd N. (2008) Piecewise smooth chebfuns. Technical Report. Unspecified. (Submitted) Pachon, Ricardo and Trefethen, Lloyd N. (2008) BarycentricRemez algorithms for best polynomial approximation in the chebfun system. Technical Report. BIT Numerical Mathematics (Springer). (Submitted)
Pani, A. K. and Yadav, S
(2009)
An hpLocal Discontinuous Galerkin method for Parabolic
Papadopoulos, Andreas T. and Duff, Iain S. and Wathen, A. J. (2002) Incomplete Orthogonal Factorization Methods Using Givens Rotations II: Implementation and Results. Technical Report. Unspecified. (Submitted) Pardi, C. I. and Stevenson, P. D. and Xu, K (2014) Extension of continuum timedependent HartreeFock method to proton states. Technical Report. APS Physics, Phys. Rev. E. (Submitted) Parnell, W. (2000) Elastic wave scattering from a strained region. Masters thesis, University of Oxford.
Pathmanathan, P. and Whiteley, J. P. and Gavaghan, D. J.
(2009)
A Comparison of Numerical Methods used for
Pearson, John W. (2013) On the role of commutator arguments in the development of parameterrobust preconditioners for Stokes control problems. Technical Report. ETNA. (Submitted) Pearson, John W. (2013) Preconditioned iterative methods for NavierStokes control problems. Technical Report. SIAM. (Submitted) Pearson, John W. (2011) A Radial Basis Function Method for Solving PDE Constrained Optimization Problems. Technical Report. Springer. (Submitted) Pearson, John W. and Stoll, Martin (2012) Fast iterative solution of reactiondiffusion control problems arising from chemical processes. Technical Report. SIAM. (Submitted) Pearson, John W. and Stoll, Martin and Wathen, A. J. (2012) Preconditioners for state constrained optimal control problems with MoreauYosida penalty function. Technical Report. Wiley. (Submitted) Pearson, John W. and Stoll, Martin and Wathen, A. J. (2011) Regularizationrobust preconditioners for timedependent PDE constrained optimization problems. Technical Report. SIAM. (Submitted) Pearson, John W. and Stoll, Martin and Wathen, A. J. (2012) Robust Iterative Solution of a Class of TimeDependent Optimal Control Problems. Technical Report. Wiley. (Submitted) Pearson, John W. and Wathen, A. J. (2011) Fast iterative solvers for convectiondiffusion control problems. Technical Report. ETNA. (Submitted) Pearson, John W. and Wathen, A. J. (2010) A New Approximation of the Schur Complement in Preconditioners for PDE Constrained Optimization. Technical Report. Wiley. (Submitted) Pestana, J. and Wathen, A. J. (2014) A preconditioned MINRES method for nonsymmetric Toeplitz matrices. Technical Report. Unspecified. (Submitted) Pestana, Jennifer and Wathen, A. J. (2011) Combination preconditioning of saddle point systems for positive definiteness. Technical Report. Numer. Linear Algebra Appl.. (Submitted) Pestana, Jennifer and Wathen, A. J. (2013) Natural preconditioners for saddle point systems. Technical Report. Unspecified. (Submitted) Pestana, Jennifer and Wathen, A. J. (2011) On choice of preconditioner for minimum residual methods for nonsymmetric matrices. Technical Report. SIMAX. (Submitted) Pestana, Jennifer and Wathen, A. J. (2013) The antitriangular factorisation of saddle point matrices. Technical Report. Unspecified. (Submitted) Pierce, N.A. and Giles, M.B. (2000) Adjoint recovery of superconvergent functionals from PDE approximations. SIAM Review, 42 (2). pp. 247264. Pierce, Niles A. and Giles, M. B. (1995) Preconditioning on stretched meshes. Technical Report. Unspecified. (Submitted) Platte, Rodrigo B. (2009) How fast do radial basis function interpolants of analytic functions converge? Technical Report. IMA Journal of Numerical Analysis. (Submitted) Platte, Rodrigo B. and Rossi, Louis F. and Mitchell, Travis B. (2008) Using global interpolation to evaluate the BiotSavart integral for deformable elliptical Gaussian vortex elements. Technical Report. Unspecified. (Submitted) Platte, Rodrigo B. and Trefethen, Lloyd N. (2008) Chebfun: A New Kind of Numerical Computing. Technical Report. Unspecified. (Submitted) Platte, Rodrigo B. and Trefethen, Lloyd N. and Kuijlaars, Arno B. (2009) Impossibility of approximating analytic functions from equispaced samples. Technical Report. SIAM Review. (Submitted) QQiu, Qiang and Thompson, Andrew and Sapiro, Guillermo (2015) Representation using the Weyl transform. Technical Report. Unspecified. (Submitted) RRansford, Thomas (2006) On Pseudospectra and Power Growth. Technical Report. Unspecified. (Submitted) Raynaud, X. (2001) Shape optimisation of optical waveguides. Masters thesis, University of Oxford. Rees, Tyrone and Dollar, H. Sue and Wathen, A. J. (2008) Optimal solvers for PDEConstrained Optimization. Technical Report. Unspecified. (Submitted) Rees, Tyrone and Stoll, Martin and Wathen, A. J. (2009) Allatonce preconditioning in PDEconstrained optimization. Not specified . (Submitted) Rees, Tyrone and Wathen, A. J. (2008) Chebyshev semiiteration in Preconditioning. Technical Report. Unspecified. (Submitted) Rees, Tyrone and Wathen, A. J. (2010) Preconditioning iterative methods for the optimal control of the Stokes equation. Technical Report. SICS. (Submitted) Reisinger, Christoph and Giles, M. B. (2011) Stochastic finite differences and multilevel Monte Carlo for a class of SPDEs in finance. Working Paper. N/A. (Submitted) Reisinger, Christoph and Wittum, Gabriel (2005) Efficient hierarchical approximation of highdimensional option pricing problems. SIAM Journal on Scientific Computing . (Submitted) Reisinger, Christoph and Wittum, Gabriel (2004) On multigrid for anisotropic equations and variational inequalities: pricing multidimensional European and American options. Computing and Visualization in Science, 7 (34). pp. 189197. ISSN 14330369 Renaut, Rosemary and Zhu, Shengxin (2012) Application of Fredholm integral equations inverse theory to the radial basis function approximation problem. Technical Report. Unspecified. (Submitted) Rhebergen, Sander (2013) Wellbalanced adaptive and moving mesh spacetime discontinuous Galerkin method for the shallow water equations. Technical Report. Unspecified. (Submitted) Richardson, Mark (2012) Chebyshev interpolation for functions with endpoint singularities via exponential and doubleexponential transforms. Technical Report. SINUM. (Submitted) Richardson, Mark and Trefethen, Lloyd N. (2011) A sinc function analogue of chebfun. Technical Report. SIAM. (Submitted) Rollett, J. S. and Mayers, David and Shah, T. M. (1988) Analysis and Application of an efficient line solver based upon the Symmetrical Coupled GaussSeidel Scheme. Technical Report. Unspecified. Roose, T. (2000) Mathematical model of plant nutrient uptake. PhD thesis, University of Oxford. SSalman, Hayder and McGuirk, James J. and Page, Gary J. and Moinier, Pierre (2000) The Influence of Unstructured Mesh Type on the Prediction of Convoluted Shear Layers. Technical Report. Unspecified. (Submitted) Sangalli, Giancarlo (1999) A robust a posteriori estimator for the residualfree bubbles method applied to advectiondiffusion problems. Technical Report. Unspecified. (Submitted) Schmelzer, Thomas and Baillie, Robert (2006) Summing curious, slowly convergent, harmonic subseries. Technical Report. Unspecified. (Submitted) Schmelzer, Thomas and Trefethen, Lloyd N. (2005) Computing the Gamma function using contour integrals and rational approximations. Technical Report. Unspecified. (Submitted) Schmelzer, Thomas and Trefethen, Lloyd N. (2006) Evaluating matrix functions for exponential integrators via CarathéodoryFejér approximation and contour integrals. Technical Report. Unspecified. (Submitted) Schonbek, Maria E. and Suli, Endre (1998) Decay of the total variation and Hardy norms of solutions to parabolic conservation laws. Technical Report. Unspecified. (Submitted) Schoof, C. (2002) Mathematical models of glacier sliding and drumlin formation. PhD thesis, University of Oxford. Schraeder, Daniela and Wendland, Holger (2010) An extended error analysis for a meshfree discretization method of Darcy's problem. Technical Report. UNSPECIFIED. (Unpublished) Schwab, Christoph and Suli, Endre (2011) Adaptive Galerkin approximation algorithms for partial differential equations in infinite dimensions. Technical Report. Unspecified. (Submitted) Schwab, Christoph and Suli, Endre and Todor, RaduAlexandru (2007) Sparse finite element approximation of highdimensional transportdominated diffusion problems. Technical Report. Unspecified. (Submitted) Sekimura, T. and Madzvamuse, A. and Wathen, A. J. and Maini, P. K. (2000) A Model for Colour Pattern Formation in the Butterfly Wing of Papilio dardanus. Technical Report. Unspecified. (Submitted) Sekimura, T. and Madzvamuse, A. and Wathen, A. J. and Maini, P. K. (2002) Pigmentation of pattern formation in the butterfly wing of Papilio dardanus. Technical Report. Unspecified. (Submitted) Silvester, David and Elman, Howard C. and Kay, David and Wathen, A. J. (1999) Efficient preconditioning of the linearized NavierStokes equations. Technical Report. Unspecified. (Submitted) Slevinsky, R. M. and Olver, Sheehan (2015) A fast and wellconditioned spectral method for singular integral equations. Technical Report. Unspecified. (Submitted) Smears, Iain (2013) Nonoverlapping domain decomposition preconditioners for discontinuous Galerkin finite element methods in type norms. Technical Report. Unspecified. (Submitted) Smears, Iain (2015) Robust and efficient preconditioners for the discontinuous Galerkin timestepping method. Technical Report. Unspecified. (Submitted) Smears, Iain and Suli, Endre (2013) Discontinuous Galerkin finite element approximation of HamiltonJacobiBellman equations with Cordès coefficients. Technical Report. Unspecified. (Submitted) Smears, Iain and Suli, Endre (2012) Discontinuous Galerkin finite element approximation of nondivergence form elliptic equations with Cordes coefficients. Technical Report. Unspecified. (Submitted) Smillie, A. and Sobey, Ian and Molnar, Z. (2004) A hydroelastic model of hydrocephalus. Technical Report. Unspecified. (Submitted) Song, Tianchi (2012) Optimal Stopping with Behavioral Objective. Masters thesis, University of Oxford. Sousa, E. and Sobey, Ian (1998) Finite Difference Approximation of a Convection Diffusion Equation Near a Boundary. Technical Report. Unspecified. (Submitted) Sousa, E. and Sobey, Ian (2001) A family of finite difference schemes for the convectiondiffusion equation in two dimensions. Technical Report. Unspecified. (Submitted) Sousa, E. and Sobey, Ian (2002) A new perspective on the stability of unsteady streamfunction vorticity calculations. Technical Report. Unspecified. (Submitted) Southern, J. (2002) Vibrational properties of fibre reinforced hoses. Masters thesis, University of Oxford. Stoll, Martin (2008) A KrylovSchur approach to the truncated SVD. Technical Report. Unspecified. (Submitted)
Stoll, Martin and Rees, Tyrone
(2009)
Block triangular preconditioners for PDE constrained
Stoll, Martin and Wathen, A. J. (2010) Allatonce solution of timedependent PDEconstrained optimization problems. Technical Report. Unspecified. (Submitted) Stoll, Martin and Wathen, A. J. (2007) The BramblePasciak preconditioner for saddle point problems. Technical Report. Unspecified. (Submitted) Stoll, Martin and Wathen, A. J. (2007) Combination preconditioning and selfadjointness in nonstandard inner products with application to saddle point problems. Technical Report. Unspecified. (Submitted)
Stoll, Martin and Wathen, A. J.
(2009)
Preconditioning for active set and projected gradient methods as
Suli, Endre (2005) Finite element approximation of highdimensional transportdominated diffusion problems. Technical Report. Unspecified. (Submitted) Suli, Endre (2006) A GagliardoNirenberg inequality, with application to dualitybased a posteriori error estimation in the L1 norm. Technical Report. Unspecified. (Submitted) Suli, Endre (1997) A posteriori error analysis and adaptivity for finite element approximations of hyperbolic problems. Technical Report. Unspecified. (Submitted) Suli, Endre and Houston, P. (2002) Adaptive Finite Element Approximation of Hyperbolic Problems. Technical Report. Unspecified. (Submitted) Suli, Endre and Houston, P. (1996) Finite element methods for hyperbolic problems: a posteriori error analysis and adaptivity. Technical Report. Unspecified. (Submitted) Suli, Endre and Houston, P. and Schwab, Christoph (1999) hpFinite Element Methods for Hyperbolic Problems. Technical Report. Unspecified. (Submitted) Suli, Endre and Houston, P. and Senior, Bill (2001) hpDiscontinuous Galerkin Finite Element Methods for Hyperbolic Problems: Error Analysis and Adaptivity. Technical Report. Unspecified. (Submitted) Suli, Endre and Schwab, Christoph and Houston, P. (1999) hpDGFEM for Partial Differential Equations with Nonnegative Characteristic Form. Technical Report. Unspecified. (Submitted) Suli, Endre and Wilkins, Catherine (2000) A priori analysis for the semidiscrete approximation to the nonlinear damped wave equation. Technical Report. Unspecified. (Submitted) TTakacs, Stefan (2013) Efficient smoothers for allatonce multigrid methods for Poisson and Stokes control problems. Technical Report. Unspecified. (Submitted) Takacs, Stefan (2013) A robust allatonce multigrid method for the Stokes control problem. Technical Report. Unspecified. (Submitted) Takacs, Stefan (2013) A robust multigrid method for the timedependent Stokes problem. Technical Report. Unspecified. (Submitted) Tanner, Jared and Wei, Ke (2014) Low rank matrix completion by alternating steepest descent methods. Technical Report. unspecified. (Submitted) Tee, T. W. and Sobey, Ian (2004) Spectral method for the unsteady incompressible NavierStokes equations in gauge formulation. Technical Report. Unspecified. (Submitted) Tee, T. W. and Trefethen, Lloyd N. (2005) A rational spectral collocation method with adaptively transformed Chebyshev grid points. Technical Report. Unspecified. (Submitted) Townsend, Alex and Noferini, Vanni and Nakatsukasa, Yuji (2012) Vector spaces of linearizations for matrix polynomials: A bivariate polynomial approach. Technical Report. SIMAX. (Submitted) Townsend, Alex and Trefethen, Lloyd N. (2014) Continuous analogues of matrix factorizations. Technical Report. SIAM Review. (Submitted) Townsend, Alex and Trefethen, Lloyd N. (2013) Gaussian elimination as an iterative algorithm. Technical Report. SIAM. (Submitted) Townsend, Alex and Trefethen, Lloyd N. (2013) An extension of Chebfun to two dimensions. Technical Report. SISC. (Submitted) Trefethen, Lloyd N. (1999) Computation of Pseudospectra. Technical Report. Acta Numerica. (Submitted) Trefethen, Lloyd N. (2008) Householder triangularization of a quasimatrix. Technical Report. Unspecified. (Submitted) Trefethen, Lloyd N. (2006) Is Gauss quadrature better than ClenshawCurtis? Technical Report. Unspecified. (Submitted) Trefethen, Lloyd N. (2006) Numerical Analysis. Technical Report. Princeton University Press. (Submitted) Trefethen, Lloyd N. (1998) Predictions for Scientific Computing Fifty Years from Now. Technical Report. Unspecified. (Submitted) Trefethen, Lloyd N. (2011) Six myths of polynomial interpolation and quadrature. Technical Report. Mathematics Today. (Submitted) Trefethen, Lloyd N. (2005) Ten Digit Algorithms. Technical Report. Unspecified. (Submitted) Trefethen, Lloyd N. (2011) Ten Digit Problems. Technical Report. Springer. (Submitted) Trefethen, Lloyd N. (2004) Wave Packet Pseudomodes of Variable Coefficient Differential Operators. Technical Report. Unspecified. (Submitted) Trefethen, Lloyd N. and Betcke, Timo (2005) Computed eigenmodes of planar regions. Technical Report. Unspecified. (Submitted) Trefethen, Lloyd N. and Chapman, S. J. (2002) Wave packet pseudomodes of twisted Toeplitz matrices. Technical Report. Unspecified. (Submitted) Trefethen, Lloyd N. and Chapman, S. J. and Henningson, Dan S. and Meseguer, A. and Mullin, Tom and Nieuwstadt, F. T. M. (2000) Threshold amplitudes for transition to turbulence in a pipe. Technical Report. Unspecified. (Submitted) Trefethen, Lloyd N. and Contedini, Marco and Embree, Mark (2000) Spectra, pseudospectra, and localization for random bidiagonal matrices. Technical Report. Unspecified. (Submitted) Trefethen, Lloyd N. and Weideman, J. A. C. (2013) The exponentially convergent trapezoidal rule. Technical Report. SIAM. (Submitted) Trefethen, Lloyd N. and Weideman, J. A. C. and Schmelzer, Thomas (2005) Talbot quadratures and rational approximations. Technical Report. Unspecified. (Submitted) Trogdon, Thomas and Olver, Sheehan and Deconinck, Bernard (2011) Numerical inverse scattering for the Korteweg–de Vries and modified Korteweg–de Vries equations. Technical Report. Physica D. (Submitted) Troha, M and Hauser, R (2014) The impact of startup costs and the grid operator on the power price equilibrium. Technical Report. Not specified. (Submitted) Troha, M and Hauser, Raphael (2014) Calculation of a power price equilibrium. Technical Report. Not specified. (Submitted) Troha, M and Hauser, Raphael (2014) The existence and uniqueness of a power price equilibrium. Technical Report. Not specified. (Submitted) Vvan Deun, Joris and Trefethen, Lloyd N. (2010) A robust implementation of the CarathéodoryFejér method. Technical Report. Springer. (Submitted) WWacher, Abigail (2005) MMPDE vs. SGWMFE Experiments in one dimension. Technical Report. Unspecified. (Submitted) Wacher, Abigail and Sobey, Ian and Miller, Keith (2003) String Gradient Weighted Moving Finite Elements for Systems of Partial Differential Equations. Technical Report. Unspecified. (Submitted) Wathen, A. J. (2000) Preconditioned iterative methods for implicit equations. Technical Report. Unspecified. (Submitted) Wathen, A. J. (2007) Preconditioning and convergence in the right norm. Technical Report. Unspecified. (Submitted) Wathen, A. J. (2004) Preconditioning and fast solvers for incompressible flow. Technical Report. Unspecified. (Submitted) Wathen, A. J. and Fischer, B. and Silvester, David (1997) The convergence of iterative solution methods for symmetric and indefinite linear systems. Technical Report. Unspecified. (Submitted) Wathen, A. J. and Loghin, Daniel and Kay, David and Elman, Howard C. and Silvester, David (2002) A preconditioner for the 3D Oseen equations. Technical Report. Unspecified. (Submitted) Webb, Marcus and Trefethen, Lloyd N. and Gonnet, Pedro (2011) Stability of barycentric interpolation formulas. Technical Report. SISC J. Sci. Comp. (Submitted) Weideman, J. A. C. (2005) Optimizing Talbot's Contours for the Inversion of the Laplace Transform. Technical Report. Unspecified. (Submitted) Weideman, J. A. C. and Trefethen, Lloyd N. (2006) The Kink Phenomenon in Fejér and ClenshawCurtis Quadrature. Technical Report. Unspecified. (Submitted) Weideman, J. A. C. and Trefethen, Lloyd N. (2005) Parabolic and Hyperbolic Contours for Computing the Bromwich Integral. Technical Report. Unspecified. (Submitted) Wendland, Holger (2010) A highorder approximation method for semilinear parabolic equations on spheres. Technical Report. UNSPECIFIED. (Unpublished) White, A. J. P. (2001) The effects of ionic surfactants on expanding free surfaces. Masters thesis, University of Oxford. Whitehouse, S. G. (1999) PODGalerkin modelling of the Martian atmosphere. PhD thesis, University of Oxford. Whiteley, J. P. (2009) Model reduction using a posteriori analysis. Not specified . (Submitted) Wirth, Benedikt and Sobey, Ian and Eisentraeger, Almut (2010) A note on the solution of a poroelastic problem. Technical Report. Unspecified. (Submitted) Wright, Grady B. and Javed, Mohsin and Montanelli, Hadrien and Trefethen, Lloyd N. (2015) Extension of Chebfun to periodic functions. Technical Report. SIAM, SIAM J. Sci. Comp. (Submitted) Wright, Thomas G. and Trefethen, Lloyd N. (2000) Computing Lyapunov constants for random recurrences with smooth coefficients. Technical Report. Unspecified. (Submitted) Wright, Thomas G. and Trefethen, Lloyd N. (2001) Eigenvalues and Pseudospectra of Rectangular Matrices. Technical Report. Unspecified. (Submitted) Wright, Thomas G. and Trefethen, Lloyd N. (2000) Largescale computation of pseudospectra using ARPACK and eigs. Technical Report. Unspecified. (Submitted) Wu, Zhemin (2012) Pricing American Options using Monte Carlo Method. Masters thesis, University of Oxford. XXia, Yuan (2013) Multilevel Monte Carlo for jump processes. PhD thesis, University of Oxford. YYang, X. S. (1997) Mathematical modelling of compaction and diagenesis in sedimentary basins. PhD thesis, University of Oxford. ZZhang, Yunxian (2012) Market Models in Stochastic Portfolio Theory. Masters thesis, University of Oxford. Zhang, Chaoyan (2012) Robust Hedging of Variance Swaps: Discrete Sampling & Comaturing European Options. Masters thesis, University of Oxford. Zhu, S and Wathen, A. J. (2014) Convexity and solvability for compactly supported radial basis functions with different shapes. SISC . (Submitted) Zhu, Shengxin (2012) Compactly supported radial basis functions: How and why? Technical Report. SIAM. (Submitted) Zhu, Shengxin and Wathen, A. J. (2014) Fast sparse kernel summation on Cartesian grids. Technical Report. SIAM, SISC. (Submitted)
Zygalakis, K. C.
(2009)
On the existence and the applications of
