The Mathematical Institute, University of Oxford, Eprints Archive

Items where Subject is "H - N > Numerical analysis"

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Number of items at this level: 423.

A

Amaldi, 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 DC-programming algorithm for kernel selection. Technical Report. Unspecified. (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)

B

Bai, Zhong-Zhi 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. (2002) A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides. Technical Report. Unspecified. (Submitted)

Banjai, Lehel and Trefethen, Lloyd N. (2001) Numerical solution of the omitted area problem of univalent function theory. 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 quasi-Newtonian 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 Krylov-Schur-type method based on the
symplectic Lanczos process.
Not specified . (Submitted)

Benner, Peter and Fassbender, Heike and Stoll, Martin (2009) A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process. Not specified . (Submitted)

Benner, Peter and Fassbender, Heike and Stoll, Martin (2007) Solving large-scale quadratic eigenvalue problems with Hamiltonian eigenstructure using a structure-preserving 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 second-order wave equation. Technical Report. Unspecified. (Submitted)

Berrone, Stefano and Suli, Endre (2006) Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows. Technical Report. Unspecified. (Submitted)

Berrut, Jean-Paul 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 and Driscoll, Tobin A. (2010) Automatic Frechet differentiation for the numerical solution of boundary-value 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
for Compressed Sensing and Matrix Completion.
Technical Report. Oxford University Press, Information and Inference: A Journal of the IMA. (Submitted)

Blanchard, Jeffrey D. and Tanner, Jared and Wei, Ke (2014) Conjugate Gradient Iterative Hard Thresholding:
Observed Noise Stability for Compressed Sensing.
Technical Report. unspecified. (Submitted)

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 Cahn-Hilliard 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 Advection--Diffusion 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 first-order hyperbolic problems. Technical Report. Unspecified. (Submitted)

Brezzi, Franco and Marini, Donatella and Suli, Endre (1998) Residual-free bubbles for advection-diffusion problems: the general error analysis. Technical Report. Unspecified. (Submitted)

Buffa, Annalisa and Ortner, Christoph (2007) Variational Convergence of IP-DGFEM. 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 $k$. Technical Report. Unspecified. (Submitted)

Burrage, K. and Hale, Nicholas and Kay, David (2011) An efficient implementation of an implicit FEM scheme for fractional-in-space reaction-diffusion equations. Technical Report. SIAM. (Submitted)

C

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) A-posteriori 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, Coralia (2005) On the Convergence of a Primal-Dual Second-0rder Corrector Interior Point Algorithm for Linear Programming. Technical Report. Unspecified. (Submitted)

Cartis, Coralia (2004) Some Disadvantages of a Mehrotra-Type Primal-Dual Corrector Interior Point Algorithm for Linear Programming. Technical Report. Unspecified. (Submitted)

Cartis, Coralia (2005) Some New Results Concerning the Primal-Dual Path-Following 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. (2008) Trust-region and other regularisations of linear least-squares 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 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) Active-set prediction for interior point methods
using controlled perturbations.
Technical Report. Unspecified. (Submitted)

Chandler-Wilde, S. N. and Hewett, D. P. (2014) Wavenumber-explicit continuity and coercivity estimates in acoustic scattering by planar screens. Technical Report. Not specified. (Submitted)

Chandler-Wilde, S. N. and Hewett, D. P. and Moiola, A (2014) Interpolation of Hilbert and Sobolev Spaces:
Quantitative Estimates and Counterexamples.
Technical Report. Unspecified. (Submitted)

Chandler-Wilde, S. N. and Hewett, David Peter (2013) Acoustic scattering by fractal screens: mathematical formulations and wavenumber-explicit continuity and coercivity estimates. Technical Report. to be decided. (Unpublished)

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, Chi-Wang and Suli, Endre (2001) Enhanced accuracy by post-processing 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 quasi-Newtonian 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)

D

Darmofal, David L. and Moinier, Pierre and Giles, M. B. (2000) Eigenmode Analysis of Boundary Conditions for the One-Dimensional 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 power-law-like 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 trust-region 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 implicit-factorization preconditioners for regularized saddle-point 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 saddle-point problems. Technical Report. Unspecified. (Submitted)

Dollar, H. Sue and Gould, Nicholas I. M. and Stoll, Martin and Wathen, A. J. (2008) A Bramble-Pasciak-like method with applications in optimization. Technical Report. Unspecified. (Submitted)

Dollar, H. Sue and Gould, Nicholas I. M. and Wathen, A. J. (2004) On implicit-factorization constraint preconditioners. Technical Report. Unspecified. (Submitted)

Dollar, H. Sue and Wathen, A. J. (2004) Incomplete factorization constraint preconditioners for saddle-point matrices. 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)

Donnelly, J. D. P. (1993) Some exact solutions in moving finite elements. 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)

E

Eisentraeger, 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.

F

Farmer, 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. 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) Neuro-Dynamic 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 high-dimensional Ornstein-Uhlenbeck 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)

G

Georgoulis, Emmanuil H. and Lasis, Andris (2005) A note on the design of hp-version interior penalty discontinuous Galerkin finite element methods for degenerate problems. Technical Report. Unspecified. (Submitted)

Georgoulis, Emmanuil H. and Suli, Endre (2001) hp-DGFEM on Shape-Irregular Meshes: Reaction-Diffusion 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)

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 shock-capturing in the steady quasi-1D Euler equations. Technical Report. Unspecified. (Submitted)

Giles, M. B. (2002) Discrete adjoint approximations with shocks. 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. (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 Runge-Kutta time-marching 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/Runge-Kutta Navier-Stokes 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. and Carter, R. (2005) Convergence analysis of Crank-Nicolson and Rannacher time-marching. Technical Report. Unspecified. (Submitted)

Giles, M. B. and Duta, Mihai C. and Mueller, Jens-Dominik 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 Quasi-1D 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. 572-592.

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. 882-904.

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. 905-921.

Gill, Philip E. and Robinson, Daniel P. (2008) A Primal-Dual Augmented Lagrangian. Technical Report. Unspecified. (Submitted)

Gillow, K. A. (1998) Codimension-two 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 B-spline 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
Potentials and their Derivatives.
Technical Report. Journal of Computational Physics. (Submitted)

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 least-squares. 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 second-derivative trust-region SQP method with a "trust-region-free" 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 high-order rational integration and deferred correction with equispaced data. Technical Report. Unspecified. (Submitted)

Guettel, Stefan and Knizhnerman, Leonid (2012) A black-box rational Arnoldi variant for Cauchy-Stieltjes 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 Agent-Based Models for Non-Genomic 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 Multi-Trader 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)

H

Hale, N. and Tee, T. W. (2008) Conformal Maps to Multiply-Slit 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 Sixth-Order 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 Gauss-Legendre and Gauss-Jacobi quadrature nodes and weights. Technical Report. Unspecified. (Submitted)

Hale, Nicholas and Townsend, Alex (2013) A fast, simple, and stable Chebyshev-Legendre 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 hp-adaptive 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) hp-Version 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 Schrödinger-Newton equations. PhD thesis, University of Oxford.

Hauser, Raphael (2003) The Nesterov-Todd 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 LCS-problem. 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 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 (2003) The continuous Newton-Raphson method can look ahead. 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)

Haworth, Helen and Reisinger, Christoph (2006) Modeling basket credit default swaps with default contagion. Journal of Credit Risk . (Submitted)

Hemmingsson-Fraenden, Lina and Wathen, A. J. (1999) A nearly optimal preconditioner for the Navier-Stokes equations. Technical Report. Unspecified. (Submitted)

Hewett, D. P. (2014) Shadow boundary effects in hybrid numerical-asymptotic
methods for high frequency scattering.
Technical Report. Unspecified. (Submitted)

Hewett, David Peter and Langdon, S. and Chandler-Wilde, S. N. (2013) A frequency-independent boundary element method for scattering by two-dimensional 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 hp-Finite Element Methods for Advection-Diffusion Problems. Technical Report. Unspecified. (Submitted)

Houston, P. and Schwab, Christoph and Suli, Endre (1998) Stabilized hp-Finite Element Methods for First-Order Hyperbolic Problems. Technical Report. Unspecified. (Submitted)

Houston, P. and Senior, Bill and Suli, Endre (2002) Sobolev Regularity Estimation for hp-Adaptive Finite Element Methods. Technical Report. Unspecified. (Submitted)

Houston, P. and Suli, Endre (1995) Adaptive Lagrange-Galerkin methods for unsteady convection-dominated diffusion problems. Technical Report. Unspecified. (Submitted)

Houston, P. and Suli, Endre (2001) hp-Adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems. Technical Report. Unspecified. (Submitted)

Houston, P. and Suli, Endre (1996) On the design of an artificial diffusion model for the Lagrange-Galerkin method on unstructured triangular grids. Technical Report. Unspecified. (Submitted)

Houston, P. and Suli, Endre (1997) A Posteriori Error Analysis for Linear Convection-Diffusion Problems Under Weak Mesh Regularity Assumptions. Technical Report. Unspecified. (Submitted)

Houston, P. and Suli, Endre (1997) A Posteriori Error Analysis for Systems of Nonlinear Convection-Diffusion Equations. Technical Report. Unspecified. (Submitted)

Houston, P. and Suli, Endre (1999) Stabilized hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form. Technical Report. Unspecified. (Submitted)

Houston, P. and Suli, Endre and Wihler, Thomas P. (2006) A-posteriori error analysis of hp-version discontinuous Galerkin finite element methods for second-order 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.

I

Iber, D. (2001) Modelling affinity maturation in the immune system. Masters thesis, University of Oxford.

J

Jack, R. O. (1987) Convergence properties of the Lagrange-Galerkin method with and without exact integration. Technical Report. Unspecified. (Submitted)

Jack, R. O. (1988) Stability of the Lagrange-Galerkin 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 advection-diffusion equations for radial flow. Masters thesis, University of Oxford.

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 first-order 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)

K

Kachuma, 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, Aly-Khan (2003) Solving reaction-diffusion equations 10 times faster. Technical Report. Unspecified. (Submitted)

Kassam, Aly-Khan and Trefethen, Lloyd N. (2003) Fourth-order time stepping for stiff PDEs. Technical Report. Unspecified. (Submitted)

Kay, David and Loghin, Daniel (1999) A Green's function preconditioner for the steady-state Navier-Stokes equations. Technical Report. Unspecified. (Submitted)

Kay, David and Silvester, David (2000) The reliability of local error estimators for convection-diffusion 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 Fokker-Planck 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 p-Laplacian. Technical Report. Springer. (Submitted)

L

Laird, 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 (2003) hp-Version discontinuous Galerkin finite element methods for semilinear parabolic problems. Technical Report. Unspecified. (Submitted)

Lasis, Andris and Suli, Endre (2004) One-parameter discontinuous Galerkin finite element discretisation of quasilinear parabolic problems. Technical Report. Unspecified. (Submitted)

Lasis, Andris and Suli, Endre (2003) Poincaré-type inequalities for broken Sobolev spaces. 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 root-finding for a small class of polynomials. Journal of Difference Equations and Applications, 10 (11). pp. 949-953. ISSN 1023-6198

Logg, Anders (1998) Multi-Adaptive Error Control for ODEs. Technical Report. Unspecified. (Submitted)

Loghin, D. and Wathen, A. J. (2002) Analysis of preconditioners for saddle-point 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 Navier-Stokes equations. Technical Report. Unspecified. (Submitted)

Loghin, Daniel and Wathen, A. J. (1997) Preconditioning the Advection-Diffusion Equation: the Green's Function Approach. Technical Report. Unspecified. (Submitted)

M

Mack, 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 Cauchy-Born approximations to atomistic models. Technical Report. Unspecified. (Submitted)

Mekwi, W. R. (2001) Iterative methods for roots of polynomials. Masters thesis, University of Oxford.

Meseguer, A. (2001) Nonnormal energy transient growth in the Taylor-Couette problem. Technical Report. Unspecified. (Submitted)

Meseguer, A. and Trefethen, Lloyd N. (2002) Linearized pipe flow to Reynolds number $10^7$. Technical Report. Unspecified. (Submitted)

Meseguer, A. and Trefethen, Lloyd N. (2000) A spectral Petrov-Galerkin formulation for pipe flow I: Linear stability and transient growth. Technical Report. Unspecified. (Submitted)

Meseguer, A. and Trefethen, Lloyd N. (2001) A spectral Petrov-Galerkin formulation for pipe flow II: Nonlinear transitional stages. Technical Report. Unspecified. (Submitted)

Miller, Keith (2004) Computed tomography from X-rays: old 2-D results, new 3-D 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 (1998) The adaptive computation of far-field patterns by a posteriori error estimations of linear functionals. Technical Report. SIAM. (Submitted)

Monk, Peter and Suli, Endre (1992) A Convergence Analysis of Yee's Scheme on Non-uniform Grids. Technical Report. Unspecified. (Submitted)

Morton, K. W. (1996) Coercivity for One-dimensional Cell Vertex Approximations. Technical Report. Unspecified. (Submitted)

Mozolevski, Igor and Suli, Endre (2004) hp-version 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)

N

Nafa, 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.

O

Olver, 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 (2010) A general framework for solving Riemann-Hilbert problems
numerically.
Technical Report. Unspecified. (Submitted)

Olver, Sheehan (2009) GMRES for oscillatory matrix-valued 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 Riemann-Hilbert problems: Painleve II. Technical Report. Unspecified. (Submitted)

Olver, Sheehan (2008) Preconditioned GMRES for oscillatory integrals. Technical Report. Numerische Mathematik (Springer). (Submitted)

Olver, Sheehan and Townsend, Alex (2012) A fast and well-conditioned spectral method. Technical Report. SIAM Review. (Submitted)

Ortner, Christoph (2006) A-posteriori existence in adaptive computations. Technical Report. Unspecified. (Submitted)

Ortner, Christoph (2005) Continuum Limit of a One-Dimensional Atomistic Energy Based on Local Minimization. Technical Report. Unspecified. (Submitted)

Ortner, Christoph (2004) $\Gamma$-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) A-posteriori analysis and adaptive algorithms for the quasicontinuum method in one dimension. Technical Report. Unspecified. (Submitted)

Ortner, Christoph and Suli, Endre (2006) A-priori 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 Second-Order Elliptic and Hyperbolic Systems. Technical Report. Unspecified. (Submitted)

P

Pachon, 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) Barycentric-Remez algorithms for best polynomial approximation in the chebfun system. Technical Report. BIT Numerical Mathematics (Springer). (Submitted)

Pani, A. K. and Yadav, S (2009) An hp-Local Discontinuous Galerkin method for Parabolic
Integro-Differential Equations.
Not specified . (Submitted)

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 time-dependent Hartree-Fock 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
Finite Element Modelling of Soft Tissue
Deformation.
Not specified . (Submitted)

Pearson, John W. (2013) On the role of commutator arguments in the development of parameter-robust preconditioners for Stokes control problems. Technical Report. ETNA. (Submitted)

Pearson, John W. (2013) Preconditioned iterative methods for Navier-Stokes 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 reaction-diffusion 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 Moreau-Yosida penalty function. Technical Report. Wiley. (Submitted)

Pearson, John W. and Stoll, Martin and Wathen, A. J. (2011) Regularization-robust preconditioners for time-dependent 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 Time-Dependent Optimal Control Problems. Technical Report. Wiley. (Submitted)

Pearson, John W. and Wathen, A. J. (2011) Fast iterative solvers for convection-diffusion 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. (2013) The antitriangular factorisation of saddle point 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)

Pierce, N.A. and Giles, M.B. (2000) Adjoint recovery of superconvergent functionals from PDE approximations. SIAM Review, 42 (2). pp. 247-264.

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 Biot-Savart 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)

R

Ransford, 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 PDE-Constrained Optimization. Technical Report. Unspecified. (Submitted)

Rees, Tyrone and Stoll, Martin and Wathen, A. J. (2009) All-at-once preconditioning in PDE-constrained optimization. Not specified . (Submitted)

Rees, Tyrone and Wathen, A. J. (2008) Chebyshev semi-iteration 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 high-dimensional option pricing problems. SIAM Journal on Scientific Computing . (Submitted)

Reisinger, Christoph and Wittum, Gabriel (2004) On multigrid for anisotropic equations and variational inequalities: pricing multi-dimensional European and American options. Computing and Visualization in Science, 7 (3-4). pp. 189-197. ISSN 1433-0369

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) Well-balanced $r$-adaptive and moving mesh space-time 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 double-exponential 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 Gauss-Seidel Scheme. Technical Report. Unspecified.

Roose, T. (2000) Mathematical model of plant nutrient uptake. PhD thesis, University of Oxford.

S

Salman, 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 residual-free bubbles method applied to advection-diffusion 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 Carathéodory-Fejér 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, Radu-Alexandru (2007) Sparse finite element approximation of high-dimensional transport-dominated 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 Navier-Stokes equations. Technical Report. Unspecified. (Submitted)

Smears, Iain (2013) Nonoverlapping domain decomposition preconditioners for discontinuous Galerkin finite element methods in $H^2$-type norms. Technical Report. Unspecified. (Submitted)

Smears, Iain and Suli, Endre (2013) Discontinuous Galerkin finite element approximation of Hamilton-Jacobi-Bellman equations with Cordès coefficients. Technical Report. Unspecified. (Submitted)

Smears, Iain and Suli, Endre (2012) Discontinuous Galerkin finite element approximation of non-divergence form elliptic equations with Cordes coefficients. Technical Report. Unspecified. (Submitted)

Smillie, A. and Sobey, Ian and Molnar, Z. (2004) A hydro-elastic 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 (2001) A family of finite difference schemes for the convection-diffusion equation in two dimensions. Technical Report. Unspecified. (Submitted)

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 (2002) A new perspective on the stability of unsteady stream-function vorticity calculations. Technical Report. Unspecified. (Submitted)

Southern, J. (2002) Vibrational properties of fibre reinforced hoses. Masters thesis, University of Oxford.

Stoll, Martin (2008) A Krylov-Schur approach to the truncated SVD. Technical Report. Unspecified. (Submitted)

Stoll, Martin and Rees, Tyrone (2009) Block triangular preconditioners for PDE constrained
optimization.
Not specified . (Submitted)

Stoll, Martin and Wathen, A. J. (2010) All-at-once solution of time-dependent PDE-constrained optimization problems. Technical Report. Unspecified. (Submitted)

Stoll, Martin and Wathen, A. J. (2007) The Bramble-Pasciak preconditioner for saddle point problems. Technical Report. Unspecified. (Submitted)

Stoll, Martin and Wathen, A. J. (2007) Combination preconditioning and self-adjointness in non-standard 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
semi-smooth Newton methods for PDE-constrained optimization
with control constraints.
Not specified . (Submitted)

Suli, Endre (2005) Finite element approximation of high-dimensional transport-dominated diffusion problems. Technical Report. Unspecified. (Submitted)

Suli, Endre (2006) A Gagliardo-Nirenberg inequality, with application to duality-based 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) hp-Finite Element Methods for Hyperbolic Problems. Technical Report. Unspecified. (Submitted)

Suli, Endre and Houston, P. and Senior, Bill (2001) hp-Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems: Error Analysis and Adaptivity. Technical Report. Unspecified. (Submitted)

Suli, Endre and Schwab, Christoph and Houston, P. (1999) hp-DGFEM for Partial Differential Equations with Nonnegative Characteristic Form. Technical Report. Unspecified. (Submitted)

Suli, Endre and Wilkins, Catherine (2000) A priori analysis for the semi-discrete approximation to the nonlinear damped wave equation. Technical Report. Unspecified. (Submitted)

T

Takacs, Stefan (2013) Efficient smoothers for all-at-once multigrid methods for Poisson and Stokes control problems. Technical Report. Unspecified. (Submitted)

Takacs, Stefan (2013) A robust all-at-once multigrid method for the Stokes control problem. Technical Report. Unspecified. (Submitted)

Takacs, Stefan (2013) A robust multigrid method for the time-dependent Stokes problem. Technical Report. Unspecified. (Submitted)

Tanner, Jared and Wei, Ke (2014) Low rank matrix completion by alternating steepest descent methods. Technical Report. SIAM, SIAM J. Imaging Sciences. (Submitted)

Tee, T. W. and Sobey, Ian (2004) Spectral method for the unsteady incompressible Navier-Stokes 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) An extension of Chebfun to two dimensions. Technical Report. SISC. (Submitted)

Townsend, Alex and Trefethen, Lloyd N. (2013) Gaussian elimination as an iterative algorithm. Technical Report. SIAM. (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 Clenshaw-Curtis? 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)

V

van Deun, Joris and Trefethen, Lloyd N. (2010) A robust implementation of the Carathéodory-Fejér method. Technical Report. Springer. (Submitted)

W

Wacher, 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 Clenshaw-Curtis 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 high-order 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) POD-Galerkin 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, 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) Large-scale 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.

X

Xia, Yuan (2013) Multilevel Monte Carlo for jump processes. PhD thesis, University of Oxford.

Y

Yang, X. S. (1997) Mathematical modelling of compaction and diagenesis in sedimentary basins. PhD thesis, University of Oxford.

Z

Zhang, Chaoyan (2012) Robust Hedging of Variance Swaps: Discrete Sampling & Co-maturing European Options. Masters thesis, University of Oxford.

Zhang, Yunxian (2012) Market Models in Stochastic Portfolio Theory. 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
modified equations for stochastic differential
equations.
Not specified . (Submitted)

This list was generated on Tue Sep 23 23:12:11 2014 BST.