Number of items at this level: **43**.

## Article

Addison, J. A. and Howison, S. D. and King, J. R.
(2005)
*Ray methods for Free Boundary Problems.*
Quarterly of Applied Mathematics
.
(In Press)

Chapman, S. J. and Howls, C. J. and King, J. R. and Olde Daalhius, A. B.
(2007)
*Why is a shock not a caustic? The higher-order Stokes phenomenon and smoothed shock formation.*
Nonlinearity, 20
(10).
pp. 2425-2452.
ISSN 0951-7715

Chapman, S. J.
*Derivation of the bidomain equations for a beating heart with a general microstructure.*
SIAM Journal of Applied Mathematics
.
ISSN 0036-1399
(Submitted)

Chapman, S. J.
(2000)
*A hierarchy of models for type-II superconductors.*
SIAM Review, 42
(4).
pp. 555-598.

Fowler, A. C. and Frigaard, I. and Howison, S. D.
(1992)
*Temperature surges in current-limiting circuit devices.*
SIAM J. Appl. Math., 52
.
pp. 998-1011.

Howison, Sam and Rafailidis, Avraam and Rasmussen, Henrik
(2003)
*On the pricing and hedging of volatility derivatives.*
Applied Mathematical Finance
.
(In Press)

## Technical Report

Embree, Mark and Trefethen, Lloyd N.
(1998)
*Green's functions for multiply connected domains via conformal mapping.*
Technical Report.
SIAM.
(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)

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)

Gonnet, Pedro and Guettel, Stefan and Trefethen, Lloyd N.
(2011)
*Robust Padé approximation via SVD.*
Technical Report.
SIAM review.
(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)

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)

Hauser, Raphael and Nedic, Jelena
(2004)
*On the relationship between convergence rates of discrete and continuous dynamical systems.*
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)

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)

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)

Schmelzer, Thomas and Trefethen, Lloyd N.
(2006)
*Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.*
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)

Trefethen, Lloyd N.
(2006)
*Is Gauss quadrature better than Clenshaw-Curtis?*
Technical Report.
Unspecified.
(Submitted)

Trefethen, Lloyd N. and Weideman, J. A. C. and Schmelzer, Thomas
(2005)
*Talbot quadratures and rational approximations.*
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)

Zhu, Shengxin
(2012)
*Compactly supported radial basis functions: How and why?*
Technical Report.
SIAM.
(Submitted)

## Thesis

Coats, J.
(2002)
*High frequency asymptotics of antenna/structure interactions.*
PhD thesis, University of Oxford.

Dew, N.
(2003)
*Asymptotic structure of banach spaces.*
PhD thesis, University of Oxford.

Fozard, John Andrew
(2005)
*Diffraction and scattering of high frequency waves.*
PhD thesis, University of Oxford.

Gillow, K. A.
(1998)
*Codimension-two free boundary problems.*
PhD thesis, University of Oxford.

Jones, G. W.
(2007)
*Static Elastic Properties of Composite Materials Containing Microspheres.*
PhD thesis, University of Oxford.

Kaouri, K.
(2004)
*Secondary Sonic Boom.*
PhD thesis, University of Oxford.

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.

Ng, F. S. L.
(1998)
*Mathematical modelling of subglacial drainage and erosion.*
PhD thesis, University of Oxford.

Noon, C.
(1996)
*Secondary frost heave in freezing soils.*
PhD thesis, University of Oxford.

Oliver, J. M.
(1998)
*The thinning of the liquid layer over a probe in two-phase flow.*
Masters thesis, University of Oxford.

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

Schoof, C.
(2002)
*Mathematical models of glacier sliding and drumlin formation.*
PhD thesis, University of Oxford.

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

## Other

Shaw, William T.
(2005)
*New methods for simulating the Student T-distribution - Direct use of the inverse cumulative distribution function.*
Submitted to Journal of Computational Finance.
(Submitted)

This list was generated on **Thu Oct 8 18:11:36 2015 BST**.