Preprints

Sobolev-Orthogonal Systems with Tridiagonal Skew-Hermitian Differentiation Matrices
Arieh Iserles, Marcus Webb
Submitted 2022 arXiv preprint
Numerical solution of the linear semiclassical Schrödinger equation on the real line
Arieh Iserles, Karolina Kropielnicka, Katharina Schratz, Marcus Webb
Submitted 2021 arXiv preprint

Published in international peer-reviewed journals

Approximation of wave packets on the real line
Arieh Iserles, Karen Luong, Marcus Webb
Accepted in Constructive Approximation, 2022. arXiv preprint
Spectra of Jacobi operators via connection coefficient matrices
Marcus Webb, Sheehan Olver
Communications in Mathematical Physics, 2021 DOI arXiv preprint
The AZ algorithm for least squares systems with a known incomplete generalized inverse
Vincent Coppé, Daan Huybrechs, Roel Matthysen, Marcus Webb
SIAM Journal on Matrix Analysis and Applications (SIMAX), 2020. DOI arXiv preprint
A family of rational orthogonal functions and other orthogonal systems with a skew-Hermitian differentiation matrix
Arieh Iserles, Marcus Webb
Journal of Fourier Analysis and Applications (JFAA), 2020. DOI arXiv preprint
Fast computation of orthogonal systems with a skew-symmetric differentiation matrix
Arieh Iserles, Marcus Webb
Communications on Pure and Applied Mathematics (CPAM), 2021. DOI arXiv preprint
Pointwise and uniform convergence of Fourier extensions
Marcus Webb, Vincent Coppé, Daan Huybrechs
Constructive Approximation, 2020. DOI arXiv preprint
Orthogonal systems with a skew-symmetric differentiation matrix
Arieh Iserles, Marcus Webb
Foundations of Computational Mathematics (FoCM), 2019. DOI preprint
Fast polynomial transforms based on Toeplitz and Hankel matrices
Alex Townsend, Marcus Webb, Sheehan Olver
Mathematics of Computation, 2017. DOI arXiv preprint
Volume preservation by Runge-Kutta methods
Philip Bader, David I. McLaren, GRW Quispel, Marcus Webb
Applied Numerical Mathematics, 2016. DOI arXiv preprint
Computing complex singularities of differential equations with Chebfun
Marcus Webb
SIAM Undergraduate Research Online (SIURO), 2013. DOI preprint
Stability of barycentric interpolation formulas for extrapolation
Marcus Webb, Lloyd N. Trefethen, Pedro Gonnet
SIAM Journal on Scientific Computing (SISC), 2012. DOI preprint

Published as book chapters

A differential analogue of Favard's theorem
From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory
Arieh Iserles, Marcus Webb
Birkhäuser book series, 2021. Link arXiv preprint

Dissertations and essays

Isospectral algorithms, Toeplitz matrices and orthogonal polynomials
Marcus Webb, supervised by Arieh Iserles.
PhD thesis, University of Cambridge, 2017. DOI pdf
Classical Young measures in the calculus of variations
Marcus Webb, supervised by Filip Rindler.
Doctoral training first year project, University of Cambridge, 2013. pdf
Analysis and approximation of a fractional differential equation
Marcus Webb, supervised by Endre Süli and David Kay.
Part C dissertation, University of Oxford, 2012. pdf

Other publications

Introductie tot de wheel theory
Daan Camps, Dan Pilbauer, Pieterjan Robbe, Raf Vandebril, Marcus Webb
Geniaal (Dutch), April 2018. link pdf

Publication profiles

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