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