Deflation techniques for finding multiple local minima of nonlinear least squares problems Alban Bloor Riley, Marcus Webb, Mike Baker Submitted 2024 preprint |
A Sherman--Morrison--Woodbury approach to solving least squares problems with low-rank updates Stefan Güttel, Yuji Nakatsukasa, Marcus Webb, Alban Bloor Riley Submitted 2024 arXiv |
Are sketch-and-precondition least squares solvers numerically stable? Maike Meier, Yuji Nakatsukasa, Alex Townsend, Marcus Webb SIAM Journal on Matrix Analysis and Applications, 2024 DOI arXiv |
Sobolev-Orthogonal Systems with Tridiagonal Skew-Hermitian Differentiation Matrices Arieh Iserles, Marcus Webb Studies in Applied Mathematics, 2023. DOI (open access) |
A new approach for simulating inhomogeneous chemical kinetics Georgia Bradshaw, Mel O'Leary, Arther S. F. Purser, Balder Villgomex-Bernabe, Cyrus Wyett, Fred Currell, Marcus Webb Scientific Reports, 2023 DOI (open access) |
Approximation of wave packets on the real line Arieh Iserles, Karen Luong, Marcus Webb Constructive Approximation, 2022. DOI (open access) |
Spectra of Jacobi operators via connection coefficient matrices Marcus Webb, Sheehan Olver Communications in Mathematical Physics, 2021 DOI (open access) |
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 |
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 |
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 |
Pointwise and uniform convergence of Fourier extensions Marcus Webb, Vincent Coppé, Daan Huybrechs Constructive Approximation, 2020. DOI (open access) |
Orthogonal systems with a skew-symmetric differentiation matrix Arieh Iserles, Marcus Webb Foundations of Computational Mathematics (FoCM), 2019. DOI (open access) |
Fast polynomial transforms based on Toeplitz and Hankel matrices Alex Townsend, Marcus Webb, Sheehan Olver Mathematics of Computation, 2018. 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 |
Numerical solution of the linear semiclassical Schrödinger equation on the real line Arieh Iserles, Karolina Kropielnicka, Katharina Schratz, Marcus Webb Submitted 2021 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 |