Publication profiles

Google Scholar


Preprints

Computing accurate singular vectors and eigenvectors using mixed-precision Jacobi algorithms
Françoise Tisseur, Marcus Webb, Zhengbo Zhou
Submitted 2026. arXiv
Inelastic Neutron Scattering and Electron Paramagnetic Resonance Studies of the Spin Dynamics in a Heterovalent Hexametallic Manganese Complex: Searching for a Switch in a Haystack of Energy Levels
Rasmus T. Christansen, Selena J. Lockyer, Alban Bloor Riley, David Hunger, Grigore A. Timco, Eric. J. L. McInnes, Jacques Ollivier, Marcus Webb, Rodolphe Clérac, Joris van Slageren, Michael L. Baker, and Richard E. P. Winpenny
Submitted 2026.
Stable Hermite transforms via the Golub-Welsch algorithm
Marcus Webb, Georg Maierhofer
Submitted 2026. arXiv
T-systems: a theory of orthonormal functions with a tridiagonal differentiation matrix
Arieh Iserles, Marcus Webb
Submitted 2026. arXiv

Publications

2026
Computing accurate singular values using a mixed-precision one-sided Jacobi algorithm
Françoise Tisseur, Marcus Webb, Zhengbo Zhou
Accepted in SIAM Journal on Matrix Analysis and Applications, 2026. arXiv
Simulation of Radiation Chemistry by a One-Shot Hybrid Continuum / Monte Carlo Method
Charlie Fynn Perkins, Marcus Webb and Fred J. Currell
Accepted in Royal Society of Chemistry Digital Discovery, 2026. arXiv
A Sherman--Morrison--Woodbury approach to solving least squares problems with low-rank updates
Stefan Güttel, Yuji Nakatsukasa, Marcus Webb, Alban Bloor Riley
Accepted in IMA Journal of Numerical Analysis, Special Issue for Nick Higham, 2026. arXiv
Low-rank approximation of analytic kernels
Marcus Webb
Accepted in IMA Journal of Numerical Analysis, Special Issue for Nick Higham, 2026. arXiv
A Riemannian Gradient Descent Method for the Least Squares Inverse Eigenvalue Problem
Alban Bloor Riley, Marcus Webb, Michael L. Baker
BIT Numerical Mathematics, 2026. DOI (open access)
INS_IEP: A MATLAB package for fitting Inelastic Neutron Scattering data.
Alban Bloor Riley, Marcus Webb, Michael L. Baker
Journal of Open Source Software, 2026. DOI (open access)
2025
Computing accurate eigenvalues using a mixed-precision Jacobi algorithm
Nicholas J. Higham, Françoise Tisseur, Marcus Webb, Zhengbo Zhou
SIAM Journal on Matrix Analysis and Applications, 2025. DOI arXiv
Deflation techniques for finding multiple local minima of nonlinear least squares problems
Alban Bloor Riley, Marcus Webb, Michael L. Baker
SIAM Journal on Scientific Computing, 2025. DOI arXiv
2024
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
2023
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)
2022
Approximation of wave packets on the real line
Arieh Iserles, Karen Luong, Marcus Webb
Constructive Approximation, 2022. DOI (open access)
2021
Spectra of Jacobi operators via connection coefficient matrices
Marcus Webb, Sheehan Olver
Communications in Mathematical Physics, 2021 DOI (open access)
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
2020
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 (open access)
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 (open access)
Pointwise and uniform convergence of Fourier extensions
Marcus Webb, Vincent Coppé, Daan Huybrechs
Constructive Approximation, 2020. DOI (open access)
2019
Orthogonal systems with a skew-symmetric differentiation matrix
Arieh Iserles, Marcus Webb
Foundations of Computational Mathematics (FoCM), 2019. DOI (open access)
2018
Fast polynomial transforms based on Toeplitz and Hankel matrices
Alex Townsend, Marcus Webb, Sheehan Olver
Mathematics of Computation, 2018. DOI arXiv
2016
Volume preservation by Runge-Kutta methods
Philip Bader, David I. McLaren, GRW Quispel, Marcus Webb
Applied Numerical Mathematics, 2016. DOI arXiv
2013
Computing complex singularities of differential equations with Chebfun
Marcus Webb
SIAM Undergraduate Research Online (SIURO), 2013. DOI preprint
2012
Stability of barycentric interpolation formulas for extrapolation
Marcus Webb, Lloyd N. Trefethen, Pedro Gonnet
SIAM Journal on Scientific Computing (SISC), 2012. DOI preprint

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

Unpublished Technical Reports

Numerical solution of the linear semiclassical Schrödinger equation on the real line
Arieh Iserles, Karolina Kropielnicka, Katharina Schratz, Marcus Webb
Submitted 2021 arXiv

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