Prof. Andrew Wathen

BA, PhD

Status

Emeritus

Professor of Computational Mathematics, Fellow of New College.

+44 1865 615316

Contact form

ORCID iD

https://orcid.org/0000-0001-9992-5588

Research groups

Numerical Analysis

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Major / recent publications

My papers are visible through Google Scholar or MathSciNet, but several colleagues have told me that they have had difficulty viewing my review paper on preconditioning, so here is a link

A. J. Wathen (2015). Preconditioning. Acta Numerica, 24, pp 329-376

Recent books

Finite Elements and Fast Iterative Solvers Elman, H Silvester, D Wathen, A (2005)

Recent publications

Least squares and the not-Normal Equations

Wathen, A SIAM Review volume 67 issue 4 865-872 (06 Nov 2025) doi:10.1137/23m161851x

A note on indefinite matrix splitting and preconditioning

Wathen, A Linear Algebra and its Applications (23 Apr 2025) doi:10.1016/j.laa.2025.04.004

A note on indefinite matrix splitting and preconditioning

Wathen, A (07 Apr 2025) doi:10.48550/arxiv.2412.01554

Iterative solution techniques for the Lagrange-Galerkin method

Ramage, A Wathen, A Numerical Methods for Fluid Dynamics 401-407 (31 Oct 2023) doi:10.1093/oso/9780198536963.003.0033

Some comments on preconditioning for normal equations and least squares

Wathen, A SIAM Review volume 64 issue 3 640-649 (04 Aug 2022) doi:10.1137/20M1387948

Highlighted books

Finite Elements and Fast Iterative Solvers With Applications in Incompressible Fluid Dynamics Elman, H Silvester, D Wathen, A (2014)

Highlighted publications

Preconditioning

Wathen, A Acta Numerica volume 24 329-376 (27 Apr 2015) doi:10.1017/S0962492915000021

A Preconditioned MINRES method for nonsymmetric Toeplitz matrices

Pestana, J Wathen, A SIAM Journal on Matrix Analysis and Applications volume 36 issue 1 273-288 (19 Mar 2015) doi:10.1137/140974213

OPTIMAL SOLVERS FOR PDE-CONSTRAINED OPTIMIZATION

Rees, T Dollar, H Wathen, A SIAM JOURNAL ON SCIENTIFIC COMPUTING volume 32 issue 1 271-298 (2010) doi:10.1137/080727154

CHEBYSHEV SEMI-ITERATION IN PRECONDITIONING FOR PROBLEMS INCLUDING THE MASS MATRIX

Wathen, A Rees, T ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS volume 34 125-135 (2008) https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=elements_prod_1&SrcAuth=WosAPI&KeyUT=WOS:000273123000012&DestLinkType=FullRecord&DestApp=WOS_CPL

COMBINATION PRECONDITIONING AND THE BRAMBLE-PASCIAK+ PRECONDITIONER

Stoll, M Wathen, A SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS volume 30 issue 2 582-608 (2008) doi:10.1137/070688961

Research interests

Numerical Analysis, Numerical Linear Algebra and the Numerical Solution of Partial Differential Equations