Prof. Andrew Wathen

BA, PhD

Status

Academic Faculty

Professor of Computational Mathematics, Fellow of New College.

Contact form

+44 1865 615316

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

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)

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)

OPTIMAL SOLVERS FOR PDE-CONSTRAINED OPTIMIZATION

Rees, T Dollar, H Wathen, A SIAM JOURNAL ON SCIENTIFIC COMPUTING volume 32 issue 1 271-298 (2010) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000277837000016&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

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) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000259955600010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

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) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000273123000012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

Research interests

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

Recent books

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

Recent publications

Some comments on preconditioning for normal equations and least squares

Wathen, A SIAM Review volume 64 issue 3 640-649 (04 Aug 2022)

Space-time block preconditioning for incompressible flow

Danieli, F Southworth, B Wathen, A SIAM Journal on Scientific Computing volume 44 issue 1 A337-A363 (08 Feb 2022)

Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems

Hon, S Serra-Capizzano, S Wathen, A BIT Numerical Mathematics volume 62 issue 2 465-491 (09 Aug 2021)

Some observations on preconditioning for non-self-adjoint and time-dependent problems

Wathen, A Computers and Mathematics with Applications (11 Jun 2021)

All‐at‐once solution of linear wave equations

Danieli, F Wathen, A Numerical Linear Algebra with Applications volume 28 issue 6 (03 May 2021)

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