Status:
Professor of Computational Mathematics, Fellow of New College.
+44 1865 615316
ORCID iD:
https://orcid.org/0000-0001-9992-5588
Research groups:
Address
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
ISBN-13: 9780199678808
(2014)
Recent Books:
Finite Elements and Fast Iterative Solvers
(2005)
Highlighted Publications:
Preconditioning
Acta Numerica
volume 24
page 329-376
(27 April 2015)
A Preconditioned MINRES method for nonsymmetric Toeplitz matrices
SIAM Journal on Matrix Analysis and Applications
issue 1
volume 36
page 273-288
(19 March 2015)
OPTIMAL SOLVERS FOR PDE-CONSTRAINED OPTIMIZATION
SIAM JOURNAL ON SCIENTIFIC COMPUTING
issue 1
volume 32
page 271-298
(2010)
Full text available
COMBINATION PRECONDITIONING AND THE BRAMBLE-PASCIAK+ PRECONDITIONER
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
issue 2
volume 30
page 582-608
(2008)
Full text available
CHEBYSHEV SEMI-ITERATION IN PRECONDITIONING FOR PROBLEMS INCLUDING THE MASS MATRIX
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS
volume 34
page 125-135
(2008)
Full text available
Recent Publications:
Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems
BIT Numerical Mathematics
(9 August 2021)
Some observations on preconditioning for non-self-adjoint and time-dependent problems
Computers and Mathematics with Applications
(11 June 2021)
All‐at‐once solution of linear wave equations
Numerical Linear Algebra with Applications
(3 May 2021)
Preconditioners for multilevel Toeplitz linear systems from steady-state and evolutionary advection-diffusion equations
Applied Numerical Mathematics
volume 161
page 469-488
(March 2021)
Multipreconditioning with application to two-phase incompressible navier–stokes flow
Lecture Notes in Computational Science and Engineering
volume 139
page 165-173
(22 August 2020)
Research interests:
Numerical Analysis, Numerical Linear Algebra and the Numerical Solution of Partial Differential Equations
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 recent review paper, so here is a link
A. J. Wathen (2015). Preconditioning. Acta Numerica, 24, pp 329-376