Status:
Professor of Computational Mathematics, Fellow of New College.
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:
Preconditioners for multilevel Toeplitz linear systems from steady-state and evolutionary advection-diffusion equations
Applied Numerical Mathematics
volume 161
page 469-488
(March 2021)
A constrained pressure-temperature residual (CPTR) method for non-isothermal multiphase flow in porous media
SIAM Journal on Scientific Computing
issue 4
volume 42
page B1014-B1040
(30 July 2020)
A block preconditioner for non-isothermal flow in porous media
JOURNAL OF COMPUTATIONAL PHYSICS
volume 395
page 636-652
(15 October 2019)
Full text available
Preconditioners for two-phase incompressible Navier-Stokes flow
SIAM Journal on Scientific Computing
issue 4
volume 41
page B843-B869
(22 August 2019)
A note on parallel preconditioning for all-at-once evolutionary PDEs
Electronic Transactions on Numerical Analysis
volume 51
page 135-150
(15 June 2019)
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