World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
49
Citations
11488
World Ranking
1133
National Ranking
88

Overview

Andrew J. Wathen is affiliated with the University of Oxford in the United Kingdom. Their research spans several interconnected fields including Engineering and Computer Science, with notable subfields being Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis, Ocean Engineering, and Atomic and Molecular Physics and Optics.

The scientist's work is concentrated on topics that involve advanced numerical methods in computational mathematics, matrix theory and algorithms, numerical methods for differential equations, enhanced oil recovery techniques, reservoir engineering and simulation methods, as well as electromagnetic scattering and analysis.

Recent publications by Andrew J. Wathen cover a range of subjects within these areas. These papers include:

  • "All-at-once solution of linear wave equations," 2021, published in Numerical Linear Algebra with Applications
  • "Space-Time Block Preconditioning for Incompressible Flow," 2022, appearing in SIAM Journal on Scientific Computing
  • "A Constrained Pressure-Temperature Residual (CPTR) Method for Non-Isothermal Multiphase Flow in Porous Media," 2020, published in SIAM Journal on Scientific Computing
  • "When Lanczos Iterations Generate Symmetric Quadrature Nodes?," 2024, available on arXiv (Cornell University)
  • "Least Squares and the Not-Normal Equations," 2025, published in SIAM Review

Frequent co-authors in their collaborations include Federico Danieli, Ben S. Southworth, Thomas Roy, T.B. Jönsthövel, and Christopher Lemon. These collaborations indicate an interdisciplinary approach bridging numerical methods and applications in various scientific and engineering problems.

Andrew J. Wathen's work has appeared repeatedly in key venues such as SIAM Journal on Scientific Computing, Numerical Linear Algebra with Applications, arXiv, and SIAM Review, underscoring a consistent engagement with high-profile research outlets in computational mathematics and scientific computing.

Best Publications

  • Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics

    Howard C. Elman;David J. Silvester;Andrew J. Wathen

  • Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics

    Unknown

  • A Note on Preconditioning for Indefinite Linear Systems

    Malcolm F. Murphy;Gene H. Golub;Andrew J. Wathen

  • Fast iterative solution of stabilised Stokes systems part II: using general block preconditioners

    David Silvester;Andrew Wathen

  • Constraint Preconditioning for Indefinite Linear Systems

    Carsten Keller;Nicholas I. M. Gould;Andrew J. Wathen

  • A Preconditioner for the Steady-State Navier--Stokes Equations

    David Kay;Daniel Loghin;Andrew Wathen

  • Fast iterative solution of stabilised Stokes systems, part I: using simple diagonal preconditioners

    Andrew J. Wathen;David J. Silvester

  • Realistic Eigenvalue Bounds for the Galerkin Mass Matrix

    A. J. Wathen

  • Efficient preconditioning of the linearized Navier—Stokes equations for incompressible flow

    David Silvester;Howard Elman;David Kay;Andrew Wathen

  • Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations

    Howard C. Elman;David J. Silvester;Andrew J. Wathen

  • Optimal Solvers for PDE-Constrained Optimization

    Tyrone Rees;H. Sue Dollar;Andrew J. Wathen

  • Minimum residual methods for augmented systems

    B. Fischer;A. Ramage;D. J. Silvester;A. J. Wathen

  • A new approximation of the Schur complement in preconditioners for PDE-constrained optimization

    John W. Pearson;Andrew J. Wathen

  • A moving grid finite element method applied to a model biological pattern generator

    Anotida Madzvamuse;Andrew J. Wathen;Philip K. Maini

  • An Iteration for Indefinite Systems and Its Application to the Navier--Stokes Equations

    Gene H. Golub;Andrew J. Wathen

  • Analysis of Preconditioners for Saddle-Point Problems

    D. Loghin;A. J. Wathen

  • REGULARIZATION-ROBUST PRECONDITIONERS FOR TIME-DEPENDENT PDE-CONSTRAINED OPTIMIZATION PROBLEMS ∗

    John W. Pearson;Martin Stoll;Andrew J. Wathen

  • Chebyshev semi-iteration in preconditioning for problems including the mass matrix.

    Andy Wathen;Tyrone Rees

  • Iterative Methods for Problems in Computational Fluid Dynamics

    Howard C. Elman;David J. Silvester;Andrew J. Wathen

  • A Moving Grid Finite Element Method for the Simulation of Pattern Generation by Turing Models on Growing Domains

    Anotida Madzvamuse;Philip K. Maini;Andrew J. Wathen

  • FAST ITERATIVE SOLUTION OF STABILIZED STOKES SYSTEMS PART .2. USING GENERAL BLOCK PRECONDITIONERS

    David Silvester;A Wathen

  • Optimal solvers for PDE-constrained optimization

    T Rees;HS Dollar;AJ Wathen

Frequent Co-Authors

Howard C. Elman
Howard C. Elman University of Maryland, College Park
Philip K. Maini
Philip K. Maini University of Oxford
Nicholas I. M. Gould
Nicholas I. M. Gould University of Oxford
Garth N. Wells
Garth N. Wells University of Cambridge
Iain S. Duff
Iain S. Duff Rutherford Appleton Laboratory
Gene H. Golub
Gene H. Golub Stanford University
David Abramson
David Abramson University of Queensland
Michael C. Ferris
Michael C. Ferris University of Wisconsin–Madison
Dominic P. Kwiatkowski
Dominic P. Kwiatkowski University of Oxford
Ian H. Sloan
Ian H. Sloan University of New South Wales

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