Optimising finite element matrix calculations using the general technique of element vectorisation. - David J. Silvester (Parallel Comput., 1988)

Fast Nonsymmetric Iterations and Preconditioning for Navier-Stokes Equations. - Howard C. Elman; David J. Silvester (SIAM J. Sci. Comput., 1996)

A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations. - David A. Kay; David J. Silvester (SIAM J. Sci. Comput., 1999)

Fourier Analysis of Stabilized Q1 -Q1 Mixed Finite Element Approximation. - Sean Norburn; David J. Silvester (SIAM J. Numer. Anal., 2001)

Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. - Howard C. Elman; David J. Silvester; Andrew J. Wathen (Numerische Mathematik, 2002)

Optimal Preconditioning for Raviart-Thomas Mixed Formulation of Second-Order Elliptic Problems. - Catherine Elizabeth Powell; David J. Silvester (SIAM J. Matrix Anal. Appl., 2003)

Efficient parallel solvers for the biharmonic equation. - Milan D. Mihajlovic; David J. Silvester (Parallel Comput., 2004)

Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations. - Howard C. Elman; Victoria E. Howle; John N. Shadid; David J. Silvester; Ray S. Tuminaro (SIAM J. Sci. Comput., 2007)

Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. - Howard C. Elman; Alison Ramage; David J. Silvester (ACM Trans. Math. Softw., 2007)

Adaptive Time-Stepping for Incompressible Flow Part I: Scalar Advection-Diffusion. - Philip M. Gresho; David F. Griffiths; David J. Silvester (SIAM J. Sci. Comput., 2008)

Efficient Solvers for a Linear Stochastic Galerkin Mixed Formulation of Diffusion Problems with Random Data. - Oliver G. Ernst; Catherine Elizabeth Powell; David J. Silvester; Elisabeth Ullmann (SIAM J. Sci. Comput., 2009)

Adaptive Time-Stepping for Incompressible Flow Part II: Navier–Stokes Equations. - David A. Kay; Philip M. Gresho; David F. Griffiths; David J. Silvester (SIAM J. Sci. Comput., 2010)

Fast iterative solvers for buoyancy driven flow problems. - Howard C. Elman; Milan D. Mihajlovic; David J. Silvester (J. Comput. Phys., 2011)

Special Section: 2010 Copper Mountain Conference. - Ray Tuminaro; Michele Benzi; Xiao-Chuan Cai; Iain Duff; Howard C. Elman; Roland Freund; Kirk E. Jordan; Tim Kelley; David E. Keyes; Misha Elena Kilmer; Sven Leyffer; Tom Manteuffel; et al. (SIAM J. Sci. Comput., 2011)

An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation. - David J. Silvester; Valeria Simoncini (ACM Trans. Math. Softw., 2011)

A Priori Error Analysis of Stochastic Galerkin Mixed Approximations of Elliptic PDEs with Random Data. - Alexei Bespalov; Catherine Elizabeth Powell; David J. Silvester (SIAM J. Numer. Anal., 2012)

Preconditioning Steady-State Navier-Stokes Equations with Random Data. - Catherine Elizabeth Powell; David J. Silvester (SIAM J. Sci. Comput., 2012)

Fast solvers for discretized Navier-Stokes problems using vector extrapolation. - Sébastien Duminil; Hassane Sadok; David J. Silvester (Numer. Algorithms, 2014)

IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems. - Howard C. Elman; Alison Ramage; David J. Silvester (SIAM Rev., 2014)

Energy Norm A Posteriori Error Estimation for Parametric Operator Equations. - Alexei Bespalov; Catherine Elizabeth Powell; David J. Silvester (SIAM J. Sci. Comput., 2014)

An Optimal Solver for Linear Systems Arising from Stochastic FEM Approximation of Diffusion Equations with Random Coefficients. - David J. Silvester; Pranjal (SIAM/ASA J. Uncertain. Quantification, 2016)

Efficient Adaptive Stochastic Galerkin Methods for Parametric Operator Equations. - Alexei Bespalov; David J. Silvester (SIAM J. Sci. Comput., 2016)

An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations. - Catherine Elizabeth Powell; David J. Silvester; Valeria Simoncini (SIAM J. Sci. Comput., 2017)

Refined saddle-point preconditioners for discretized Stokes problems. - John W. Pearson; Jennifer Pestana; David J. Silvester (Numerische Mathematik, 2018)

Collocation Methods for Exploring Perturbations in Linear Stability Analysis. - Howard C. Elman; David J. Silvester (SIAM J. Sci. Comput., 2018)

Balanced Iterative Solvers for Linear Nonsymmetric Systems and Nonlinear Systems with PDE Origins: Efficient Black-Box Stopping Criteria. - Pranjal; David J. Silvester (J. Sci. Comput., 2019)

Robust Preconditioning for Stochastic Galerkin Formulations of Parameter-Dependent Nearly Incompressible Elasticity Equations. - Arbaz Khan; Catherine E. Powell; David J. Silvester (SIAM J. Sci. Comput., 2019)

A locally mass conserving quadratic velocity, linear pressure element. - Ronald W. Thatcher; David J. Silvester (CoRR, 2020)

A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data. - Jens Lang 001; Robert Scheichl; David J. Silvester (J. Comput. Phys., 2020)

T-IFISS: a toolbox for adaptive FEM computation. - Alex Bespalov; Leonardo Rocchi; David J. Silvester (Comput. Math. Appl., 2021)

Robust a posteriori error estimation for parameter-dependent linear elasticity equations. - Arbaz Khan; Alex Bespalov; Catherine E. Powell; David J. Silvester (Math. Comput., 2021)

Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part I: Single-Level Approximation. - Alex Bespalov; David J. Silvester; Feng Xu (SIAM J. Sci. Comput., 2022)

Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation. - Alex Bespalov; David J. Silvester (SIAM J. Sci. Comput., 2023)

Efficient Adaptive Stochastic Collocation Strategies for Advection-Diffusion Problems with Uncertain Inputs. - Benjamin M. Kent; Catherine E. Powell; David J. Silvester; Malgorzata J. Zimon (J. Sci. Comput., 2023)

IFISS3D: A Computational Laboratory for Investigating Finite Element Approximation in Three Dimensions. - Georgios Papanikos; Catherine E. Powell; David J. Silvester (ACM Trans. Math. Softw., 2023)

Robin-type domain decomposition with stabilized mixed approximation for incompressible flow. - Yani Feng; Qifeng Liao; David J. Silvester (Comput. Math. Appl., 2023)

Fast solution of incompressible flow problems with two-level pressure approximation. - Jennifer Pestana; David J. Silvester (Numerische Mathematik, 2024)