David Silvester

Q: What Schools Are Affiliated With David Silvester

David Silvester is affiliated with the following schools: University of Manchester Institute of Science and Technology, University of Oxford, University of Manchester

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David Silvester

Mathematics

#4820

World Rank

#6818

Historical Rank

Applied Mathematics

#191

World Rank

#211

Historical Rank

Measure Theory

#3309

World Rank

#3910

Historical Rank

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Mathematics

David Silvester's Degrees

PhD Numerical Analysis University of Oxford
Masters Mathematics University of Oxford
Bachelors Mathematics University of Oxford

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Why Is David Silvester Influential?

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According to Wikipedia, David James Silvester is a British numerical analyst. He has a Chair in Numerical Analysis and is the Head of Applied Mathematics in the Department of Mathematics at the University of Manchester. Silvester was born in Dumfries, but was educated at Ysgol Ardudwy and the University of Manchester Institute of Science and Technology , from which he gained his B.Sc. in Mathematics and Ph.D. in Numerical Analysis . His Ph.D. thesis was supervised by Ronald Thatcher. He was appointed lecturer in Mathematics at UMIST in 1984, and later promoted to Senior Lecturer and Reader. In 2003 he was promoted to a personal Chair of Numerical Analysis. Silvester held visiting positions in the Computer Science Department at Stanford University in 1991 and in 1999, at the University of Maryland , the University of the Littoral Opal Coast , and the University of Heidelberg .

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David Silvester's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics (2014) (839)
Fast iterative solution of stabilised Stokes systems part II: using general block preconditioners (1994) (421)
Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow (2007) (308)
Fast iterative solution of stabilised Stokes systems, part I: using simple diagonal preconditioners (1993) (258)
Fast Nonsymmetric Iterations and Preconditioning for Navier-Stokes Equations (1996) (253)
Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations (2002) (230)
Iterative Methods for Toeplitz Systems (2005) (201)
Minimum residual methods for augmented systems (1998) (192)
ANALYSIS OF LOCALLY STABILIZED MIXED FINITE-ELEMENT METHODS FOR THE STOKES PROBLEM (1992) (153)
Efficient preconditioning of the linearized Navier-Stokes (1999) (118)
Stabilised bilinear—constant velocity—pressure finite elements for the conjugate gradient solution of the Stokes problem (1990) (117)
IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems (2014) (103)
Efficient preconditioning of the linearized NavierStokes equations for incompressible flow (2001) (100)
A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations (1999) (93)
Optimal low order finite element methods for incompressible flow (1994) (88)
Iterative Methods for Problems in Computational Fluid Dynamics (1998) (72)
Efficient Solvers for a Linear Stochastic Galerkin Mixed Formulation of Diffusion Problems with Random Data (2008) (70)
FAST ITERATIVE SOLUTION OF STABILIZED STOKES SYSTEMS .1. USING SIMPLE DIAGONAL PRECONDITIONERS (1993) (67)
Adaptive Time-Stepping for Incompressible Flow Part II: Navier--Stokes Equations (2010) (61)
Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations (2007) (61)
Energy Norm A Posteriori Error Estimation for Parametric Operator Equations (2014) (58)
On parameter choice and iterative convergence for stabilised discretisations of advection-diffusion problems (1999) (58)
The convergence rate of the minimal residual method for the Stokes problem (1995) (55)
Optimal Preconditioning for Raviart-Thomas Mixed Formulation of Second-Order Elliptic Problems (2003) (53)
Stabilised vs. stable mixed methods for incompressible flow (1998) (45)
Adaptive Time-Stepping for Incompressible Flow Part I: Scalar Advection-Diffusion (2008) (44)
An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations (2017) (40)
Efficient Adaptive Stochastic Galerkin Methods for Parametric Operator Equations (2016) (37)
An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation (2010) (36)
Fast iterative solvers for buoyancy driven flow problems (2011) (33)
Preconditioning Steady-State Navier-Stokes Equations with Random Data (2012) (33)
A Black-Box Multigrid Preconditioner for the Biharmonic Equation (2004) (32)
The convergence of iterative solution methods for symmetric and indefinite linear systems (1997) (30)
Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations (1997) (29)
A comparison of coupled and segregated iterative solution techniques for incompressible swirling flow (1996) (28)
The reliability of local error estimators for convection–diffusion equations (2001) (26)
A Priori Error Analysis of Stochastic Galerkin Mixed Approximations of Elliptic PDEs with Random Data (2012) (25)
Block preconditioners for the discrete incompressible Navier–Stokes equations (2002) (24)
ITERATIVE METHODS FOR STABILIZED MIXED VELOCITY PRESSURE FINITE-ELEMENTS (1992) (23)
Efficient parallel solvers for the biharmonic equation (2004) (18)
Refined saddle-point preconditioners for discretized Stokes problems (2017) (16)
Efficient solution of the steady‐state Navier–Stokes equations using a multigrid preconditioned Newton–Krylov method (2003) (14)
Separation of Variables (2015) (14)
T-IFISS: a toolbox for adaptive FEM computation (2019) (13)
Fast solvers for discretized Navier-Stokes problems using vector extrapolation (2014) (13)
Fourier Analysis of Stabilized Q1 -Q1 Mixed Finite Element Approximation (2001) (12)
The specification and numerical solution of a benchmark swirling laminar flow problem (1984) (12)
Robust a posteriori error estimators for mixed approximation of nearly incompressible elasticity (2017) (11)
Diagonal Dominance and Positive Definiteness of Upwind Approximations for Advection Diffusion Problems (1996) (11)
An Optimal Solver for Linear Systems Arising from Stochastic FEM Approximation of Diffusion Equations with Random Coefficients (2016) (11)
Essential Partial Differential Equations - Analytical and Computational Aspects (2015) (11)
A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data (2019) (10)
Robust stabilized Stokes approximation methods for highly stretched grids (2013) (10)
Efficient Preconditioning Of The Linearized Navier-Stokes Equations (1999) (10)
Black-Box Preconditioning for Mixed Formulation of Self-Adjoint Elliptic PDEs (2003) (10)
Robust Preconditioning for Stochastic Galerkin Formulations of Parameter-Dependent Nearly Incompressible Elasticity Equations (2018) (9)
Optimising finite element matrix calculations using the general technique of element vectorisation (1988) (9)
Robust a posteriori error estimation for stochastic Galerkin formulations of parameter-dependent linear elasticity equations (2018) (9)
A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations (2012) (9)
A new preconditioner for the Oseen equations (2003) (7)
PIFISS Potential (Incompressible) Flow & Iterative Solution Software guide (2007) (7)
Unstructured finite element method for the solution of the Boussinesq problem in three dimensions (2013) (6)
Unstable modes of the Q1-P0 element (2011) (6)
THE EFFECT OF THE STABILITY OF MIXED FINITE-ELEMENT APPROXIMATIONS ON THE ACCURACY AND RATE OF CONVERGENCE OF SOLUTION WHEN SOLVING INCOMPRESSIBLE-FLOW PROBLEMS (1986) (6)
Umist Eecient Preconditioning of the Linearized Navier-stokes Equations Departments of Mathematics Efficient Preconditioning of the Linearized Navier-stokes Equations (1999) (6)
The Method of Characteristics (2015) (5)
Collocation Methods for Exploring Perturbations in Linear Stability Analysis (2017) (4)
Robust a posteriori error estimation for mixed finite element approximation of linear poroelasticity (2020) (3)
Robust error estimation for lowest-order approximation of nearly incompressible elasticity (2018) (3)
A framework for the development of implicit solvers for incompressible flow problems (2012) (3)
Error estimation and adaptivity for stochastic collocation finite elements Part I: single-level approximation (2021) (2)
Robust preconditioning for stochastic Galerkin formulations of parameter-dependent linear elasticity equations (2018) (2)
Karhunen-Loève Approximation of Random Fields Using Hierarchical Matrix Techniques (2007) (2)
A mixed finite element method with new boundary condition (2)
A truncated ILU smoother for multigridpreconditioning of convection dominated flow problems (2011) (2)
A locally mass conserving quadratic velocity, linear pressure element (2020) (2)
Preconditioning Techniques for the Numerical Solution of the Stokes Problem (1991) (2)
Special Section: 2010 Copper Mountain Conference (2011) (1)
The Poisson Equation (2014) (1)
Error estimation and adaptivity for stochastic collocation finite elements Part II: multilevel approximation (2022) (1)
Implicit solvers using stabilized mixed approximation (2013) (1)
Balanced Iterative Solvers for Linear Nonsymmetric Systems and Nonlinear Systems with PDE Origins: Efficient Black-Box Stopping Criteria (2019) (1)
Unstable modes of the Q 1P 0 element (2017) (1)
Robust a posteriori error estimation for parameter-dependent linear elasticity equations (2020) (1)
IFISS3D: A computational laboratory for investigating finite element approximation in three dimensions (2022) (1)
Classification of PDEs (2015) (1)
Solution of Unsteady Navier–Stokes equations (2014) (0)
Finite Difference Methods for Parabolic PDEs (2015) (0)
Question of the month. 81Krm; ventilation imaging. (1994) (0)
Models of Incompressible Fluid Flow (2014) (0)
The Origin of PDEs (2015) (0)
Nonlinear phenomena, optical and quantum solitons (2011) (0)
Solution Strategies for Stochastic Finite Element Discretizations (2008) (0)
Boundary and Initial Data (2015) (0)
Fast solvers for discretized Navier-Stokes problems using vector extrapolation (2013) (0)
Unstructured finite element method for the solution of theBoussinesq problem in 3D (2012) (0)
Optimal iterative solvers for linear nonsymmetric systems and nonlinear systems with PDE origins: Balanced black-box stopping tests (2018) (0)
Fast non-symmetric iterations and efficient preconditioning for Navier-Stokes equations (1994) (0)
Maximum Principles and Energy Methods (2015) (0)
A Posteriori Error Estimates for the Stokes Problem, Siam Analysis of Locally Stabilised Mixed Nite Element Methods For (1997) (0)
Boundary Value Problems in \mathbb {R}^1 (2015) (0)
Fast Implicit Solvers using Stabilized Mixed Approximation (2017) (0)
The Spectator, April 1994 (periodical) (1994) (0)
Umist Fourier Analysis of Stabilised Q 1 {q 1 Mixed Finite Element Approximation Departments of Mathematics Fourier Analysis of Stabilised Q 1 {q 1 Mixed Finite Element Approximation (2007) (0)
Efficient Adaptive Stochastic Collocation Strategies for Advection-Diffusion Problems with Uncertain Inputs (2022) (0)
University of Birmingham T-IFISS (2020) (0)
The Navier–Stokes Equations (2014) (0)
A study of flow through a vortex amplifier at low Reynolds number using the finite element method (1988) (0)
Black-box Preconditioning for Self-Adjoint Elliptic PDEs (2003) (0)
Solution of Discrete Stokes Problems (2014) (0)
Solution of Models of Buoyancy-Driven Flow (2014) (0)
Finite Difference Methods for Elliptic PDEs (2015) (0)
An optimal iterative solver for the Stokes problem (1994) (0)
Finite Difference Methods for Hyperbolic PDEs (2015) (0)
Refined saddle-point preconditioners for discretized Stokes problems (2017) (0)
Fast solution of incompressible flow problems with two-level pressure approximation (2023) (0)
Finite Difference Methods in \mathbb {R}^1 (2015) (0)
Optimization with PDE Constraints (2014) (0)
Saddle-Point Preconditioners Based on Commutators. (2008) (0)
Erratum to “Robust stabilized Stokes approximation methods for highly stretched grids” (2016) (0)
Book Review: Numerical analysis, an introduction@@@Book Review: Afternotes goes to graduate school, lectures in advanced numerical analysis@@@Book Review: Iterative methods for solving linear systems (1999) (0)
Unstable Modes of the Q 1 {p 0 Element Department of Mathematics Unstable Modes of the Q 1 {p 0 Element (1994) (0)
An optimal iterative solver for linear systems arising from SFEM approximation of diffusion equations with random coefficients (2015) (0)
Fast Iterative Solution of Models of Incompressible Flow (2007) (0)
History of the valve (2007) (0)
Unstable Modes of the Q 1 {p 0 Element Department of Mathematics Unstable Modes of the Q 1 {p 0 Element (1994) (0)
The Spectator, May 1994 (periodical) (1994) (0)
Solution of Discrete Navier–Stokes Problems (2014) (0)

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What Schools Are Affiliated With David Silvester?

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David Silvester's Academic­Influence.com Rankings

David Silvester's Degrees

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Why Is David Silvester Influential?

David Silvester's Published Works

Published Works

Other Resources About David Silvester

What Schools Are Affiliated With David Silvester?

David Silvester's AcademicInfluence.com Rankings