David J. Silvester

6.1k total citations · 2 hit papers
100 papers, 4.0k citations indexed

About

David J. Silvester is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Numerical Analysis. According to data from OpenAlex, David J. Silvester has authored 100 papers receiving a total of 4.0k indexed citations (citations by other indexed papers that have themselves been cited), including 59 papers in Computational Mechanics, 25 papers in Computational Theory and Mathematics and 20 papers in Numerical Analysis. Recurrent topics in David J. Silvester's work include Advanced Numerical Methods in Computational Mathematics (57 papers), Computational Fluid Dynamics and Aerodynamics (23 papers) and Numerical methods for differential equations (19 papers). David J. Silvester is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (57 papers), Computational Fluid Dynamics and Aerodynamics (23 papers) and Numerical methods for differential equations (19 papers). David J. Silvester collaborates with scholars based in United Kingdom, United States and Netherlands. David J. Silvester's co-authors include Howard C. Elman, Andrew J. Wathen, Andy Wathen, Alison Ramage, David Kay, Catherine E. Powell, Bernd Fischer, David F. Griffiths, Alex Bespalov and S.L. Waters and has published in prestigious journals such as Nature, Proceedings of the National Academy of Sciences and Journal of Computational Physics.

In The Last Decade

David J. Silvester

96 papers receiving 3.6k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

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

2005 816 citations Howard C. Elman, David J. Silvester et al. profile →
Finite Elements and Fast Iterative Solvers

2014 252 citations Howard C. Elman, David J. Silvester et al. profile →

Peers

Countries citing papers authored by David J. Silvester

Since Specialization

Citations

This map shows the geographic impact of David J. Silvester's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by David J. Silvester with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites David J. Silvester more than expected).

Fields of papers citing papers by David J. Silvester

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by David J. Silvester. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by David J. Silvester. The network helps show where David J. Silvester may publish in the future.

Co-authorship network of co-authors of David J. Silvester

This figure shows the co-authorship network connecting the top 25 collaborators of David J. Silvester. A scholar is included among the top collaborators of David J. Silvester based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with David J. Silvester. David J. Silvester is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Robin-type domain decomposition with stabilized mixed approximation for incompressible flow 2023 ·Computers & Mathematics with Applications ·(unknown), Qifeng Liao, David J. Silvester	0
2	IFISS3D: A Computational Laboratory for Investigating Finite Element Approximation in Three Dimensions 2023 ·ACM Transactions on Mathematical Software ·(unknown), Catherine E. Powell, David J. Silvester	2
3	Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation 2023 ·SIAM Journal on Scientific Computing ·Alex Bespalov, David J. Silvester	3
4	Robust a posteriori error estimation for parameter-dependent linear elasticity equations 2020 ·Mathematics of Computation ·(unknown), Alex Bespalov, Catherine E. Powell, David J. Silvester	1
5	Robust preconditioning for stochastic Galerkin formulations of parameter-dependent linear elasticity equations 2018 ·arXiv (Cornell University) ·(unknown), Catherine E. Powell, David J. Silvester	1
6	Refined saddle-point preconditioners for discretized Stokes problems 2017 ·Numerische Mathematik ·John W. Pearson, Jennifer Pestana, David J. Silvester	9
7	Robust stabilized Stokes approximation methods for highly stretched grids 2012 ·IMA Journal of Numerical Analysis ·Qinzhuo Liao, David J. Silvester	7
8	A Priori Error Analysis of Stochastic Galerkin Mixed Approximations of Elliptic PDEs with Random Data 2012 ·SIAM Journal on Numerical Analysis ·Alex Bespalov, Catherine E. Powell, David J. Silvester	16
9	Preconditioning Steady-State Navier--Stokes Equations with Random Data 2012 ·SIAM Journal on Scientific Computing ·Catherine E. Powell, David J. Silvester	22
10	Adaptive Time-Stepping for Incompressible Flow Part II: Navier–Stokes Equations 2010 ·SIAM Journal on Scientific Computing ·David Kay, Philip Gresho, David F. Griffiths, David J. Silvester	49
11	Black-box Preconditioning for Self-Adjoint Elliptic PDEs 2003 ·Clinical Orthopaedics and Related Research ·Catherine E. Powell, David J. Silvester	1
12	Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations 2002 ·Numerische Mathematik ·Howard C. Elman, David J. Silvester, Andrew J. Wathen	163
13	Efficient preconditioning of the linearized Navier–Stokes equations for incompressible flow 2001 ·Journal of Computational and Applied Mathematics ·David J. Silvester, Howard C. Elman, David Kay, Andrew J. Wathen	145
14	The Convergence Of Iterative Solution Methods For Symmetric And Indefinite Linear Systems 1997 ·Oxford University Research Archive (ORA) (University of Oxford) ·Andy Wathen, Bernd Fischer, David J. Silvester	1
15	Analysis of locally stabilized mixed finite element methods for the Stokes problem 1992 ·Mathematics of Computation ·(unknown), David J. Silvester	114
16	Labelled agents for PET studies of the dopaminergic system—some quality assurance methods, experience and issues 1990 ·International Journal of Radiation Applications and Instrumentation Part A Applied Radiation and Isotopes ·Victor W. Pike, M.J. Kensett, David R. Turton, S.L. Waters, David J. Silvester	11
17	The specification and numerical solution of a benchmark swirling laminar flow problem 1984 ·Computers & Fluids ·David J. Silvester, R. W. Thatcher, Jennifer Duthie	12
18	PAC studies of 111In binding to transferrin, tropolone and acetylacetone in aqueous solutions 1984 ·The International Journal of Applied Radiation and Isotopes ·F.A. Smith, David J. Lurie, F. Brady, H.J. Danpure, M.J. Kensett, S. Osman, David J. Silvester, S.L. Waters	9
19	Quantities and units used in the production of radionuclides by charged particle bombardment 1971 ·The International Journal of Applied Radiation and Isotopes ·Karel Svoboda, David J. Silvester	2
20	USING CYCLOTRON-PRODUCED ISOTOPES AT HAMMERSMITH HOSPITAL. 1967 ·OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) ·J. C. Clark, C. M. E. Matthews, David J. Silvester, (unknown)	6

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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