Institution · Numerical Algorithms Group (United Kingdom)
Most cited papers from Numerical Algorithms Group (United Kingdom)
What are the most cited papers from Numerical Algorithms Group (United Kingdom)?
The most cited paper from Numerical Algorithms Group (United Kingdom) is "A set of level 3 basic linear algebra subprograms" (Jack J. Dongarra, Jeremy Du Croz, Sven J. Hammarling et al., 1990), with 1,843 citations. Next come "An extended set of FORTRAN basic linear algebra subprograms" (900) and "Optimum Aerodynamic Design Using the Navier-Stokes Equations" (585).
Showing 50 of 59 papers. Every paper with more than 67 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | A set of level 3 basic linear algebra subprograms Jack J. Dongarra, Jeremy Du Croz, Sven J. Hammarling et al. · ACM Transactions on Mathematical Software | Mar 1990 | 1,843 |
| 2 | An extended set of FORTRAN basic linear algebra subprograms Jack J. Dongarra, Jeremy Du Croz, Sven J. Hammarling et al. · ACM Transactions on Mathematical Software | Mar 1988 | 900 |
| 3 | Optimum Aerodynamic Design Using the Navier-Stokes Equations A. Jameson, L. Martinelli, Niles A. Pierce · Theoretical and Computational Fluid Dynamics | 1998 | 585 |
| 4 | Numerical recipes: The art of scientific computing Peter Frolkovič · Acta Applicandae Mathematicae | Jun 1990 | 568 |
| 5 | STIR: software for tomographic image reconstruction release 2 Kris Thielemans, Charalampos Tsoumpas, Sanida Mustafovic et al. · Physics in Medicine and Biology | 31 Jan 2012 | 477 |
| 6 | LAPACK: A Portable Linear Algebra Library for High-Performance Computers E. Anderson, Zhong‐Zhi Bai, Christian H Bischof et al. | 1990 | 416 |
| 7 | Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results Coralia Cartis, Nicholas I. M. Gould, Philippe L. Toint · Mathematical Programming | 18 May 2009 | 349 |
| 8 | PaRSEC: Exploiting Heterogeneity to Enhance Scalability George Bosilca, Aurélien Bouteiller, Anthony Danalis et al. · Computing in Science & Engineering | Nov 2013 | 325 |
| 9 | Remote sensing of shallow waters – A 50 year retrospective and future directions Tiit Kutser, John D. Hedley, Claudia Giardino et al. · Remote Sensing of Environment | 13 Feb 2020 | 318 |
| 10 | On the Theories of Triangular Sets Philippe Aubry, Daniel Lazard, Marc Moreno Maza · Journal of Symbolic Computation | Jul 1999 | 283 |
| 11 | Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity Coralia Cartis, Nicholas I. M. Gould, Philippe L. Toint · Mathematical Programming | 9 Jan 2010 | 280 |
| 12 | Growth and collapse of cavitation bubbles near a curved rigid boundary Yukio TOMITA, P. B. Robinson, Ruize Tong et al. · Journal of Fluid Mechanics | 10 Sep 2002 | 253 |
| 13 | Algorithm 679: A set of level 3 basic linear algebra subprograms: model implementation and test programs Jack J. Dongarra, Jermey Du Cruz, Sven J. Hammarling et al. · ACM Transactions on Mathematical Software | Mar 1990 | 224 |
| 14 | Incompact3d: A powerful tool to tackle turbulence problems with up to O (10 5 ) computational cores Sylvain Laizet, Ning Li · International Journal for Numerical Methods in Fluids | 29 Nov 2010 | 219 |
| 15 | MUMPS: A General Purpose Distributed Memory Sparse Solver Patrick Amestoy, Iain Duff, Jean-Yves L’Excellent et al. · Lecture notes in computer science | 2001 | 214 |
| 16 | Lightning locating systems: Insights on characteristics and validation techniques Amitabh Nag, Martin J. Murphy, Wolfgang Schulz et al. · Earth and Space Science | 14 Feb 2015 | 211 |
| 17 | A new approximation of the Schur complement in preconditioners for PDE‐constrained optimization John W. Pearson, Andrew J. Wathen · Numerical Linear Algebra with Applications | 18 Oct 2011 | 210 |
| 18 | Non-uniform recursive subdivision surfaces Thomas W. Sederberg, Jianmin Zheng, David L. Sewell et al. | 1998 | 203 |
| 19 | Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations Endre S�li · Numerische Mathematik | Jul 1988 | 203 |
| 20 | LAPACK: A portable linear algebra library for high-performance computers E. Angerson, D. C. Sorensen, Zhong‐Zhi Bai et al. | 1990 | 199 |
| 21 | Stability analysis of numerical interface conditions in fluid-structure thermal analysis Michael B. Giles · International Journal for Numerical Methods in Fluids | 30 Aug 1997 | 199 |
| 22 | Algorithm 656: an extended set of basic linear algebra subprograms: model implementation and test programs Jack J. Dongarra, Jeremy Du Croz, Sven J. Hammarling et al. · ACM Transactions on Mathematical Software | Mar 1988 | 187 |
| 23 | An interpolating 4-point C2 ternary stationary subdivision scheme Mohamed Fahim Hassan, I.P. Ivrissimitzis, Neil A. Dodgson et al. · Computer Aided Geometric Design | 2002 | 180 |
| 24 | Oral morphine in cancer pain: influences on morphine and metabolite concentration Henry J McQuay, Dawn M. Carroll, Clara C. Faura et al. · Clinical Pharmacology & Therapeutics | Sep 1990 | 166 |
| 25 | Accurate Singular Values and Differential QD Algorithms K.V. Fernando, Beresford N. Parlett | 1993 | 165 |
| 26 | Block reduction of matrices to condensed forms for eigenvalue computations Jack J. Dongarra, Danny C. Sorensen, Sven J. Hammarling · Journal of Computational and Applied Mathematics | Sep 1989 | 152 |
| 27 | A Schur method for the square root of a matrix Åke Björck, Sven J. Hammarling · Linear Algebra and its Applications | Jul 1983 | 149 |
| 28 | Some effective methods for unconstrained optimization based on the solution of systems of ordinary differential equations Alvin Brown, M. C. Bartholomew‐Biggs · Journal of Optimization Theory and Applications | 1989 | 141 |
| 29 | Stability of the Lagrange-Galerkin method with non-exact integration K. W. Morton, A. Priestley, ENDRE E. SÜLI · ESAIM Mathematical Modelling and Numerical Analysis | 1988 | 140 |
| 30 | UManSysProp v1.0: an online and open-source facility for molecular property prediction and atmospheric aerosol calculations David O. Topping, Mark H. Barley, Michael Bane et al. · Geoscientific model development | Mar 2016 | 139 |
| 31 | Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems John W. Pearson, Martin Stoll, Andrew J. Wathen · SIAM Journal on Matrix Analysis and Applications | 2012 | 135 |
| 32 | Distributed and Collaborative Visualization Ken Brodlie, David A. Duce, Julian R. Gallop et al. · Computer Graphics Forum | Jun 2004 | 127 |
| 33 | Convergence analysis of Crank–Nicolson and Rannacher time-marching Michael B. Giles, Rebecca Carter · The Journal of Computational Finance | 2006 | 124 |
| 34 | A moving grid finite element method applied to a model biological pattern generator Anotida Madzvamuse, Andrew J. Wathen, Philip K. Maini · Journal of Computational Physics | 22 Jul 2003 | 121 |
| 35 | An analytical model for azimuthal thermoacoustic modes in an annular chamber fed by an annular plenum Michaël Bauerheim, Jean‐François Parmentier, Pablo Salas et al. · Combustion and Flame | 24 Dec 2013 | 113 |
| 36 | Ant colony optimization for the examination scheduling problem K A Dowsland, Jonathan M. Thompson · Journal of the Operational Research Society | 10 Nov 2004 | 109 |
| 37 | Remote Sensing of Coral Bleaching Using Temperature and Light: Progress towards an Operational Algorithm William Skirving, Susana Enríquez, John D. Hedley et al. · Remote Sensing | 22 Dec 2017 | 106 |
| 38 | QR Factorization on a Multicore Node Enhanced with Multiple GPU Accelerators Emmanuel Agullo, Cédric Augonnet, Jack J. Dongarra et al. | May 2011 | 101 |
| 39 | An algorithm for the complete solution of quadratic eigenvalue problems Sven J. Hammarling, Christopher Munro, Françoise Tisseur · ACM Transactions on Mathematical Software | Apr 2013 | 101 |
| 40 | Ten simple rules for measuring the impact of workshops Shoaib Sufi, Aleksandra Nenadić, Raniere Silva et al. · PLoS Computational Biology | 30 Aug 2018 | 99 |
| 41 | Euro-Par 2011 Parallel Processing Emmanuel Jeannot, Raymond Namyst, Jean Roman · Lecture notes in computer science | 2011 | 99 |
| 42 | Reliable solution of special event location problems for ODEs Lawrence F. Shampine, Ian Gladwell, R. W. Brankin · ACM Transactions on Mathematical Software | Mar 1991 | 95 |
| 43 | Ultrasonic cavitation near a tissue layer G. A. Curtiss, David M. Leppinen, Qianxi Wang et al. · Journal of Fluid Mechanics | 30 Jul 2013 | 90 |
| 44 | Stability of Methods for Matrix Inversion J. J. Du Croz, Nicholas John Higham · IMA Journal of Numerical Analysis | 1992 | 80 |
| 45 | The magnetic structures of the rare-earth manganates ErMn2O5and TbMn2O5 P P Gardner, C. Wilkinson, J. Bruce Forsyth et al. · Journal of Physics C Solid State Physics | 30 Nov 1988 | 80 |
| 46 | Computation of deterministic volatility surfaces N Jackson, ENDRE E. SÜLI, Sam Howison · The Journal of Computational Finance | 1998 | 80 |
| 47 | Achieving High Performance on Supercomputers with a Sequential Task-based Programming Model Emmanuel Agullo, Olivier Aumage, Mathieu Faverge et al. · IEEE Transactions on Parallel and Distributed Systems | 19 Dec 2017 | 78 |
| 48 | On solving trust-region and other regularised subproblems in optimization Nicholas I. M. Gould, Daniel P. Robinson, HS Thorne · Mathematical Programming Computation | 9 Feb 2010 | 78 |
| 49 | Visualization in grid computing environments Ken Brodlie, J. Duce, Julian R. Gallop et al. | 21 Mar 2005 | 77 |
| 50 | All-at-once solution of time-dependent Stokes control Martin Stoll, Andy Wathen · Journal of Computational Physics | 6 Sep 2012 | 77 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for an institution when any of its authors gave it as an affiliation; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.