×

MUMPS

swMATH ID: 4013
Software Authors: Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Koster, Jacko
Description: Solution of large linear systems with symmetric positive definite matrices; general symmetric matrices; general unsymmetric matrices; Version for complex arithmetic; Parallel factorization and solve phases (uniprocessor version also available); Iterative refinement and backward error analysis; Various matrix input formats assembled format; distributed assembled format; elemental format; Partial factorization and Schur complement matrix (centralized or 2D block-cyclic); Interfaces to MUMPS: Fortran, C, Matlab and Scilab; Several orderings interfaced: AMD, AMF, PORD, METIS, PARMETIS, SCOTCH, PT-SCOTCH.
Homepage: https://mumps-solver.org/index.php
Related Software: PETSc; PARDISO; METIS; LAPACK; FEniCS; Gmsh; UMFPACK; ARPACK; SuperLU; SLEPc; SparseMatrix; hypre; FreeFem++; Trilinos; ScaLAPACK; SuperLU-DIST; Firedrake; deal.ii; CSparse; HSL
Cited in: 584 Documents
Further Publications: https://mumps-solver.org/index.php?page=doc
all top 5

Cited by 1,171 Authors

17 Giani, Stefano
16 Calo, Victor Manuel
15 Allendes, Alejandro
15 Pardo, David
15 Paszyński, Maciej
14 Otárola, Enrique
13 Amestoy, Patrick R.
11 L’Excellent, Jean-Yves
11 Zampini, Stefano
10 Houston, Paul
9 Deluzet, Fabrice
9 Duff, Iain S.
9 Lanteri, Stéphane
9 Sipp, Denis
8 Bangerth, Wolfgang
8 Demkowicz, Leszek F.
8 Scacchi, Simone
7 Dalcín, Lisandro D.
7 Heister, Timo
7 Heltai, Luca
7 Jolivet, Pierre
7 Kronbichler, Martin
7 Maier, Matthias Sebastian
7 Manguoglu, Murat
7 Pelteret, Jean-Paul
7 Rankin, Richard
7 Scott, Jennifer A.
7 Turcksin, Bruno
6 Arndt, Daniel
6 Buttari, Alfredo
6 Glockner, Stéphane
6 Kahle, Christian
6 Marquet, Olivier
6 Šístek, Jakub
6 Torres-Verdín, Carlos
6 Widlund, Olof B.
5 Dolean, Victorita
5 Fuica, Francisco
5 Giraud, Luc
5 Leng, Wei
5 Mary, Theo A.
5 Narski, Jacek
5 Nordsletten, David A.
5 Oyarzúa, Ricardo
5 Pavarino, Luca Franco
5 Rheinbach, Oliver
5 Román, Jose E.
5 Rouet, François-Henry
5 Ruiz-Baier, Ricardo
5 Salgado, Abner J.
5 Tournier, Pierre-Henri
5 Ying, Lexing
5 Zepeda-Núñez, Leonardo
4 Ausas, Roberto Federico
4 Bollhöfer, Matthias
4 Brossier, Romain
4 Campos, Carmen
4 Collier, Nathan
4 Davydov, Denis
4 Fehling, Marc
4 Gatica, Gabriel N.
4 Geuzaine, Christophe A.
4 Gleixner, Ambros M.
4 Ju, Lili
4 Klawonn, Axel
4 MacLachlan, Scott P.
4 Mandel, Jan
4 Medale, Marc
4 Métivier, Ludovic
4 Müller, Benjamin
4 Negulescu, Claudia
4 Quero, Daniel
4 Sousedík, Bedřich
3 Agullo, Emmanuel
3 Akay, Hasan U.
3 Almonacid, Javier A.
3 Aykanat, Cevdet
3 Baiges, Joan
3 Barrenechea, Gabriel R.
3 Barucq, Hélène
3 Berger-Vergiat, Luc
3 Bériot, Hadrien
3 Bonazzoli, Marcella
3 Buscaglia, Gustavo Carlos
3 Cliffe, K. Andrew
3 Codina, Ramon
3 Cui, Tao
3 Dassi, Franco
3 de Hoop, Maarten V.
3 Degond, Pierre
3 Demanet, Laurent
3 Duck, Peter W.
3 El Maliki, Abderrahman
3 Farhat, Charbel H.
3 Farrell, Patrick E.
3 Faucher, Florian
3 Feldman, Yuri
3 Fortin, Michel
3 Gabard, Gwénaël
3 Garnier, Eric
...and 1,071 more Authors
all top 5

Cited in 100 Serials

83 Journal of Computational Physics
72 Computer Methods in Applied Mechanics and Engineering
59 SIAM Journal on Scientific Computing
35 Computers & Mathematics with Applications
30 Journal of Fluid Mechanics
18 ACM Transactions on Mathematical Software
17 International Journal for Numerical Methods in Engineering
17 Journal of Computational and Applied Mathematics
16 Computers and Fluids
12 Computational Mechanics
10 Journal of Scientific Computing
9 Numerical Linear Algebra with Applications
9 Journal of Numerical Mathematics
7 Computational Geosciences
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Inverse Problems
6 Mathematics of Computation
6 Numerische Mathematik
6 SIAM Journal on Matrix Analysis and Applications
6 Numerical Algorithms
6 European Journal of Mechanics. B. Fluids
5 Communications in Computational Physics
4 Applied Mathematics and Computation
4 Parallel Computing
4 Computational Optimization and Applications
3 Computer Physics Communications
3 Mathematics and Computers in Simulation
3 Applied Numerical Mathematics
3 Journal of Non-Newtonian Fluid Mechanics
3 SIAM Journal on Applied Mathematics
3 SIAM Review
3 Advances in Computational Mathematics
3 Acta Numerica
2 Journal of the Mechanics and Physics of Solids
2 Calcolo
2 Computing
2 SIAM Journal on Control and Optimization
2 SIAM Journal on Numerical Analysis
2 Optimal Control Applications & Methods
2 Applied Mathematics Letters
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Applied Mathematical Modelling
2 Mathematical Programming. Series A. Series B
2 Advances in Engineering Software
2 ETNA. Electronic Transactions on Numerical Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Optimization Methods & Software
2 European Journal of Mechanics. A. Solids
2 Archives of Computational Methods in Engineering
2 Multiscale Modeling & Simulation
2 International Journal of Numerical Analysis and Modeling
2 Mathematical Programming Computation
2 Journal of Theoretical Biology
2 SIAM/ASA Journal on Uncertainty Quantification
1 International Journal for Numerical Methods in Fluids
1 International Journal of Solids and Structures
1 Journal of Engineering Mathematics
1 Applied Mathematics and Optimization
1 BIT
1 Meccanica
1 Acta Applicandae Mathematicae
1 Numerical Methods for Partial Differential Equations
1 Journal of Parallel and Distributed Computing
1 European Journal of Applied Mathematics
1 Annals of Operations Research
1 The Annals of Applied Probability
1 Computational Mathematics and Mathematical Physics
1 International Journal of Computer Mathematics
1 Journal of Elasticity
1 Applicable Algebra in Engineering, Communication and Computing
1 SIAM Journal on Optimization
1 Mathematica Montisnigri
1 NoDEA. Nonlinear Differential Equations and Applications
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Engineering Analysis with Boundary Elements
1 International Journal of Computational Fluid Dynamics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 International Journal of Numerical Modelling
1 Journal of Mathematical Fluid Mechanics
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Applied Mathematics and Computer Science
1 Journal of High Energy Physics
1 Optimization and Engineering
1 Matematicheskoe Modelirovanie
1 Computational Methods in Applied Mathematics
1 Structural and Multidisciplinary Optimization
1 Communications in Mathematical Sciences
1 Computational Management Science
1 GAMM-Mitteilungen
1 Networks and Heterogeneous Media
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Discrete and Continuous Dynamical Systems. Series S
1 Algorithms
1 International Journal for Numerical Methods in Biomedical Engineering
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 Journal of Mathematics in Industry
1 S\(\vec{\text{e}}\)MA Journal
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Research in the Mathematical Sciences
1 Advances in Applied Mathematics (Boca Raton)

Citations by Year