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; FEniCS; Gmsh; PARDISO; METIS; LAPACK; UMFPACK; SuperLU; ARPACK; hypre; SLEPc; SparseMatrix; FreeFem++; Firedrake; Trilinos; SuperLU-DIST; ScaLAPACK; HSL; CSparse; deal.ii Cited in: 672 Documents Further Publications: https://mumps-solver.org/index.php?page=doc Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year A fully asynchronous multifrontal solver using distributed dynamic scheduling. Zbl 0992.65018Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Koster, Jacko 2001 Multifrontal parallel distributed symmetric and unsymmetric solvers. Zbl 0956.65017Amestoy, P. R.; Duff, I. S.; L’Excellent, J.-Y. 2000 all top 5 Cited by 1,325 Authors 19 Giani, Stefano 17 Allendes, Alejandro 16 Amestoy, Patrick R. 16 Calo, Victor Manuel 16 Otárola, Enrique 16 Paszyński, Maciej 15 Farrell, Patrick E. 15 Pardo, David 14 L’Excellent, Jean-Yves 13 Zampini, Stefano 12 Demkowicz, Leszek 10 Buttari, Alfredo 10 Houston, Paul 10 Scacchi, Simone 10 Scott, Jennifer 10 Sipp, Denis 9 Bangerth, Wolfgang 9 Deluzet, Fabrice 9 Duff, Iain S. 9 Lanteri, Stéphane 9 Mary, Theo A. 9 Ruiz-Baier, Ricardo 8 Gatica, Gabriel N. 8 Heister, Timo 8 Heltai, Luca 8 Kronbichler, Martin 8 Maier, Matthias Sebastian 8 Pelteret, Jean-Paul 8 Turcksin, Bruno 7 Arndt, Daniel 7 Dalcín, Lisandro D. 7 Jolivet, Pierre 7 Manguoglu, Murat 7 Rankin, Richard 6 Glockner, Stéphane 6 Kahle, Christian 6 Kaltenbach, Alex 6 Marquet, Olivier 6 Román, Jose E. 6 Šístek, Jakub 6 Torres-Verdín, Carlos 6 Tournier, Pierre-Henri 6 Widlund, Olof B. 5 Dolean, Victorita 5 Fehling, Marc 5 Fuica, Francisco 5 Giraud, Luc 5 Leng, Wei 5 Narski, Jacek 5 Nordsletten, David A. 5 Oyarzúa, Ricardo 5 Pavarino, Luca Franco 5 Rheinbach, Oliver 5 Rouet, François-Henry 5 Salgado, Abner J. 5 Silva, Emílio Carlos Nelli 5 Ying, Lexing 5 Zepeda-Núñez, Leonardo 4 Ausas, Roberto Federico 4 Barrenechea, Gabriel R. 4 Bollhöfer, Matthias 4 Brossier, Romain 4 Campos, Carmen 4 Collier, Nathan 4 Dassi, Franco 4 Davydov, Denis 4 El Kacimi, Abdellah 4 Garnier, Eric 4 Geuzaine, Christophe A. 4 Gleixner, Ambros M. 4 Grubišić, Luka 4 Hakula, Harri 4 Ju, Lili 4 Klawonn, Axel 4 Laghrouche, Omar 4 MacLachlan, Scott P. 4 Mandel, Jan 4 Medale, Marc 4 Métivier, Ludovic 4 Müller, Benjamin 4 Munch, Peter 4 Nataf, Frédéric 4 Negulescu, Claudia 4 Nobile, Fabio 4 Papadopoulos, Ioannis P. A. 4 Petrides, Socratis 4 Quero, Daniel 4 Rachowicz, Waldemar 4 Rhebergen, Sander 4 Růžička, Michael 4 Sousedík, Bedřich 4 Treister, Eran 3 Agullo, Emmanuel 3 Akay, Hasan U. 3 Almonacid, Javier A. 3 Anaya, Verónica 3 Aykanat, Cevdet 3 Baiges, Joan 3 Barucq, Hélène 3 Berger-Vergiat, Luc ...and 1,225 more Authors all top 5 Cited in 110 Serials 91 Journal of Computational Physics 80 Computer Methods in Applied Mechanics and Engineering 68 SIAM Journal on Scientific Computing 41 Computers & Mathematics with Applications 32 Journal of Fluid Mechanics 21 ACM Transactions on Mathematical Software 20 Computers and Fluids 20 International Journal for Numerical Methods in Engineering 19 Journal of Computational and Applied Mathematics 15 Journal of Scientific Computing 12 Computational Mechanics 12 Numerical Linear Algebra with Applications 12 Journal of Numerical Mathematics 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 SIAM Journal on Matrix Analysis and Applications 7 Numerical Algorithms 7 Computational Geosciences 6 Inverse Problems 6 Mathematics of Computation 6 Numerische Mathematik 6 SIAM Journal on Numerical Analysis 6 European Journal of Mechanics. B. Fluids 5 Applied Mathematics and Computation 5 Mathematics and Computers in Simulation 5 Communications in Computational Physics 4 Parallel Computing 4 Applied Numerical Mathematics 4 Applied Mathematical Modelling 4 SIAM Journal on Applied Mathematics 4 Computational Optimization and Applications 3 Computer Physics Communications 3 Optimal Control Applications & Methods 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Non-Newtonian Fluid Mechanics 3 SIAM Review 3 ETNA. Electronic Transactions on Numerical Analysis 3 Advances in Computational Mathematics 3 Multiscale Modeling & Simulation 3 Acta Numerica 2 Journal of the Mechanics and Physics of Solids 2 Calcolo 2 Computing 2 SIAM Journal on Control and Optimization 2 Applied Mathematics Letters 2 Mathematical Programming. Series A. Series B 2 Advances in Engineering Software 2 Engineering Analysis with Boundary Elements 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 Computational Methods in Applied Mathematics 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 of Control 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 International Journal of Foundations of Computer Science 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 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 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 Lobachevskii Journal of Mathematics 1 Matematicheskoe Modelirovanie 1 Journal of Systems Science and Complexity 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 ...and 10 more Serials all top 5 Cited in 35 Fields 503 Numerical analysis (65-XX) 235 Fluid mechanics (76-XX) 153 Partial differential equations (35-XX) 125 Mechanics of deformable solids (74-XX) 56 Optics, electromagnetic theory (78-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 27 Operations research, mathematical programming (90-XX) 26 Geophysics (86-XX) 24 Computer science (68-XX) 21 Biology and other natural sciences (92-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Combinatorics (05-XX) 6 Systems theory; control (93-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year