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 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 1,171 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) all top 5 Cited in 31 Fields 439 Numerical analysis (65-XX) 202 Fluid mechanics (76-XX) 129 Partial differential equations (35-XX) 104 Mechanics of deformable solids (74-XX) 47 Optics, electromagnetic theory (78-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 25 Geophysics (86-XX) 24 Operations research, mathematical programming (90-XX) 21 Biology and other natural sciences (92-XX) 18 Computer science (68-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Classical thermodynamics, heat transfer (80-XX) 9 Combinatorics (05-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Systems theory; control (93-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 Integral equations (45-XX) 2 Quantum theory (81-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 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year