## 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: http://mumps.enseeiht.fr/ Related Software: PETSc; PARDISO; METIS; LAPACK; Gmsh; UMFPACK; SuperLU; FEniCS; ARPACK; SparseMatrix; SLEPc; ScaLAPACK; hypre; SuperLU-DIST; Trilinos; FreeFem++; CSparse; HSL; BLAS; Firedrake Cited in: 537 Publications Further Publications: http://mumps.enseeiht.fr/index.php?page=doc
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### Cited by 1,073 Authors

 16 Giani, Stefano 15 Allendes, Alejandro 15 Calo, Victor Manuel 14 Otárola, Enrique 14 Pardo, David 14 Paszyński, Maciej 12 Amestoy, Patrick R. 11 Zampini, Stefano 10 Demkowicz, Leszek F. 10 Houston, Paul 10 L’Excellent, Jean-Yves 9 Duff, Iain S. 8 Deluzet, Fabrice 8 Lanteri, Stéphane 7 Dalcín, Lisandro D. 7 Rankin, Richard 7 Scacchi, Simone 7 Scott, Jennifer A. 6 Bangerth, Wolfgang 6 Buttari, Alfredo 6 Glockner, Stéphane 6 Heister, Timo 6 Heltai, Luca 6 Jolivet, Pierre 6 Kahle, Christian 6 Kronbichler, Martin 6 Maier, Matthias Sebastian 6 Manguoglu, Murat 6 Sipp, Denis 6 Šístek, Jakub 6 Torres-Verdín, Carlos 6 Turcksin, Bruno 6 Widlund, Olof B. 5 Arndt, Daniel 5 Dolean, Victorita 5 Fuica, Francisco 5 Giraud, Luc 5 Leng, Wei 5 Marquet, Olivier 5 Nordsletten, David A. 5 Oyarzúa, Ricardo 5 Pavarino, Luca Franco 5 Pelteret, Jean-Paul 5 Rheinbach, Oliver 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 Collier, Nathan 4 Davydov, Denis 4 Gatica, Gabriel N. 4 Ju, Lili 4 Klawonn, Axel 4 Mandel, Jan 4 Mary, Theo A. 4 Medale, Marc 4 Métivier, Ludovic 4 Narski, Jacek 4 Negulescu, Claudia 4 Quero, Daniel 4 Román, Jose E. 4 Rouet, François-Henry 4 Ruiz-Baier, Ricardo 4 Sousedík, Bedřich 3 Agullo, Emmanuel 3 Akay, Hasan U. 3 Almonacid, Javier A. 3 Baiges, Joan 3 Barrenechea, Gabriel R. 3 Barucq, Hélène 3 Berger-Vergiat, Luc 3 Bonazzoli, Marcella 3 Buscaglia, Gustavo Carlos 3 Campos, Carmen 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 Fehling, Marc 3 Fortin, Michel 3 Gleixner, Ambros M. 3 Graham, Ivan G. 3 Grubišić, Luka 3 Guermouche, Abdou 3 Haber, Eldad 3 Haji-Ali, Abdul-Lateef 3 Hall, Edward J. C. 3 Hecht, Frédéric 3 Heil, Matthias ...and 973 more Authors
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### Cited in 92 Serials

 75 Journal of Computational Physics 67 Computer Methods in Applied Mechanics and Engineering 55 SIAM Journal on Scientific Computing 31 Computers & Mathematics with Applications 26 Journal of Fluid Mechanics 17 ACM Transactions on Mathematical Software 17 International Journal for Numerical Methods in Engineering 17 Journal of Computational and Applied Mathematics 16 Computers and Fluids 11 Computational Mechanics 10 Journal of Scientific Computing 9 Numerical Linear Algebra with Applications 8 Journal of Numerical Mathematics 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 Computational Geosciences 5 Numerical Algorithms 5 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 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 2 Journal of the Mechanics and Physics of Solids 2 Calcolo 2 Computing 2 SIAM Journal on Control and Optimization 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 Archives of Computational Methods in Engineering 2 Multiscale Modeling & Simulation 2 Acta Numerica 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 Computer Physics Communications 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 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Numerical Methods for Partial Differential Equations 1 Journal of Parallel and Distributed Computing 1 Annals of Operations Research 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 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 International Journal of Numerical Modelling 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 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 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)
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### Cited in 30 Fields

 407 Numerical analysis (65-XX) 185 Fluid mechanics (76-XX) 114 Partial differential equations (35-XX) 98 Mechanics of deformable solids (74-XX) 45 Optics, electromagnetic theory (78-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 23 Geophysics (86-XX) 20 Operations research, mathematical programming (90-XX) 20 Biology and other natural sciences (92-XX) 19 Computer science (68-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Combinatorics (05-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)