PETSc swMATH ID: 4012 Software Authors: S. Balay, W.D. Gropp, L.C. McInnes, B.F. Smith Description: The Portable, Extensible Toolkit for Scientific Computation (PETSc) is a suite of data structures and routines that provide the building blocks for the implementation of large-scale application codes on parallel (and serial) computers. PETSc uses the MPI standard for all message-passing communication. PETSc includes an expanding suite of parallel linear, nonlinear equation solvers and time integrators that may be used in application codes written in Fortran, C, C++, Python, and MATLAB (sequential). PETSc provides many of the mechanisms needed within parallel application codes, such as parallel matrix and vector assembly routines. The library is organized hierarchically, enabling users to employ the level of abstraction that is most appropriate for a particular problem. By using techniques of object-oriented programming, PETSc provides enormous flexibility for users. PETSc is a sophisticated set of software tools; as such, for some users it initially has a much steeper learning curve than a simple subroutine library. In particular, for individuals without some computer science background, experience programming in C, C++ or Fortran and experience using a debugger such as gdb or dbx, it may require a significant amount of time to take full advantage of the features that enable efficient software use. However, the power of the PETSc design and the algorithms it incorporates may make the efficient implementation of many application codes simpler than “rolling them” yourself. Homepage: http://www.mcs.anl.gov/petsc/ Keywords: partial differential equations Related Software: FEniCS; MUMPS; hypre; SLEPc; Trilinos; Gmsh; deal.ii; BoomerAMG; libMesh; LAPACK; METIS; Firedrake; Matlab; DOLFIN; FreeFem++; GitHub; UMFPACK; p4est; SyFi; Python Referenced in: 1,554 Publications Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Developing a geodynamics simulator with PETSc. Zbl 1100.86005Knepley, Matthew G.; Katz, Richard F.; Smith, Barry 2006 Efficient management of parallelism in object-oriented numerical software libraries. Zbl 0882.65154Balay, Satish; Gropp, William D.; McInnes, Lois Curfman; Smith, Barry F. 1997 all top 5 Referenced by 2,997 Authors 53 Cai, Xiao-Chuan 33 Pavarino, Luca Franco 26 Bassi, Francesco 26 Scacchi, Simone 23 Zampini, Stefano 22 Keyes, David Elliot 22 Klawonn, Axel 21 Rheinbach, Oliver 19 Hwang, Fengnan 19 Román, Jose E. 19 Yang, Chao 18 Yang, Haijian 17 Dalcín, Lisandro D. 16 Knepley, Matthew G. 15 Crivellini, Andrea 15 Griffith, Boyce E. 14 Colli Franzone, Piero 14 Waisman, Haim 13 Widlund, Olof B. 12 Colombo, Alessandro G. 12 Mitchell, Lawrence 11 Botti, Lorenzo 11 Ghidoni, Antonio 11 Gibou, Frédéric 11 Jolivet, Pierre 11 Krause, Rolf H. 11 Stern, Fred 10 Carrica, Pablo M. 10 Ghattas, Omar N. 10 Parsani, Matteo 10 Smith, Barry F. 9 Badia, Santiago 9 Bangerth, Wolfgang 9 Barba, Lorena A. 9 Biros, George 9 Chen, Rongliang 9 Cotter, Colin John 9 Farrell, Patrick E. 9 Heister, Timo 9 Kronbichler, Martin 9 Luo, Li 8 Beilina, Larisa 8 Bhalla, Amneet Pal Singh 8 Horák, David 8 Knezevic, David J. 8 Lanser, Martin 8 Maier, Matthias Sebastian 8 Martín, Alberto F. 8 McInnes, Lois Curfman 8 Patankar, Neelesh A. 8 Prud’homme, Christophe 8 Rhebergen, Sander 8 Saad, Yousef 8 Sahin, Mehmet 8 Szyld, Daniel B. 7 Aulisa, Eugenio 7 Barker, Andrew T. 7 Čiegis, Raimondas 7 Dawson, Clint N. 7 Denner, Fabian 7 Di Pietro, Daniele Antonio 7 Farrell, Patrick Emmet 7 Gómez, Héctor J. 7 Heltai, Luca 7 Kahle, Christian 7 Kirby, Robert C. 7 McAuliffe, Colin 7 Medale, Marc 7 Ollivier-Gooch, Carl F. 7 Pain, Christopher C. 7 Plank, Gernot 7 Turcksin, Bruno 6 Adams, Mark F. 6 Arndt, Daniel 6 Baiges, Joan 6 Berger-Vergiat, Luc 6 Calo, Victor Manuel 6 Campos, Carmen 6 Chang, Justin 6 Del Rey Fernández, David C. 6 Franchina, Nicoletta 6 Ganapathysubramanian, Baskar 6 Hapla, Vaclav 6 Huang, Jizu 6 Kamensky, David 6 Masson, Roland 6 Nakshatrala, K. B. 6 Pelteret, Jean-Paul 6 Rebay, Stefano 6 Schütz, Jochen 6 Storti, Mario Alberto 6 Sun, Shuyu 6 van Wachem, Berend G. M. 6 Wechsung, Florian 6 Xie, Dexuan 5 Bourdin, Blaise 5 Brown, Jed 5 Carey, Graham Francis 5 Casquero, Hugo 5 Čermák, Martin ...and 2,897 more Authors all top 5 Referenced in 181 Serials 280 Journal of Computational Physics 160 Computer Methods in Applied Mechanics and Engineering 154 SIAM Journal on Scientific Computing 112 Computers and Fluids 46 ACM Transactions on Mathematical Software 36 Journal of Scientific Computing 33 Computers & Mathematics with Applications 32 International Journal for Numerical Methods in Engineering 32 Journal of Computational and Applied Mathematics 28 Computational Mechanics 27 International Journal for Numerical Methods in Fluids 26 Computer Physics Communications 26 Journal of Fluid Mechanics 21 Computational Geosciences 18 Numerical Linear Algebra with Applications 14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 12 International Journal of Computational Fluid Dynamics 10 SIAM Journal on Numerical Analysis 10 Applied Numerical Mathematics 9 Mathematical Biosciences 9 ETNA. 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B. Fluids 4 Concurrency and Computation: Practice & Experience 4 Mathematical Geosciences 3 Calcolo 3 Physica D 3 Applied Mathematics Letters 3 Applications of Mathematics 3 Numerical Algorithms 3 International Journal of Computer Mathematics 3 SIAM Journal on Applied Mathematics 3 Mathematical Programming. Series A. Series B 3 SIAM Journal on Optimization 3 Computational Optimization and Applications 3 Engineering Analysis with Boundary Elements 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 European Journal of Mechanics. A. Solids 3 Combustion Theory and Modelling 3 Journal of High Energy Physics 3 Optimization and Engineering 3 Mathematical Modelling and Analysis 3 Software - Environments - Tools 3 Acta Mechanica Sinica 3 International Journal for Numerical Methods in Biomedical Engineering 3 Journal of Theoretical Biology 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 3 SMAI Journal of Computational Mathematics 2 IMA Journal of Numerical Analysis 2 Journal of Engineering Mathematics 2 Journal of Mathematical Biology 2 Bulletin of Mathematical Biology 2 Journal of Optimization Theory and Applications 2 Meccanica 2 Finite Elements in Analysis and Design 2 Numerical Methods for Partial Differential Equations 2 Computational Mathematics and Mathematical Physics 2 Mathematical Problems in Engineering 2 Informatica (Vilnius) 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Lobachevskii Journal of Mathematics 2 Multiscale Modeling & Simulation 2 Acta Numerica 2 International Journal of Numerical Analysis and Modeling 2 Journal of Computational Acoustics 2 International Journal of Parallel, Emergent and Distributed Systems 2 GAMM-Mitteilungen 2 Springer Series in Computational Mathematics 2 Lecture Notes in Computational Science and Engineering 2 Inverse Problems and Imaging 2 Applied and Computational Mathematics 2 GEM - International Journal on Geomathematics 2 Journal of Mathematics in Industry 2 Communications on Applied Mathematics and Computation 2 SN Partial Differential Equations and Applications 2 Results in Applied Mathematics 2 Journal of Computational and Theoretical Transport 1 International Journal of Modern Physics A 1 Archive for Rational Mechanics and Analysis ...and 81 more Serials all top 5 Referenced in 37 Fields 1,053 Numerical analysis (65-XX) 660 Fluid mechanics (76-XX) 271 Mechanics of deformable solids (74-XX) 268 Partial differential equations (35-XX) 130 Biology and other natural sciences (92-XX) 96 Computer science (68-XX) 83 Geophysics (86-XX) 74 Optics, electromagnetic theory (78-XX) 63 Statistical mechanics, structure of matter (82-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 36 Operations research, mathematical programming (90-XX) 31 Classical thermodynamics, heat transfer (80-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 23 Quantum theory (81-XX) 14 Probability theory and stochastic processes (60-XX) 14 Statistics (62-XX) 12 Integral equations (45-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Relativity and gravitational theory (83-XX) 7 General and overarching topics; collections (00-XX) 7 Ordinary differential equations (34-XX) 5 Combinatorics (05-XX) 5 Mechanics of particles and systems (70-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 3 Operator theory (47-XX) 3 Astronomy and astrophysics (85-XX) 3 Information and communication theory, circuits (94-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Mathematics education (97-XX) Referencing Publications by Year