ODEPACK swMATH ID: 8341 Software Authors: A.C. Hindmarsh Description: ODEPACK, a systematized collection of ODE solvers. ODEPACK is a collection of Fortran solvers for the initial value problem for ordinary differential equation systems. It consists of nine solvers, namely a basic solver called LSODE and eight variants of it – LSODES, LSODA, LSODAR, LSODPK, LSODKR, LSODI, LSOIBT, and LSODIS. The collection is suitable for both stiff and nonstiff systems. It includes solvers for systems given in explicit form, dy/dt = f(t,y), and also solvers for systems given in linearly implicit form, A(t,y) dy/dt = g(t,y). Two of the solvers use general sparse matrix solvers for the linear systems that arise. Two others use iterative (preconditioned Krylov) methods instead of direct methods for these linear systems. The most recent addition is LSODIS, which solves implicit problems with general sparse treatment of all matrices involved. Homepage: http://computation.llnl.gov/casc/odepack/odepack_home.html Related Software: VODE; RODAS; Matlab; SciPy; LSODE; F2PY; FFTW; R; DASSL; MATLAB ODE suite; deSolve; SUNDIALS; Ode15s; ode45; ode23; Python; ode23s; ode113; Maple; DIFSUB Cited in: 202 Publications all top 5 Cited by 422 Authors 6 Salupere, Andrus 5 Tamm, Kert 4 Massot, Marc 4 Najm, Habib N. 4 Sportisse, Bruno 3 Batra, Romesh C. 3 Djouad, Rafik 3 Engelbrecht, Jüri 3 Goussis, Dimitris A. 3 Hindmarsh, Alan C. 3 Knoth, Oswald 3 Münch, Andreas 3 Net, Marta 3 Valorani, Mauro 3 Viana, Ricardo Luiz 3 Wolke, Ralf 3 Zlatev, Zahari 2 Arias, Enrique 2 Berzins, Martin 2 Brown, Peter N. 2 Budanur, Nazmi Burak 2 Burrage, Kevin 2 Cash, Jeff R. 2 Chacón, Luis 2 Constales, Denis 2 Creta, Francesco 2 Descombes, Stéphane 2 Diamantakis, M. T. 2 Eberl, Hermann J. 2 Eraslan, Ahmet N. 2 Hernández, Vicente G. 2 Ibáñez González, Jacinto Javier 2 Ilison, Lauri 2 Izzo, Giuseppe 2 Jackiewicz, Zdzislaw 2 Jennings, Leslie Stephen 2 Kacur, Jozef 2 Kevrekidis, Ioannis George 2 Knio, Omar M. 2 Laurent, Frédérique 2 Mazzia, Francesca 2 Moore, Peter K. 2 Muhammad, Nasim 2 Peets, Tanel 2 Peinado, Jesús 2 Powers, Joseph M. 2 Pytlak, Radosław 2 Soetaert, Karline 2 Strehmel, Karl 2 Teo, Kok Lay 2 Weiner, Rüdiger 2 Zheng, Wei Xing 1 Abdallah, Haïscam 1 Abdulla, T. J. 1 Abukhdeir, Nasser Mohieddin 1 Agusto, Folashade B. 1 Aittokallio, Tero 1 Åkesson, Johan 1 Aleman-Meza, Boanerges 1 Allen, Henry R. 1 Alt, René 1 Andersson, Christian 1 Andrews, Kevin T. 1 Andrzejewski, Thomas 1 Ansmann, Gerrit 1 Argeso, Hakan 1 Arnold, Jonathan 1 Aro, Colin J. 1 Asano, Ryoji 1 Augenbaum, Jeffrey M. 1 Balay, Satish 1 Banerjee, Ipsita 1 Banks, Harvey Thomas 1 Barash, Danny 1 Barhorst, Alan A. 1 Bartels, John D. 1 Batens, Nicholas 1 Beard, Daniel A. 1 Begon, Mickaël 1 Bement, Matthew T. 1 Benson, Steven J. 1 Berkowicz, Ruwim 1 Bertozzi, Andrea Louise 1 Betts, John T. 1 Binsl, Thomas W. 1 Bischof, Christian H. 1 Björck, Åke 1 Blom, Joke G. 1 Bock, Hans Georg 1 Both, Ambrus 1 Brooks, Gregory P. 1 Brouwer, Andrew F. 1 Brown, Robert C. 1 Bruder, Jürgen 1 Brugnano, Luigi 1 Buffo, Antonio 1 Bukharina, T. A. 1 Byrne, George D. 1 Calvo, Manuel 1 Carey, Thomas E. ...and 322 more Authors all top 5 Cited in 82 Serials 26 Journal of Computational Physics 16 Applied Numerical Mathematics 10 Computers & Mathematics with Applications 10 Physica D 8 Journal of Computational and Applied Mathematics 7 Applied Mathematics and Computation 7 Journal of Theoretical Biology 4 Mathematics and Computers in Simulation 4 Communications in Nonlinear Science and Numerical Simulation 3 Acta Mechanica 3 Computer Methods in Applied Mechanics and Engineering 3 Computer Physics Communications 3 Wave Motion 3 Bulletin of Mathematical Biology 3 Mathematical and Computer Modelling 3 Applications of Mathematics 3 Numerical Algorithms 3 Chaos 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Computing 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Computational Mechanics 2 Dynamics and Control 2 Applied Mathematical Modelling 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Mathematical Problems in Engineering 2 Multibody System Dynamics 2 Philosophical Transactions of the Royal Society of London. 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Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 New Journal of Physics 1 Living Reviews in Relativity 1 International Journal of Modern Physics C 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Computational Biology and Chemistry 1 Journal of Cosmology and Astroparticle Physics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Boundary Value Problems 1 Lecture Notes in Mathematics 1 Advances in Design and Control 1 Progress in Computational Fluid Dynamics 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Statistics and Computing 1 International Journal of Numerical Analysis and Modeling. Series B all top 5 Cited in 27 Fields 100 Numerical analysis (65-XX) 52 Ordinary differential equations (34-XX) 42 Biology and other natural sciences (92-XX) 40 Fluid mechanics (76-XX) 29 Partial differential equations (35-XX) 25 Classical thermodynamics, heat transfer (80-XX) 24 Dynamical systems and ergodic theory (37-XX) 21 Mechanics of deformable solids (74-XX) 10 Computer science (68-XX) 8 Mechanics of particles and systems (70-XX) 8 Systems theory; control (93-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Geophysics (86-XX) 5 Operations research, mathematical programming (90-XX) 4 Relativity and gravitational theory (83-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Astronomy and astrophysics (85-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year