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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
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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
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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. Series A. Mathematical, Physical and Engineering Sciences
2 Combustion Theory and Modelling
1 Applicable Analysis
1 Astrophysics and Space Science
1 Classical and Quantum Gravity
1 Communications in Mathematical Physics
1 IMA Journal of Numerical Analysis
1 International Journal of Heat and Mass Transfer
1 International Journal of Non-Linear Mechanics
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Physica A
1 Mathematics of Computation
1 Theoretical and Computational Fluid Dynamics
1 ACM Transactions on Mathematical Software
1 International Journal for Numerical Methods in Engineering
1 Journal of Optimization Theory and Applications
1 Kyungpook Mathematical Journal
1 Mechanics Research Communications
1 Studies in Applied Mathematics
1 SIAM Journal on Scientific and Statistical Computing
1 Note di Matematica
1 Parallel Computing
1 Computers & Operations Research
1 Applied Mathematics Letters
1 Journal of Scientific Computing
1 Annals of Physics
1 International Journal of Computer Mathematics
1 Celestial Mechanics and Dynamical Astronomy
1 SIAM Journal on Scientific Computing
1 Physics of Fluids
1 Computational and Applied Mathematics
1 Discrete and Continuous Dynamical Systems
1 Journal of Vibration and Control
1 Nonlinear Dynamics
1 ZAMM. 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

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