swMATH ID: 4374
Software Authors: Alan C. Hindmarsh
Description: LSODE (Livermore Solver for Ordinary Differential Equations) solves stiff and nonstiff systems of the form dy/dt = f(t,y). In the stiff case, it treats the Jacobian matrix df/dy as either a dense (full) or a banded matrix, and as either user-supplied or internally approximated by difference quotients. It uses Adams methods (predictor-corrector) in the nonstiff case, and Backward Differentiation Formula (BDF) methods (the Gear methods) in the stiff case. The linear systems that arise are solved by direct methods (LU factor/solve). LSODE supersedes the older GEAR and GEARB packages, and reflects a complete redesign of the user interface and internal organization, with some algorithmic improvements. LSODE is available in separate double and single precision versions, called DLSODE and SLSODE. Documentation on the usage of DLSODE/SLSODE is provided in the initial block of comment lines in the source file, which includes a simple example. A demonstration program (in seperate double/single precision versions) is also available.
Homepage: https://computation.llnl.gov/casc/odepack/odepack_home.html
Keywords: Livermore Solver; ODE
Related Software: VODE; DASSL; RODAS; ODEPACK; DIFSUB; Matlab; MEBDF; SUNDIALS; PETSc; MATLAB ODE suite; KELLEY; Ode15s; ode45; ode23; GEAR; RKC; ode23s; ode113; CHEMSODE; STDTST
Cited in: 137 Publications
all top 5

Cited by 279 Authors

4 Ruoff, Peter
4 Van Vleck, Erik S.
3 Batra, Romesh C.
3 Burrage, Kevin
3 Elmer, Christopher Erhart
3 Gupta, Gopal K.
3 Martín-Vaquero, Jesús
3 Panesi, Marco
3 Sandu, Adrian
3 Selçuk, Nevin
3 Shampine, Lawrence Fred
3 Tarhan, Tanil
2 Aggarwal, Manu
2 Aro, Colin J.
2 Bungay, Sharene D.
2 Cash, Jeff R.
2 Deuflhard, Peter
2 do Carmo Coimbra, Maria
2 Gentry, Patricia A.
2 Gentry, Rodney D.
2 Hindmarsh, Alan C.
2 Jackson, Kenneth R.
2 Kelley, Carl T.
2 Lee, Steven L.
2 Miehe, Philipp
2 Miki, Kenji
2 Pawell, Angela
2 Pohl, Bert
2 Prudhomme, Serge
2 Rodrigues, Alirio Egidio
2 Rossi, Elena
2 Sereno, Carlos
2 Seward, Wendy L.
2 Tischer, Peter E.
2 Woodward, Carol S.
1 Aase, Sven Ole
1 Addison, Clifford A.
1 Alberti, Andrea
1 Allan, Benjamin A.
1 Amato, Davide
1 Arévalo, Carmen
1 Argeso, Hakan
1 Arias, Enrique
1 Armstrong, Robert C.
1 Arul Kumar, M.
1 Asgharzadeh, Hafez
1 Baer, Melvin R.
1 Banks, Harvey Thomas
1 Bartholomew-Biggs, Michael C.
1 Barton, Philip T.
1 Bartuccelli, Michele V.
1 Baù, Giulio
1 Beard, Daniel A.
1 Benkadda, Sadruddin
1 Benner, Peter
1 Benson, Steven J.
1 Bernholdt, David E.
1 Bhargava, Hemant K.
1 Bian, Xin
1 Bieterman, Michael B.
1 Binev, Daniel
1 Bock, Hans Georg
1 Boersma, Bendiks Jan
1 Bombardelli, Claudio
1 Borazjani, Iman
1 Bornemann, Folkmar A.
1 Breugem, Wim-Paul
1 Brown, Peter N.
1 Buenker, Robert J.
1 Buzzi-Ferraris, Guido
1 Byrne, George D.
1 Calvo, Manuel
1 Campbell, Stephen LaVern
1 Capistrán, Marcos A.
1 Chafaï, Djalil
1 Chambon, Guillaume
1 Charest, Marc R. J.
1 Chen, Jie
1 Chi, Xuebin
1 Chipman, F. H.
1 Choi, T. D.
1 Chou, Ching-Shan
1 Chowdhury, Arindrajit
1 Christen, J. Andrés
1 Christensen, Melinda K.
1 Clark, Kenneth D.
1 Clark, Tim W.
1 Cogan, Nicholas G.
1 Colombo, Rinaldo M.
1 Commenges, Daniel
1 Concordet, Didier
1 Dabdub, Donald
1 Dahlgren, Tamara L.
1 Dash, Ranjan K.
1 David, J. W.
1 De La Fuente, Leonardo
1 Deane, Jonathan H. B.
1 Desjardin, Paul E.
1 Diachin, Lori Freitag
1 Diamantakis, M. T.
...and 179 more Authors
all top 5

Cited in 63 Serials

16 Journal of Computational Physics
10 Applied Numerical Mathematics
7 ACM Transactions on Mathematical Software
6 Journal of Computational and Applied Mathematics
4 SIAM Journal on Scientific and Statistical Computing
4 SIAM Journal on Scientific Computing
4 Journal of Theoretical Biology
3 Computers & Mathematics with Applications
3 Computer Physics Communications
3 Bulletin of Mathematical Biology
3 Celestial Mechanics and Dynamical Astronomy
3 Combustion Theory and Modelling
2 Acta Mechanica
2 Journal of Fluid Mechanics
2 Applied Mathematics and Computation
2 Computing
2 Journal of Optimization Theory and Applications
2 SIAM Journal on Applied Mathematics
2 International Journal of Computational Fluid Dynamics
2 Multibody System Dynamics
1 International Journal of Non-Linear Mechanics
1 International Journal for Numerical Methods in Fluids
1 International Journal of Plasticity
1 Inverse Problems
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Nonlinearity
1 Shock Waves
1 Journal of Theoretical and Applied Mechanics (Sofia)
1 Rendiconti del Seminario Matematico della Università di Padova
1 SIAM Journal on Numerical Analysis
1 Parallel Computing
1 Computational Mechanics
1 Science in China. Series A
1 Applications of Mathematics
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 Computing Surveys
1 International Journal of Computer Mathematics
1 SIAM Review
1 Computers and Mathematics with Applications. Part A
1 Journal of Dynamics and Differential Equations
1 Continuum Mechanics and Thermodynamics
1 Topological Methods in Nonlinear Analysis
1 Communications in Numerical Methods in Engineering
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 INFORMS Journal on Computing
1 Communications in Nonlinear Science and Numerical Simulation
1 Optimization and Engineering
1 Physica Scripta
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Stochastic Models
1 Mathematical Medicine and Biology
1 Journal of Statistical Mechanics: Theory and Experiment
1 Texts in Applied Mathematics
1 Progress in Computational Fluid Dynamics
1 Acta Mechanica Sinica
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Applied Mathematics and Mechanics
1 Statistics and Computing
1 SIAM/ASA Journal on Uncertainty Quantification
1 Use R!

Citations by Year