Abstract
LSODKR is a new initial value ODE solver for stiff and nonstiff systems. It is a variant of the LSODPK and LSODE solvers, intended mainly for large stiff systems. The main differences between LSODKR and LSODE are the following: (a) for stiff systems, LSODKR uses a corrector iteration composed of Newton iteration and one of four preconditioned Krylov subspace iteration methods. The user must supply routines for the preconditioning operations, (b) Within the corrector iteration, LSODKR does automatic switching between functional (fixpoint) iteration and modified Newton iteration, (c) LSODKR includes the ability to find roots of given functions of the solution during the integration.
- Developers:
- Release Date:
- 1991-09-09
- Project Type:
- Closed Source
- Software Type:
- Scientific
- Sponsoring Org.:
-
DOE/ERPrimary Award/Contract Number:W-7405-ENG-48
- Code ID:
- 12080
- Site Accession Number:
- 1045
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Country of Origin:
- United States
Citation Formats
Hindmarsh, Alan.
ODE System Solver W. Krylov Iteration & Rootfinding.
Computer Software.
DOE/ER.
09 Sep. 1991.
Web.
doi:10.11578/dc.20180615.11.
Hindmarsh, Alan.
(1991, September 09).
ODE System Solver W. Krylov Iteration & Rootfinding.
[Computer software].
https://doi.org/10.11578/dc.20180615.11.
Hindmarsh, Alan.
"ODE System Solver W. Krylov Iteration & Rootfinding." Computer software.
September 09, 1991.
https://doi.org/10.11578/dc.20180615.11.
@misc{
doecode_12080,
title = {ODE System Solver W. Krylov Iteration & Rootfinding},
author = {Hindmarsh, Alan},
abstractNote = {LSODKR is a new initial value ODE solver for stiff and nonstiff systems. It is a variant of the LSODPK and LSODE solvers, intended mainly for large stiff systems. The main differences between LSODKR and LSODE are the following: (a) for stiff systems, LSODKR uses a corrector iteration composed of Newton iteration and one of four preconditioned Krylov subspace iteration methods. The user must supply routines for the preconditioning operations, (b) Within the corrector iteration, LSODKR does automatic switching between functional (fixpoint) iteration and modified Newton iteration, (c) LSODKR includes the ability to find roots of given functions of the solution during the integration.},
doi = {10.11578/dc.20180615.11},
url = {https://doi.org/10.11578/dc.20180615.11},
howpublished = {[Computer Software] \url{https://doi.org/10.11578/dc.20180615.11}},
year = {1991},
month = {sep}
}