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LSODE and LSODI, two new initial value ordinary differential equation solvers
Abstract
Two new packages are available for the numerical solution of the initial value problem for stiff and nonstiff systems of ordinary differential equations (ODE's). LSODE solves explicitly given ODE systems, while LSODI solves systems given in linearly implicit form, including differential-algebraic systems. Both are based on older packages that have proved highly popular, but both reflect a wide variety of improvements in the design of the user interface, algorithms, and program structure.
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Citations
Cited by
VODE: a variable-coefficient ODE solver.
Brown, P. N., Byrne, G. D., & Hindmarsh, A. C. (1989) · SIAM Journal on Scientific and Statistical Computing · doi:10.1137/0910062 · Cited by 1,642
Self-citationTransport of fluid and macromolecules in tumors. I. Role of interstitial pressure and convection
Baxter, L. T., & Jain, R. K. (1989) · Microvascular Research · doi:10.1016/0026-2862(89)90074-5 · Cited by 894
Convective Heat and Mass Transfer
Ghiaasiaan, S. M. (2011) · Cambridge University Press eBooks · doi:10.1017/cbo9780511800603 · Cited by 788
Global kinetic analysis of complex materials
Burnham, A. K., & Braun, R. L. (1999) · Energy & Fuels · doi:10.1021/ef9800765 · Cited by 585
A cooperative strategy for parameter estimation in large scale systems biology models
Villaverde, A. F., Egea, J. A., & Banga, J. R. (2012) · BMC Systems Biology · doi:10.1186/1752-0509-6-75 · Cited by 56
Metadata
- Authors
- Hindmarsh, A. C.
- Venue
- ACM SIGNUM Newsletter
- Published
- 1980-12
- Volume
- 15
- Issue
- 4
- Pages
- 10-11
- ISSN
- 0163-5778 (ISSN-L)
- OpenAlex
- W2066969405
- Cited by
- 907
- References
- 0
- FWCI
- 8.42
- Type
- journal article
- Language
- en
- Open access
- closed
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- Hindmarsh, A. C. (1980). LSODE and LSODI, two new initial value ordinary differential equation solvers. ACM SIGNUM Newsletter. https://doi.org/10.1145/1218052.1218054
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
