Collection of software for ordinary differential equations. [Status of GEAR and EPISODE packages]
Two groups of programs have been developed, primarily at LLL, for the numerical solution of initial-value problems for systems of ordinary differential equations. The first includes the GEAR package, based on the earlier work of C.W. Gear. It is a general-purpose, variable-step, variable-order, automatic ODE solver, with eight different method options, covering both stiff and nonstiff problem types. A number of variants of GEAR have also been written, largely in order to solve large stiff problems of various types. A newer and smaller group of programs is based on the EPISODE package (co-authored with G.D. Byrne), which resembles GEAR but is based on totally variable-step formulas. Considerable effort has been spent in adapting these ODE solvers to problems arising from time-dependent partial differential equations. All of the solvers discussed are publicly available. 1 figure, 1 table.
- Research Organization:
- California Univ., Livermore (USA). Lawrence Livermore Lab.
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 6189788
- Report Number(s):
- UCRL-82091; CONF-790402-5
- Country of Publication:
- United States
- Language:
- English
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