ESTS0752 CVODE.
VCODE, Ordinary Differential Equation Solver for Stiff and Non-Stiff Problems
NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROGRAM OR FUNCTION, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED, OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHORS, MATERIAL, CATEGORIES
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| Program name | Package id | Status | Status date |
|---|---|---|---|
| CVODE | ESTS0752/01 | Arrived | 21-MAR-2001 |
Machines used:
| Package ID | Orig. computer | Test computer |
|---|---|---|
| ESTS0752/01 | SUN |
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3. DESCRIPTION OF PROGRAM OR FUNCTION
CVODE is a package written in ANSI standard C for solving initial value problems for ordinary differential equations. It solves both stiff and non stiff systems. In the stiff case, it includes a variety of options for treating the Jacobian of the system, including dense and band matrix solvers, and a preconditioned Krylov (iterative) solver.
CVODE is a package written in ANSI standard C for solving initial value problems for ordinary differential equations. It solves both stiff and non stiff systems. In the stiff case, it includes a variety of options for treating the Jacobian of the system, including dense and band matrix solvers, and a preconditioned Krylov (iterative) solver.
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4. METHOD OF SOLUTION
Integration is by Adams or BDF (Backward Differentiation Formula) methods, at user option. Corrector iteration is by functional iteration or Newton iteration. For the solution of linear systems within Newton iteration, users can select a dense solver, a band solver, a diagonal approximation, or a preconditioned Generalized Minimal Residual (GMRES) solver. In the dense and band cases, the user can supply a Jacobian approximation or let CVODE generate it internally. In the GMRES case, the preconditioner is user-supplied.
Integration is by Adams or BDF (Backward Differentiation Formula) methods, at user option. Corrector iteration is by functional iteration or Newton iteration. For the solution of linear systems within Newton iteration, users can select a dense solver, a band solver, a diagonal approximation, or a preconditioned Generalized Minimal Residual (GMRES) solver. In the dense and band cases, the user can supply a Jacobian approximation or let CVODE generate it internally. In the GMRES case, the preconditioner is user-supplied.
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7. UNUSUAL FEATURES OF THE PROGRAM
CVODE is organized in a highly modular manner. The basic integrator module is separate from, and independent of, the linear system solvers. Thus the set of linear solvers can be expanded in the future, with no impact on the integrator. All operators on N-vectors (where N is the system size) are isolated in a set of vector kernels.
CVODE is organized in a highly modular manner. The basic integrator module is separate from, and independent of, the linear system solvers. Thus the set of linear solvers can be expanded in the future, with no impact on the integrator. All operators on N-vectors (where N is the system size) are isolated in a set of vector kernels.
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ESTS0752/01, included references:
- Scott. D. Cohen and Alan C. Hindmarsh:CVODE User Guide
UCRL-MA-118618 (September 1994)
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ESTS0752/01
miscellaneous mag tapeREADME Information file MISTPtest-case data mag tapeMakefile Commands to create lib/cvodelib.a DATTP
miscellaneous mag tapecvuguide.ps Computer readable User Guide MISTP
source program mag tapesource/ Contains all CVODE source .c files SRCTP
source program mag tapeinclude/ Contains all CVODE header .h filesSRCTP
bin data lib mag tapelib/ Contains the library cvodelib.a LBBTP
test-case data mag tapeexamples/ Srces & makefiles of example progDATTP
report UCRL-MA-118618 (September 1994) REPPT
Keywords: initial-value problems, ordinary differential equations.