ESTS0426 VODE.
VODE, Variable Coefficient Ordinary Differential Equations (ODE) Solver
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 |
|---|---|---|---|
| VODE | ESTS0426/01 | Arrived | 25-MAR-2002 |
Machines used:
| Package ID | Orig. computer | Test computer |
|---|---|---|
| ESTS0426/01 | CRAY family |
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3. DESCRIPTION OF PROGRAM OR FUNCTION
VODE is a package of subroutines for the numerical solution of the initial-value problem for systems of first-order ordinary differential equations. The package can be used for either stiff or nonstiff systems. In the stiff case, the Jacobian matrix is treated as full or banded. An algorithm is included for saving and reusing the Jacobian matrix under certain conditions. If storage is limited, this option may be suppressed.
VODE is a package of subroutines for the numerical solution of the initial-value problem for systems of first-order ordinary differential equations. The package can be used for either stiff or nonstiff systems. In the stiff case, the Jacobian matrix is treated as full or banded. An algorithm is included for saving and reusing the Jacobian matrix under certain conditions. If storage is limited, this option may be suppressed.
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8. RELATED AND AUXILIARY PROGRAMS
VODE supersedes both EPISODE and EPISODEB. VODE has a highly flexible user interface that is nearly identical to that of the ODEPACK (ESTSC 166) solver, LSODE. LSODE (ESTSC 216) which solves systems with a full or banded Jacobian matrix, is also available as a stand-alone package. VODE uses routines from LINPACK (ESTSC 178) and several of the Basic Linear Algebra Subprograms (BLAS) to solve linear algebraic systems: these routines are included.
VODE supersedes both EPISODE and EPISODEB. VODE has a highly flexible user interface that is nearly identical to that of the ODEPACK (ESTSC 166) solver, LSODE. LSODE (ESTSC 216) which solves systems with a full or banded Jacobian matrix, is also available as a stand-alone package. VODE uses routines from LINPACK (ESTSC 178) and several of the Basic Linear Algebra Subprograms (BLAS) to solve linear algebraic systems: these routines are included.
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10. REFERENCES
- G.D. Byrne and A.C. Hindmarsh:
A Polyalgorithm for the Numerical Solution of Ordinary
Differential Equations, ACM Transactions on Mathematical Software, Vol 1, pp. 71-96, March 1975 (also in UCRL-75652, April 1974).
- G.D. Byrne and A.C. Hindmarsh:
A Polyalgorithm for the Numerical Solution of Ordinary
Differential Equations, ACM Transactions on Mathematical Software, Vol 1, pp. 71-96, March 1975 (also in UCRL-75652, April 1974).
ESTS0426/01, included references:
- P.N. Brown, G.D. Byrne and A.C. Hindmarsh:VODE, A Variable-Coefficient Ode Solver
UCRL-98412 Preprint (June 1988).
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS
Both a single-precision version (SVODE) for long word-length machines and a double-precision version (DVODE) for short word-length machines are included.
NESC generated the single-precision (file SVODE.OUT) and double-precision (file DVODE.OUT) output files on a Cray Y-MP/832 and a DEC VAX6220, respectively. The output will vary slightly on other machines.
Both a single-precision version (SVODE) for long word-length machines and a double-precision version (DVODE) for short word-length machines are included.
NESC generated the single-precision (file SVODE.OUT) and double-precision (file DVODE.OUT) output files on a Cray Y-MP/832 and a DEC VAX6220, respectively. The output will vary slightly on other machines.
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ESTS0426/01
DVDEMO.FOR Double-precision VODE Source DVLIN.FOR Double-precision linear algebra subroutine
DVODE.FOR Double-precision VODE source
DVODE.OUT Output file
SVDEMO.FOR Single-precision demonstration program
SVLIN.FOR Single-precision linear algebra subroutine
SVODE.FOR Single-precision VODE Source
SVODE.OUT Single-precision sample problem
report UCRL-98412 Preprint (June 1988)
Keywords: ordinary differential equations.