Boundary value methods for PDEs
- IRMA, Bari (Italy)
- Universita degli Studi di Bari (Italy)
- Universita degli Studi di Firenze (Italy)
Many existing numerical schemes for the solution of partial differential equations c .an be derived by the method of lines. The PDEs are converted into a system of ordinary differential equations with initial conditions (longitudinal scheme) or boundary conditions (transverse scheme). This system may be stiff or singularly perturbed; then, a numerical method with a large stability region must be used for solving the resulting ODEs. This paper studies the behavior of a class of Boundary Value Methods when applied to partial differential equations discretized with both the longitudinal and the transversal scheme. Some numerical experiments illustrate that the performance of BVMs is the same for both schemes.
- OSTI ID:
- 482022
- Report Number(s):
- CONF-960503--
- Country of Publication:
- United States
- Language:
- English
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