On the design of explicit boundary-value Runge-Kutta methods
Thesis/Dissertation
·
OSTI ID:5215975
The author presents a new method for improving the Boundary Value Runge Kutta Method (BVRK) for the solution of boundary value nonlinear ordinary differential equations. A function characterizing the stability of explicit BVRK's is introduced and utilized to design both symmetric and asymmetric methods that have better stability. This function is also used to devise a new technique for mesh placement. The stability function is obtained from a generalization of the well known Algebraic Stability criterion. Computational experiments are given showing the enhancement of stability and the relative efficiency of the mesh placement.
- Research Organization:
- State Univ. of New York, Stony Brook, NY (United States)
- OSTI ID:
- 5215975
- Country of Publication:
- United States
- Language:
- English
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