Stability analysis of Runge-Kutta methods for nonlinear functional differential and functional equations (Q2336579)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability analysis of Runge-Kutta methods for nonlinear functional differential and functional equations |
scientific article |
Statements
Stability analysis of Runge-Kutta methods for nonlinear functional differential and functional equations (English)
0 references
19 November 2019
0 references
Summary: This paper is concerned with the numerical stability of Runge-Kutta methods for a class of nonlinear functional differential and functional equations. The sufficient conditions for the stability and asymptotic stability of \((k, l)\)-algebraically stable Runge-Kutta methods are derived. A numerical test is given to confirm the theoretical results.
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
