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Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernels
- Source :
- Computing. 45:291-300
- Publication Year :
- 1990
- Publisher :
- Springer Science and Business Media LLC, 1990.
-
Abstract
- We investigate the stability of the numerical solutions resulting from applying very general classes of Runge-Kutta methods to Volterra integral and integro-differential equations with degenerate kernels. The results are generalizations of previous results obtained by the authors for exact collocation methods for these equations.
- Subjects :
- Physics::Computational Physics
Numerical Analysis
Collocation
Differential equation
Degenerate energy levels
Mathematical analysis
Computer Science::Numerical Analysis
Integral equation
Volterra integral equation
Mathematics::Numerical Analysis
Computer Science Applications
Theoretical Computer Science
Computational Mathematics
symbols.namesake
Runge–Kutta methods
Computational Theory and Mathematics
Collocation method
symbols
Software
Numerical stability
Mathematics
Subjects
Details
- ISSN :
- 14365057 and 0010485X
- Volume :
- 45
- Database :
- OpenAIRE
- Journal :
- Computing
- Accession number :
- edsair.doi.dedup.....a8b4468035e89893c58184046bdfce4c
- Full Text :
- https://doi.org/10.1007/bf02238797