A special family of Runge-Kutta methods for solving stiff differential equations
β Scribed by Kevin Burrage
- Publisher
- Springer Netherlands
- Year
- 1978
- Tongue
- English
- Weight
- 843 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0006-3835
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π SIMILAR VOLUMES
In this paper the author investigates the stability of numerical methods for general delay differential equations of the type { y'(t) = j(t, y(t), y(a(t))), t 2 to, where a(t) < t and y(t) is a vector complex-valued function. Contractivity conditions are found for Runge-Kutta methods as applied to
Stability of IMEX (implicit-explicit) Runge-Kutta methods applied to delay differential equations (DDEs) is studied on the basis of the scalar test equation du/dt = u(t) + u(t -), where is a constant delay and , are complex parameters. More specifically, P-stability regions of the methods are define