Three-stage stochastic Runge–Kutta methods for stochastic differential equations
✍ Scribed by Peng Wang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 493 KB
- Volume
- 222
- Category
- Article
- ISSN
- 0377-0427
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📜 SIMILAR VOLUMES
New fully implicit stochastic Runge-Kutta schemes of weak order 1 or 2 are proposed for stochastic differential equations with sufficiently smooth drift and diffusion coefficients and a scalar Wiener process, which are derivative-free and which are A-stable in mean square for a linear test equation
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