Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations
β Scribed by Z. Jackiewicz; S. Tracogna
- Publisher
- Springer US
- Year
- 1996
- Tongue
- English
- Weight
- 805 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1017-1398
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Three new Runge-Kutta methods are presented for numerical integration of systems of linear inhomogeneous ordinary differential equations (ODEs) with constant coefficients. Such ODEs arise in the numerical solution of partial differential equations governing linear wave phenomena. The restriction to
We investigate the conditions which guarantee that Runge-Kutta methods preserve asymptotic values of the systems of ordinary differential equations. A complete characterization of such methods is given and examples of methods with these properties are presented for s = p : 2, 3 and 4, where s is the
We investigate stability properties of two-step Runge-Kutta methods with respect to the linear test equation y'(t) = ay(t) + by(t -T), t > O, where a and b are complex parameters. It is known that the solution y(t) to this equation tends to zero as t --~ oc if Ibl < -Re(a). We will show that under