Enumeration results for Runge–Kutta methods for index 2 DAEs
✍ Scribed by Frank Cameron
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 162 KB
- Volume
- 213
- Category
- Article
- ISSN
- 0377-0427
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📜 SIMILAR VOLUMES
Given a linear variable coe cient DAE, the logarithmic norm of a pencil related to the original pencil (A(t); B(t)), allows us to determine the contractivity of A(t)x(t) . When algebraically stable Runge-Kutta methods are used for DAEs, the contractivity for A n+1x n+1 is no longer maintained for al
In this paper, we investigate the positivity property for a class of 2-stage explicit Runge-Kutta (RK2) methods of order two when applied to the numerical solution of special nonlinear initial value problems (IVPs) for ordinary differential equations (ODEs). We also pay particular attention to monot