Rosenbrock Methods for Partial Differential Equations and Fractional Orders of Convergence
β Scribed by A. Ostermann and M. Roche
- Book ID
- 124925672
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1993
- Tongue
- English
- Weight
- 354 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0036-1429
- DOI
- 10.2307/2158191
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We construct rational approximations to linear, non-homogeneous initial boundary value problems. They are based on A-acceptable rational approximations to the exponential for the time discretization. The order reduction phenomenon is avoided and the optimal order of convergence in time is achieved.
In this letter we develop a new generalization of the two-dimensional differential transform method that will extend the application of the method to linear partial differential equations with space-and time-fractional derivatives. The new generalization is based on the two-dimensional differential
Approximations where the derivatives are corrected so as to satisfy linear completeness on the derivatives are investigated. These techniques are used in particle methods and other mesh-free methods. The basic approximation is a Shepard interpolant which possesses only constant completeness. The der