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.
✦ LIBER ✦
Improved King’s methods with optimal order of convergence based on rational approximations
✍ Scribed by Sharma, Janak Raj; Guha, Rangan K.; Gupta, Puneet
- Book ID
- 120181817
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 221 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0893-9659
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