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Rational one-step methods for initial value problems

✍ Scribed by F.D. van Niekerk

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
255 KB
Volume
16
Category
Article
ISSN
0898-1221

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✦ Synopsis

Communicated by E. Y. Rodin

Al~a'aet--First, second and third order explicit nonlinear one-step methods arc proposed for singular and stiff initial value problems (ivp's). The algorithms are based on the representation of the solution by a finite continued fraction. Numerical examples are provided to illustrate the algorithms.

πŸ“œ SIMILAR VOLUMES

Two-step waveform relaxation methods for
Two-step waveform relaxation methods for implicit linear initial value problems
✍ Jian-Yu Pan; Zhong-Zhi Bai; Michael K. Ng πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 123 KB

## Abstract A class of two‐step waveform relaxation methods is established and studied for solving implicit linear initial value problems, which, in particular, includes the alternating direction implicit waveform relaxation (ADIWR) methods. The convergence property of the ADIWR methods is studied