Unconditionally stable higher order time-step integration algorithms are presented. The algorithms are based on the Newmark method with complex time steps. The numerical results at the (complex) sub-step locations are combined linearly to give higher order accurate results at the end of the time ste
Higher order time integration methods for two-phase flow
β Scribed by Christopher E. Kees; Cass T. Miller
- Book ID
- 108434193
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 364 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0309-1708
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In this paper we design higher-order time integrators for systems of stiff ordinary differential equations. We combine implicit Runge-Kutta and BDF methods with iterative operator-splitting methods to obtain higher-order methods. The idea of decoupling each complicated operator in simpler operators