Splitting methods in partial differential equations
β Scribed by A. R. Mitchell
- Book ID
- 111880160
- Publisher
- Vandenhoeck & Ruprecht
- Year
- 1971
- Tongue
- German
- Weight
- 537 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0025-5858
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π SIMILAR VOLUMES
A family of numerical methods which are L-stable, fourth-order accurate in space and time, and do not require the use of complex arithmetic is developed for solving second-order linear parabolic partial differential equations. In these methods, second-order spatial derivatives are approximated by fo
In this article we study computational issues related to a nonlinear Galerkin type splitting (NLG) of partial differential equations in the case of a Fourier collocation discretization. We present an extension of the method to two-dimensional problems and show that the sole separation of modes in NL
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