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- articleSeptember 2009
Operator-splitting methods in respect of eigenvalue problems for nonlinear equations and applications for Burgers equations
Journal of Computational and Applied Mathematics (JCAM), Volume 231, Issue 2Pages 815–827https://doi.org/10.1016/j.cam.2009.05.009In this article we consider iterative operator-splitting methods for nonlinear differential equations with respect to their eigenvalues. The main focus of the proposed idea is the fixed-point iterative scheme that linearizes our underlying equations. On ...
- articleJuly 2008
Iterative operator-splitting methods with higher-order time integration methods and applications for parabolic partial differential equations
Journal of Computational and Applied Mathematics (JCAM), Volume 217, Issue 1Pages 227–242https://doi.org/10.1016/j.cam.2007.06.028In 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 ...
