Achieving Very High Order for Implicit Explicit Time Stepping: Extrapolation Methods
2008) Achieving Very High Order for Implicit Explicit Time Stepping: Extrapolation Methods. Technical Report TR-08-13, Computer Science, Virginia Polytechnic Institute and State University. (
In this paper we construct extrapolated implicit-explicit time stepping methods that allow to efficiently solve problems with both stiff and non-stiff components. The proposed methods can provide very high order discretizations of ODEs, index-1 DAEs, and PDEs in the method of lines framework. These methods are simple to construct, easy to implement and parallelize. We establish the existence of perturbed asymptotic expansions of global errors, explain the convergence orders of these methods, and explore their linear stability properties. Numerical results with stiff ODEs, DAEs, and PDEs illustrate the theoretical findings and the potential of these methods to solve multiphysics multiscale problems.
|Item Type:||Departmental Technical Report|
|Subjects:||Computer Science > Numerical Analysis|
|Deposited By:||Constantinescu, Mr. Emil M.|
|Deposited On:||04 August 2008|