Computing Exponential for Iterative Splitting Methods: Algorithms and Applications
نویسندگان
چکیده
منابع مشابه
Computing Exponential for Iterative Splitting Methods: Algorithms and Applications
Iterative splitting methods have a huge amount to compute matrix exponential. Here, the acceleration and recovering of higher-order schemes can be achieved. From a theoretical point of view, iterative splitting methods are at least alternating Picards fix-point iteration schemes. For practical applications, it is important to compute very fast matrix exponentials. In this paper, we concentrate ...
متن کاملWeighted Iterative Operator-Splitting Methods and Applications
The subject of our research is to solve accurately ODEs, which appear in mathematical models arising from several physical processes. For this purpose we develop a new class of weighted iterative operator splitting methods. We present applications to systems of linear ODEs, which might contain also stiff parameters. The benefit of the proposed method is demonstrated with regard to convergence r...
متن کاملIterative Operator Splitting Methods: Relation to Waveform Relaxation and Exponential Splitting Methods
In this paper we describe a technique for closed formulation of an iterative operator-splitting method and embed the method in the classical exponential splitting methods. Since iterative operator splitting have been developed, an abstract framework to relate the method to other classical splitting methods is needed. Here an abstract framework considering the iterative splitting method as wavef...
متن کاملIterative Operator-Splitting Methods for Stiff Problems in Complex Applications
In this paper we deal with the Landau-LifshitzGilbert equation which describes dynamics of ferromagnetism. Based on the strong nonlinearities a stabilised discretisation method is necessary to skip the time-step restriction. In this paper we propose a implicit full discrete scheme with an embedded operatorsplitting method.
متن کاملConsistency of Iterative Operator-Splitting Methods: Theory and Applications
In this paper we describe a different operator-splitting method for decoupling complex equations with multi-dimensional and multiphysical processes for applications for porous media and phase-transitions. We introduce different operator-splitting methods with respect to their usability and applicability in computer codes. The error-analysis for the iterative operator-splitting methods is discus...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2011
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2011/193781