Iterative Splitting Methods for Differential Equations explains how to solve evolution equations via novel iterative-based splitting methods that efficiently use computational and memory resources. It focuses on systems of parabolic and hyperbolic equations, including convection-diffusion-reaction equations, heat equations, and wave equations. In the theoretical part of the book, the author discusses the main theorems and results of the stability and consistency analysis for ordinary differential equations. He then presents extensions of the iterative splitting methods to partial differentia
In this paper we describe an iterative operator-splitting method for bounded operators. Our contribu...
Using composition procedures, we build up high order splitting methods to solve evolution equations ...
Thesis (Ph.D.), Department of Mathematics, Washington State UniversityThis dissertation presents a r...
In this paper, we contribute waveform relaxation and iterative splitting methods for sys-tems of par...
In this paper we describe an iterative operator-splitting method for bounded operators. Our contribu...
In this paper we describe an iterative operator-splitting method for bounded operators. Our contribu...
In this paper we consider time-decomposition methods and present interesting model problems as benc...
This article proposes adaptive iterative splitting methods to solve Multiphysics problems, which are...
Splitting methods constitute a class (numerical) schemes for solving initial value problems. Roughly...
Using composition procedures, we build up high order splitting methods to solve evolution equations ...
In this paper, we contribute waveform relaxation and iterative splitting methods for systems of para...
In this paper we concentrate on nonlinear iterative operator splitting methods for nonlinear differe...
In this paper, we contribute waveform relaxation and iterative splitting methods for systems of para...
In this paper, several splitting methods are discussed which can be used to solve fourth order parab...
Abstract. In this paper we describe an iterative operator-splitting method for bounded operators. Th...
In this paper we describe an iterative operator-splitting method for bounded operators. Our contribu...
Using composition procedures, we build up high order splitting methods to solve evolution equations ...
Thesis (Ph.D.), Department of Mathematics, Washington State UniversityThis dissertation presents a r...
In this paper, we contribute waveform relaxation and iterative splitting methods for sys-tems of par...
In this paper we describe an iterative operator-splitting method for bounded operators. Our contribu...
In this paper we describe an iterative operator-splitting method for bounded operators. Our contribu...
In this paper we consider time-decomposition methods and present interesting model problems as benc...
This article proposes adaptive iterative splitting methods to solve Multiphysics problems, which are...
Splitting methods constitute a class (numerical) schemes for solving initial value problems. Roughly...
Using composition procedures, we build up high order splitting methods to solve evolution equations ...
In this paper, we contribute waveform relaxation and iterative splitting methods for systems of para...
In this paper we concentrate on nonlinear iterative operator splitting methods for nonlinear differe...
In this paper, we contribute waveform relaxation and iterative splitting methods for systems of para...
In this paper, several splitting methods are discussed which can be used to solve fourth order parab...
Abstract. In this paper we describe an iterative operator-splitting method for bounded operators. Th...
In this paper we describe an iterative operator-splitting method for bounded operators. Our contribu...
Using composition procedures, we build up high order splitting methods to solve evolution equations ...
Thesis (Ph.D.), Department of Mathematics, Washington State UniversityThis dissertation presents a r...