Abstract: In this paper, we present a high order unconditionally stable implicit scheme for diffusion equations. Based on the scheme a class of parallel alternating group explicit method is derived, and stability analysis is given. Then we present another parallel alternating group explicit iterative method, and finish the convergence analysis. Numerical experiments show that the two methods are of higher accuracy than the original alternating group method. Key–Words: diffusion equation, parallel computation, finite difference, iterative method, alternating group
AbstractThis paper is concerned with parallel alternating-type iterative methods for solving large s...
We use an unconditionally stable parallel difference scheme to solve telegraph equation. This method...
We study time parallelism for the numerical solution of nonstiff ordinary differential equations. St...
Abstract:- Based on the concept of decomposition, two alternating group explicit methods are constr...
Abstract: In this paper, based on the concept of domain decomposition and alternating group, we cons...
Abstract: Based on the concept of domain decomposition we construct a class of alternating group exp...
Abstract: Based on the concept of alternating group and domain decomposition, we present a class of ...
The finite difference method such as alternating group iterative methods is useful in numerical meth...
Since most partial differential equations (PDEs) do not have exact solutions, they are usually solve...
Abstract: Two implicit algorithms are developed and realized in X-Y geometry for solving s...
Alternating-Direction Explicit (A.D.E.) finite-difference methods make use of two approximations tha...
The aim of this article is to describe the formulation of the quarter-sweep iterative alternating de...
This paper is concerned with parallel alternating-type iterative methods for solving large sparse li...
In this paper, the Saul’yev finite difference scheme for a fully nonlinear partial differential equa...
Alternating-Direction Explicit (A.D.E.) finite-difference methods make use of two approximations tha...
AbstractThis paper is concerned with parallel alternating-type iterative methods for solving large s...
We use an unconditionally stable parallel difference scheme to solve telegraph equation. This method...
We study time parallelism for the numerical solution of nonstiff ordinary differential equations. St...
Abstract:- Based on the concept of decomposition, two alternating group explicit methods are constr...
Abstract: In this paper, based on the concept of domain decomposition and alternating group, we cons...
Abstract: Based on the concept of domain decomposition we construct a class of alternating group exp...
Abstract: Based on the concept of alternating group and domain decomposition, we present a class of ...
The finite difference method such as alternating group iterative methods is useful in numerical meth...
Since most partial differential equations (PDEs) do not have exact solutions, they are usually solve...
Abstract: Two implicit algorithms are developed and realized in X-Y geometry for solving s...
Alternating-Direction Explicit (A.D.E.) finite-difference methods make use of two approximations tha...
The aim of this article is to describe the formulation of the quarter-sweep iterative alternating de...
This paper is concerned with parallel alternating-type iterative methods for solving large sparse li...
In this paper, the Saul’yev finite difference scheme for a fully nonlinear partial differential equa...
Alternating-Direction Explicit (A.D.E.) finite-difference methods make use of two approximations tha...
AbstractThis paper is concerned with parallel alternating-type iterative methods for solving large s...
We use an unconditionally stable parallel difference scheme to solve telegraph equation. This method...
We study time parallelism for the numerical solution of nonstiff ordinary differential equations. St...