Add to ORKGAbstract. We consider the discretization in time of a parabolic equation, using a representation of the solution as an integral along a smooth curve in the complex left half plane. The integral is then evaluated to high accuracy by a quadrature rule. This reduces the problem to a finite set of elliptic equations, which may be solved in parallel. The procedure is combined with finite element discretization in the spatial variables. The method is also applied to some parabolic type evolution equations with memory. Key Words. Parabolic type, Laplace transform, parallel method and high order quadrature
International audienceThe purpose of this Note is to propose a time discretization of a partial diff...
Abstract In this paper, a new parallel algorithm for solving parabolic equations is proposed. The ne...
An efficient parallel multiscale numerical algorithm is proposed for a parabolic equation with rapid...
Abstract. We treat the time discretization of an initial-value problem for a homogeneous abstract pa...
parallel method for time discretization of parabolic equations based on Laplace transformation and q...
We treat the time discretization of an initial-value problem for a homogeneous abstract parabolic eq...
We consider the discretization in time of an inhomogeneous parabolic integro-differential equation, ...
Following earlier work by Sheen, Sloan, and Thomée concerning parabolic equations we study the discr...
We propose a method to construct numerical solutions of a parabolic equation on the unit sphere. Th...
1 Introduction The numerical solution of parabolic evolution problems by Finite Elements in a domain...
The standard numerical algorithms for solving parabolic partial differential equations are inherentl...
Provides insight in to the mathematics of Galerkin finite element method as applied to parabolic equ...
The numerical solution of a parabolic partial differential equation is usually calculated by a times...
In this paper, we develop a time and its corresponding spatial discretization scheme, based upon the...
Domain decomposition algorithms for parallel numerical solution of parabolic equations are studied f...
International audienceThe purpose of this Note is to propose a time discretization of a partial diff...
Abstract In this paper, a new parallel algorithm for solving parabolic equations is proposed. The ne...
An efficient parallel multiscale numerical algorithm is proposed for a parabolic equation with rapid...
Abstract. We treat the time discretization of an initial-value problem for a homogeneous abstract pa...
parallel method for time discretization of parabolic equations based on Laplace transformation and q...
We treat the time discretization of an initial-value problem for a homogeneous abstract parabolic eq...
We consider the discretization in time of an inhomogeneous parabolic integro-differential equation, ...
Following earlier work by Sheen, Sloan, and Thomée concerning parabolic equations we study the discr...
We propose a method to construct numerical solutions of a parabolic equation on the unit sphere. Th...
1 Introduction The numerical solution of parabolic evolution problems by Finite Elements in a domain...
The standard numerical algorithms for solving parabolic partial differential equations are inherentl...
Provides insight in to the mathematics of Galerkin finite element method as applied to parabolic equ...
The numerical solution of a parabolic partial differential equation is usually calculated by a times...
In this paper, we develop a time and its corresponding spatial discretization scheme, based upon the...
Domain decomposition algorithms for parallel numerical solution of parabolic equations are studied f...
International audienceThe purpose of this Note is to propose a time discretization of a partial diff...
Abstract In this paper, a new parallel algorithm for solving parabolic equations is proposed. The ne...
An efficient parallel multiscale numerical algorithm is proposed for a parabolic equation with rapid...