Abstract. We treat the time discretization of an initial-value problem for a homogeneous abstract parabolic equation by first using a representation of the solution as an integral along the boundary of a sector in the right half of the complex plane, then transforming this into a real integral on the finite interval [0, 1], and finally applying a standard quadrature formula to this integral. The method requires the solution of a finite set of elliptic problems with complex coefficients, which are independent and may therefore be done in parallel. The method is combined with spatial discretization by finite elements. 1
We set an algorithm for the complete discretization of parabolic problems combining the finite eleme...
International audienceThe purpose of this Note is to propose a time discretization of a partial diff...
In time-dependent boundary integral equations, a boundary element me\-thod in space can be coupled w...
We treat the time discretization of an initial-value problem for a homogeneous abstract parabolic eq...
Abstract. We consider the discretization in time of a parabolic equation, using a representation of ...
parallel method for time discretization of parabolic equations based on Laplace transformation and q...
We consider the discretization in time of an inhomogeneous parabolic integro-differential equation, ...
We propose a method to construct numerical solutions of a parabolic equation on the unit sphere. Th...
Following earlier work by Sheen, Sloan, and Thomée concerning parabolic equations we study the discr...
1 Introduction The numerical solution of parabolic evolution problems by Finite Elements in a domain...
Provides insight in to the mathematics of Galerkin finite element method as applied to parabolic equ...
In this paper, we develop a time and its corresponding spatial discretization scheme, based upon the...
In earlier work we have studied a method for discretization in time of a parabolic problem, which co...
summary:We present a parallel solution algorithm for the transient heat equation in one and two spat...
In earlier work we have studied a method for discretization in time of a parabolic problem, which co...
We set an algorithm for the complete discretization of parabolic problems combining the finite eleme...
International audienceThe purpose of this Note is to propose a time discretization of a partial diff...
In time-dependent boundary integral equations, a boundary element me\-thod in space can be coupled w...
We treat the time discretization of an initial-value problem for a homogeneous abstract parabolic eq...
Abstract. We consider the discretization in time of a parabolic equation, using a representation of ...
parallel method for time discretization of parabolic equations based on Laplace transformation and q...
We consider the discretization in time of an inhomogeneous parabolic integro-differential equation, ...
We propose a method to construct numerical solutions of a parabolic equation on the unit sphere. Th...
Following earlier work by Sheen, Sloan, and Thomée concerning parabolic equations we study the discr...
1 Introduction The numerical solution of parabolic evolution problems by Finite Elements in a domain...
Provides insight in to the mathematics of Galerkin finite element method as applied to parabolic equ...
In this paper, we develop a time and its corresponding spatial discretization scheme, based upon the...
In earlier work we have studied a method for discretization in time of a parabolic problem, which co...
summary:We present a parallel solution algorithm for the transient heat equation in one and two spat...
In earlier work we have studied a method for discretization in time of a parabolic problem, which co...
We set an algorithm for the complete discretization of parabolic problems combining the finite eleme...
International audienceThe purpose of this Note is to propose a time discretization of a partial diff...
In time-dependent boundary integral equations, a boundary element me\-thod in space can be coupled w...