In this paper we consider a stochastic linear heat conduction problem that was reduced to a special weakly singular integral equation of the second kind. By using a practical variant of Galerkin boundary element method, circulant integral operators and the fractional spline wavelet bases, a new approach for solving of this problem is given. Numerical examples show that this approach is fast
This paper is devoted to the wavelet Galerkin method to solve the Fractional Riccati equation. To th...
An abstract interpretation of Rothe’s method for the discretization of evolution equations is deriv...
A finite element Galerkin spatial discretization together with a backward Euler scheme is implemente...
The aim of this paper is to approximate a stochastic integral with respect to a fractional Brownian ...
A novel wavelet-Galerkin method tailored to solve parabolic equations in finite domains is presented...
In this paper, we show how to use wavelet to discretize the boundary integral equations which are bo...
We consider the semilinear stochastic heat equation perturbed by additive noise. After time-discreti...
The numerical solution of weakly singular integral equation gives rise to linear systems by using fr...
A new numerical method for the identification of initial conditions in wave propagation or heat cond...
For a class of linear parabolic equations we propose a nonadaptive sparse space-time Galerkin least ...
AbstractWe present a new numerical method for the solution of partial differential equations in nons...
It is remarkably known that one of the difficulties encountered in a numerical method for hyperbolic...
We study a full discretization scheme for the stochastic linear heat equation\begin{equation*}\begin...
We derive an adaptive solver for random elliptic boundary value problems, using techniques from adap...
A class of linear elliptic Wick-stochastic boundary value problems is considere. The problems are fo...
This paper is devoted to the wavelet Galerkin method to solve the Fractional Riccati equation. To th...
An abstract interpretation of Rothe’s method for the discretization of evolution equations is deriv...
A finite element Galerkin spatial discretization together with a backward Euler scheme is implemente...
The aim of this paper is to approximate a stochastic integral with respect to a fractional Brownian ...
A novel wavelet-Galerkin method tailored to solve parabolic equations in finite domains is presented...
In this paper, we show how to use wavelet to discretize the boundary integral equations which are bo...
We consider the semilinear stochastic heat equation perturbed by additive noise. After time-discreti...
The numerical solution of weakly singular integral equation gives rise to linear systems by using fr...
A new numerical method for the identification of initial conditions in wave propagation or heat cond...
For a class of linear parabolic equations we propose a nonadaptive sparse space-time Galerkin least ...
AbstractWe present a new numerical method for the solution of partial differential equations in nons...
It is remarkably known that one of the difficulties encountered in a numerical method for hyperbolic...
We study a full discretization scheme for the stochastic linear heat equation\begin{equation*}\begin...
We derive an adaptive solver for random elliptic boundary value problems, using techniques from adap...
A class of linear elliptic Wick-stochastic boundary value problems is considere. The problems are fo...
This paper is devoted to the wavelet Galerkin method to solve the Fractional Riccati equation. To th...
An abstract interpretation of Rothe’s method for the discretization of evolution equations is deriv...
A finite element Galerkin spatial discretization together with a backward Euler scheme is implemente...