AbstractWe analyze probabilistic convergences of random Galerkin approximations for a heat equation with a random initial condition.Almost sure L2-convergence results for both continuous time and discrete time Galerkin approximations are obtained by the Borel-Cantelli's lemma. A criterion for determining the sample size is suggested
The subject of this work is at the intersection of two branches of mathematics: mathematical physics...
This paper is concerned with the initial-boundary value problems of scalar transport equations with ...
We consider a kinetic-fluid model with random initial inputs which describes disperse two-phase flow...
AbstractWe analyze probabilistic convergences of random Galerkin approximations for a heat equation ...
Deterministic Galerkin approximations of a class of second order elliptic PDEs with random coefficie...
Deterministic Galerkin approximations of a class of second order elliptic PDEs with random coefficie...
AbstractIn this paper, we introduce a new sample size technique based on the distribution of prime n...
Ma T, Zhu R. Convergence Rate for Galerkin Approximation of the Stochastic Allen-Cahn Equations on 2...
In this work we consider quasi-optimal versions of the Stochastic Galerkin method for solving linear...
AbstractThis is a continuation of our previous work [3]. Convergent properties of the finite element...
We consider the Finite Element Solution of second order elliptic problems in a physical domain D ؿ R...
Existence and uniqueness for semilinear stochastic evolution equations with additive noise by means ...
AbstractAn iterative scheme for solving the random heat equation is proposed. Convergence of the met...
Numeric methods of approximation on an integral suggest, in a natural way, random methods of approxi...
We construct stochastic Galerkin approximations to the solution of a first order system of PDEs with...
The subject of this work is at the intersection of two branches of mathematics: mathematical physics...
This paper is concerned with the initial-boundary value problems of scalar transport equations with ...
We consider a kinetic-fluid model with random initial inputs which describes disperse two-phase flow...
AbstractWe analyze probabilistic convergences of random Galerkin approximations for a heat equation ...
Deterministic Galerkin approximations of a class of second order elliptic PDEs with random coefficie...
Deterministic Galerkin approximations of a class of second order elliptic PDEs with random coefficie...
AbstractIn this paper, we introduce a new sample size technique based on the distribution of prime n...
Ma T, Zhu R. Convergence Rate for Galerkin Approximation of the Stochastic Allen-Cahn Equations on 2...
In this work we consider quasi-optimal versions of the Stochastic Galerkin method for solving linear...
AbstractThis is a continuation of our previous work [3]. Convergent properties of the finite element...
We consider the Finite Element Solution of second order elliptic problems in a physical domain D ؿ R...
Existence and uniqueness for semilinear stochastic evolution equations with additive noise by means ...
AbstractAn iterative scheme for solving the random heat equation is proposed. Convergence of the met...
Numeric methods of approximation on an integral suggest, in a natural way, random methods of approxi...
We construct stochastic Galerkin approximations to the solution of a first order system of PDEs with...
The subject of this work is at the intersection of two branches of mathematics: mathematical physics...
This paper is concerned with the initial-boundary value problems of scalar transport equations with ...
We consider a kinetic-fluid model with random initial inputs which describes disperse two-phase flow...