arXiv subjects

Mangala Prasad

Publications and source records attributed to Mangala Prasad.

4 recordsLinked to original sources

arXiv2025

Strong convergence of finite element approximations for a fourth-order stochastic pseudo-parabolic equation with additive noise

In this article, we analyze semi-discrete finite element approximation and full discretization of a fourth-order stochastic pseudo-parabolic equation in a bounded convex polygonal domain driven by additive Wiener noise. We use the finite element method for spatial discretization and the semi-implicit method for temporal discretization, and obtain strong convergence rates with respect to both the spatial and temporal mesh sizes. Numerical experiments are presented to support the theoretical convergence rates.

math.NA↗

arXiv2025

Full Discretization of Stochastic Semilinear Schrödinger equation driven by multiplicative Wiener noise

In this article, we have analyzed the full discretization of the Stochastic semilinear Schrödinger equation in a bounded convex polygonal domain driven by multiplicative Wiener noise. We use the finite element method for spatial discretization and the stochastic trigonometric method for time discretization and derive a strong convergence rate with respect to both parameters (temporal and spatial). Numerical experiments have also been performed to support theoretical bounds.

math.NA↗

arXiv2025

Weak Convergence of Finite Element Approximations of Stochastic Linear Schrödinger equation driven by additive Wiener noise

A standard finite element method discretizes the stochastic linear Schrödinger equation driven by additive noise in the spatial variables. The weak convergence of the resulting approximate solution is analyzed, and it is established that the weak convergence rate is twice that of the strong convergence.

math.PR↗

arXiv2024

Finite Element Approximations of Stochastic Linear Schr\"{o}dinger equation driven by additive Wiener noise

In this article, we have analyzed semi-discrete finite element approximations of the Stochastic linear Schr\"{o}dinger equation in a bounded convex polygonal domain driven by additive Wiener noise. We use the finite element method for spatial discretization and derive an error estimate with respect to the discretization parameter of the finite element approximation. Numerical experiments have also been performed to support theoretical bounds.

math.NA↗