5 citations · 5 across the 4 of their papers we have counts for
5 papers
Sharp Error Estimates for a Fully Discrete Finite Element Method for Semilinear SPDEs with Multiplicative Noise and Nonsmooth Initial Data
Jitendra Nath Naik, Lok Pati Tripathi
This article establishes sharp strong error estimates for the fully discrete approximation of semilinear parabolic stochastic partial differential equations (SPDEs) driven by multi…
Sharp Error Estimates for a Fully Discrete Approximation of Semilinear Stochastic Convection--Diffusion Equations with Additive Noise and Nonsmooth Initial Data
Jitendra Nath Naik, Lok Pati Tripathi
We establish sharp strong error estimates for a fully discrete approximation of semilinear stochastic convection--diffusion equations driven by additive noise subject to nonsmooth…
Existence, Uniqueness, and Pathwise Regularity for Multidimensional Semilinear SPDEs with Locally Lipschitz Coefficients and Rough Initial Data
Jitendra Nath Naik, Lok Pati Tripathi
We study multidimensional semilinear stochastic evolution equations driven by multiplicative noise and subject to rough initial data. The drift and diffusion coefficients are assum…
On a Non-Uniform -Robust IMEX-L1 Mixed FEM for Time-Fractional PIDEs
Lok Pati Tripathi, Aditi Tomar, Amiya K. Pani
A non-uniform implicit-explicit L1 mixed finite element method (IMEX-L1-MFEM) is investigated for a class of time-fractional partial integro-differential equations (PIDEs) with spa…
Optimal error analysis of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs
Aditi Tomar, Lok Pati Tripathi, Amiya K. Pani
Stability and optimal convergence analysis of a non-uniform implicit-explicit L1 finite element method (IMEX-L1-FEM) is studied for a class of time-fractional linear partial differ…