stochastic partial differential equations 2additive noise 1error analysis 1finite element method 1local Lipschitz conditions 1nonsmooth initial data 1rough initial data 1semilinear SPDEs 1well-posedness 1
From the 2 of 3 linked papers with an AI index.
3 papers
math.NA2026
Optimal Error Estimates of a Finite Element Method for Semilinear SPDEs with Additive Noise and Nonsmooth Initial Data
Jitendra Nath Naik, Lok Pati Tripathi
The paper analyzes strong error bounds for finite element spatial discretizations combined with a linearly implicit Euler time scheme applied to semilinear parabolic SPDEs with add…
math.AP2026
Existence, Uniqueness, and Pathwise Regularity for Multidimensional Semilinear SPDEs with Locally Lipschitz Coefficients and Rough Initial Data
Jitendra Nath Naik, Lok Pati Tripathi
The paper proves existence, uniqueness, and pathwise regularity for multidimensional semilinear stochastic PDEs with multiplicative noise, allowing locally Lipschitz coefficients a…
math.NA2024
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…