2 papers
math.NA2026
Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations
Ajeet Singh, Abhinav Jha
We develop and analyze a fully discrete scheme for the weakly damped semilinear wave equation that combines a Symmetric Interior Penalty Discontinuous Galerkin (SIPG) spatial discr…
cs.LG2025
PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models
Ajeet Singh, Ram Jiwari, Vikram +1
In this work, a physics-informed neural networks (PINNs) based algorithm is used for simulation of nonlinear 1D and 2D Burgers' type models. This scheme relies on a neural network…