3 papers
math.NA2026
Nonlinear Parareal-Incomplete OSWR Method for the Coupled Reaction-Diffusion System: Convergence Analysis and Computational Strategies
Gobinda Garai, Nagaiah Chamakuri
This paper presents a development of a nonlinear extension of the Parareal-Incomplete Optimized Schwarz Waveform Relaxation (OSWR) method, aimed at efficiently simulating coupled r…
math.NA2026
Exp-ParaDiag: Time-Parallel Exponential Integrators for Parabolic PDEs
Gobinda Garai, Nagaiah Chamakuri
This paper introduces Exp-ParaDiag, a novel time-parallel method that combines the strength of exponential integrators into the ParaDiag framework. We develop and analyze Exp-ParaD…
math.NA2025
On conservative, stable boundary and coupling conditions for diffusion equations I -- The conservation property for explicit schemes
Taj Munir, Nagaiah Chamakuri, Gerald Warnecke
This paper introduces improved numerical techniques for addressing numerical boundary and interface coupling conditions in the context of diffusion equations in cellular biophysics…