2 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Enhancing Arterial Blood Flow Simulations through Physics-Informed Neural Networks
Shivam Bhargava, Nagaiah Chamakuri
This study introduces a computational approach leveraging Physics-Informed Neural Networks (PINNs) for the efficient computation of arterial blood flows, particularly focusing on s…
Reliable A Posteriori Error Estimator for a Multi-scale Cancer Invasion Model
Gopika P. B., Nishant Ranwan, Nagaiah Chamakuri
In this work, we analyze the residual-based a posteriori error estimation of the multi-scale cancer invasion model, which is a system of three non-stationary reaction-diffusion equ…