3 papers
cs.LG2026
A Family of Adaptive Activation Functions for Mitigating Failure Modes in Physics-Informed Neural Networks
Krishna Murari
Physics-Informed Neural Networks(PINNs) are a powerful and flexible learning framework that has gained significant attention in recent years. It has demonstrated strong performance…
math.NA2025
A residual weighted physics informed neural network for forward and inverse problems of reaction diffusion equations
K. Murari, P. Roul, S. Sundar
In this work, we propose the Residual-Weighted Physics-Informed Neural Network (RW-PINN), a new method designed to enhance the accuracy of Physics-Informed Neural Network (PINN) ba…
math.NA2024
Physics informed neural network for forward and inverse radiation heat transfer in graded-index medium
K. Murari, S. Sundar
Radiation heat transfer in a graded-index medium often suffers accuracy problems due to the gradual changes in the refractive index. The finite element method, meshfree, and other…