3 papers
cs.CE2025
Flux-Preserving Adaptive Finite State Projection for Multiscale Stochastic Reaction Networks
Aditya Dendukuri, Shivkumar Chandrasekaran, Linda Petzold
The Finite State Projection (FSP) method approximates the Chemical Master Equation (CME) by restricting the dynamics to a finite subset of the (typically infinite) state space, ena…
cs.CE2025
MNO : A Multi-modal Neural Operator for Parametric Nonlinear BVPs
Vamshi C. Madala, Nithin Govindarajan, Shivkumar Chandrasekaran
We introduce a novel Multimodal Neural Operator (MNO) architecture designed to learn solution operators for multi-parameter nonlinear boundary value problems (BVPs). Traditional ne…
math.NA2024
Tree quasi-separable matrices: a simultaneous generalization of sequentially and hierarchically semi-separable representations
Nithin Govindarajan, Shivkumar Chandrasekaran, Patrick Dewilde
We present a unification and generalization of what is known in the literature as sequentially and hierarchically semi-separable (SSS and HSS) representations for matrices. Describ…