1 citations · 2 across the 7 of their papers we have counts for
8 papers
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…
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…
Minimal Rank Completions for Overlapping Blocks
Ethan N. Epperly, Nithin Govindarajan, Shivkumar Chandrasekaran
We consider the multi-objective optimization problem of choosing the bottom left block-entry of a block lower triangular matrix to minimize the ranks of all block sub-matrices. We…
Graph-Induced Rank Structures and their Representations
Shivkumar Chandrasekaran, Ethan N. Epperly, Nithin Govindarajan
A new framework is proposed to study rank-structured matrices arising from discretizations of 2D and 3D elliptic operators. In particular, we introduce the notion of a graph-induce…
Fast Algorithms for Displacement and Low-Rank Structured Matrices
Shivkumar Chandrasekaran, Nithin Govindarajan, Abhejit Rajagopal
This tutorial provides an introduction to the development of fast matrix algorithms based on the notions of displacement and various low-rank structures.
On the approximation of Koopman spectra of measure-preserving flows
Nithin Govindarajan, Ryan Mohr, Shivkumar Chandrasekaran +1
The method of using periodic approximations to compute the spectral decomposition of the Koop- man operator is generalized to the class of measure-preserving flows on compact metri…
On the approximation of Koopman spectra for measure preserving transformations
Nithin Govindarajan, Ryan Mohr, Shivkumar Chandrasekaran +1
For the class of continuous, measure-preserving automorphisms on compact metric spaces, a procedure is proposed for constructing a sequence of finite-dimensional approximations to…
An operator-theoretic viewpoint to non-smooth dynamical systems: Koopman analysis of a hybrid pendulum
Nithin Govindarajan, Hassan Arbabi, Louis van Blargian +3
We apply an operator-theoretic viewpoint to a class of non-smooth dynamical systems that are exposed to event-triggered state resets. The considered benchmark problem is that of a…