1 citations · 2 across the 10 of their papers we have counts for
12 papers
Multimodal LLMs Can Learn to Read Brain Signals: A Vision--Language Model for Unified Multi-Task EEG Decoding
Parastoo Azizeddin, Omid Sharafi, Maryam M. Shanechi
Learning EEG representations that generalize across cognitive tasks, subjects, and recording conditions remains a key challenge in electroencephalography (EEG) decoding. Recent adv…
A Convergent Hybridizable Discontinuous Galerkin Method for Einstein--Scalar Equations
Mukul Dwivedi, Andreas Rupp
We propose and analyze a hybridized discontinuous Galerkin (HDG) method for the spherically symmetric Einstein--scalar system in Bondi gauge. After rewriting the model as a local f…
A Galerkin Finite Element Method for the Fractional Calderón Problem
Mukul Dwivedi, Jesse Railo, Andreas Rupp
We study a numerical reconstruction strategy for the potential in the fractional Calderón problem from a single partial exterior measurement. The forward model is the fractional Sc…
A hybridizable discontinuous Galerkin method for the Ostrovsky equation
Mukul Dwivedi, Andreas Rupp
This paper develops the hybridizable discontinuous Galerkin (HDG) method for the Ostrovsky equation, a nonlinear dispersive wave equation featuring both third-order dispersion and…
A Hybridizable Discontinuous Galerkin Method for the non--local Camassa--Holm--Kadomtsev--Petviashvili equation
Mukul Dwivedi, Ruben Gutendorf, Andreas Rupp
This paper develops a hybridizable discontinuous Galerkin method for the two-dimensional Camassa--Holm--Kadomtsev--Petviashvili equation. The method employs Cartesian meshes with t…
A numerical method for the fractional Zakharov-Kuznetsov equation
Mukul Dwivedi, Andreas Rupp
This paper develops a fully discrete Fourier spectral Galerkin (FSG) method for the fractional Zakharov--Kuznetsov (fZK) equation posed on a two-dimensional periodic domain. The eq…
A convergent Fourier spectral Galerkin method for the fractional Camassa-Holm equation
Mukul Dwivedi, Andreas Rupp
We analyze a Fourier spectral Galerkin method for the fractional Camassa-Holm (fCH) equation involving a fractional Laplacian of exponent with periodic boundary condit…
Spectral Galerkin method for the zero dispersion limit of the fractional Korteweg-de Vries equation
Mukul Dwivedi, Tanmay Sarkar
We present a fully discrete Crank-Nicolson Fourier-spectral-Galerkin (FSG) scheme for approximating solutions of the fractional Korteweg-de Vries (KdV) equation, which involves a f…
Analysis of a local discontinuous Galerkin scheme for fractional Korteweg-de Vries equation
Mukul Dwivedi, Tanmay Sarkar
We propose a local discontinuous Galerkin (LDG) method for the fractional Korteweg-de Vries (KdV) equation, involving the fractional Laplacian with exponent in one and…
Fully discrete finite difference schemes for the Fractional Korteweg-de Vries equation
Mukul Dwivedi, Tanmay Sarkar
In this paper, we present and analyze fully discrete finite difference schemes designed for solving the initial value problem associated with the fractional Korteweg-de Vries (KdV)…
Convergence of a conservative Crank-Nicolson finite difference scheme for the KdV equation with smooth and non-smooth initial data
Mukul Dwivedi, Tanmay Sarkar
In this paper, we study the stability and convergence of a fully discrete finite difference scheme for the initial value problem associated with the Korteweg-De Vries (KdV) equatio…
Stability and Convergence analysis of a Crank-Nicolson Galerkin scheme for the fractional Korteweg-de Vries equation
Mukul Dwivedi, Tanmay Sarkar
In this paper we study the convergence of a fully discrete Crank-Nicolson Galerkin scheme for the initial value problem associated with the fractional Korteweg-de Vries (KdV) equat…