1 citations · 2 across the 10 of their papers we have counts for
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A Numerical Method for the Fractional Semilinear Calderón Problem
Mukul Dwivedi, Jesse Railo, Andreas Rupp
We present a finite element method for reconstructing a coefficient in a fractional semilinear equation from a single exterior measurement.
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…