RESEARCH

Papers & Publications

A curated list of scientific papers, technical reports, and conference publications by GradusX and its founders.

2026

VR-PIC: An entropic variance-reduction method for particle-in-cell solutions of the Vlasov-Poisson equation

arXiv preprint

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2025

Data-Driven Discovery of PDEs via the Adjoint Method

Transactions on Machine Learning Research

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2024

Collision-based dynamics for multi-marginal optimal transport

arXiv preprint

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Optimal transportation by orthogonal coupling dynamics

arXiv preprint

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Wasserstein-penalized Entropy closure: A use case for stochastic particle methods

Journal of Computational Physics

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2023

A variance-reduced direct Monte Carlo simulation method for solving the Boltzmann equation over a wide range of rarefaction

Journal of Computational Physics

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Variance reduced particle solution of the Fokker-Planck equation with application to rarefied gas and plasma dynamics

Journal of Computational Physics

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MESSY Estimation: Maximum-Entropy based Stochastic and Symbolic densitY Estimation

Transactions on Machine Learning Research

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An efficient jump-diffusion approximation of the Boltzmann equation

Journal of Computational Physics

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2022

Linear and nonlinear excitation of TAE modes by external electromagnetic perturbations using ORB5

Plasma Physics and Controlled Fusion

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2021

Fokker-Planck-Poisson kinetics: multi-phase flow beyond equilibrium

Journal of Fluid Mechanics

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Coupling kinetic and continuum using data-driven maximum entropy distribution

Journal of Computational Physics

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Quasilinear treatment of wave-particle interactions in the electron cyclotron range and its implementation in a gyrokinetic code

Plasma Physics and Controlled Fusion

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2020

Gaussian Process Regression for Maximum Entropy Distribution

Journal of Computational Physics

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2019

Treatment of long-range interactions arising in the Enskog-Vlasov description of dense fluids

Journal of Computational Physics

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2017

A continuous stochastic model for non-equilibrium dense gases

Physics of Fluids

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Resolved simulations of single char particle combustion in a laminar flow field

Fuel

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