activity
20182026
most citedFully Discrete Positivity-Preserving and Energy-Dissipating Schemes for Aggregation-Diffusion Equations with a Gradient Flow Structure

39 citations · 41 across the 10 of their papers we have counts for

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2 papers · 1 filter

math.NA2026

Explicit charge-conserving and modified energy-conserving PIC methods using the SAV approach

Chengyu Fan, Nicolas Crouseilles, Jingwei Hu

We develop explicit second-order particle-in-cell (PIC) methods for the Vlasov--Ampère and Vlasov--Maxwell systems using the scalar auxiliary variable (SAV) approach. Two schemes a…

math.NA2026

A Structure-Preserving Penalization Method for the Single-species Rosenbluth-Fokker-Planck Equation

Hamad El Kahza, Luis Chacón, William Taitano +2

The Rosenbluth-Fokker-Planck (RFP) equation describes Coulomb collisional dynamics within and across species in plasmas. It belongs to the broader class of anisotropic-diffusion-ad…