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January 17, 2026

High order Asymptotic-Preserving penalized numerical schemes for the Euler-Poisson system in the quasineutral limit

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Authors

NCNicolas CrouseillesGDGiacomo DimarcoSSSaurav Samantaray

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Overview

This work develops a new numerical method to handle quasineutrality in plasmas, indicating improvements in simulation stability.

Key Points

  • The aim is to develop numerical methods that effectively manage quasineutrality and charge separation in plasmas.
  • Introduced finite volume penalized IMEX Runge-Kutta methods.
  • Analyzed stability regarding the Debye length.
  • Designed to operate effectively in the quasineutral limit.
  • Proposed schemes are uniformly stable regarding small scales.
  • Methods transition into high order as quasineutrality is approached.
  • Numerical tests confirm the desired stability and performance properties.

Cite This Study

Crouseilles et al. (2026) studied this question.

synapsesocial.com/papers/696b2616d2a12237a9349622https://doi.org/10.1051/m2an/2026004/pdf
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Stability in Quasineutral Plasmas with Thermalized Electrons2026
  2. 2Imposing quasineutrality on electrostatic plasmas via the Dirac theory of constraints2026
  3. 3Critical thresholds in pressureless Euler--Poisson equations with background states2024
  4. 4Euler Method for a Class of Linear Impulsive Neutral Differential Equations2024 · 1 citations
  5. 5The existence and asymptotic stability of Plasma-Sheaths to the full Euler-Poisson system2024