Comparison of high-order Eulerian methods for electron hybrid model

DOI10.1016/j.jcp.2021.110857OpenAlexW3213254908MaRDI QIDQ2134781

Josselin Massot, Anaïs Crestetto, Yingzhe Li, Nicolas Crouseilles

Publication date: 3 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-03418778/file/vmhl_1d_3v_submit.pdf

zbMATH Keywords

adaptive time steppingVlasov equationsHamiltonian spittingLawson schemes

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)

Related Items (2)

Structure-preserving discretizations for nonlinear systems of hyperbolic, involution-constrained partial differential equations on manifolds. Abstracts from the workshop held April 10--16, 2022 ⋮ Exponential DG methods for Vlasov equations

Uses Software

• GEMPIC

Cites Work

• High-order Hamiltonian splitting for the Vlasov-Poisson equations
• Hamiltonian splitting for the Vlasov-Maxwell equations
• Embedded Runge-Kutta scheme for step-size control in the interaction picture method
• The Hamiltonian structure of the Maxwell-Vlasov equations
• A family of embedded Runge-Kutta formulae
• Energy-conserving time propagation for a structure-preserving particle-in-cell Vlasov-Maxwell solver
• Exponential methods for solving hyperbolic problems with application to collisionless kinetic equations
• Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium
• Solving the Vlasov-Maxwell equations using Hamiltonian splitting
• Structure-preserving vs. standard particle-in-cell methods: the case of an electron hybrid model
• Numerical simulations of one laser-plasma model based on Poisson structure
• Splitting and composition methods with embedded error estimators
• Exponential integrators
• New Runge-Kutta algorithms for numerical simulation in dynamical astronomy
• Strong Stability Preserving Integrating Factor Runge--Kutta Methods
• Hamiltonian approach to hybrid plasma models
• Geometric Numerical Integration
• An Order Six Runge-Kutta Process with Extended Region of Stability
• On the Construction and Comparison of Difference Schemes
• Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
• Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

This page was built for publication: Comparison of high-order Eulerian methods for electron hybrid model