Anti-symmetric and positivity preserving formulation of a spectral method for Vlasov-Poisson equations (Q6589934)

scientific article; zbMATH DE number 7899021

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English	Anti-symmetric and positivity preserving formulation of a spectral method for Vlasov-Poisson equations	scientific article; zbMATH DE number 7899021

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instance of

scholarly article

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title

Anti-symmetric and positivity preserving formulation of a spectral method for Vlasov-Poisson equations (English)

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Journal of Computational Physics

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publication date

20 August 2024

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zbMATH Keywords

Vlasov-Poisson equations

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spectral methods

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conservation laws

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anti-symmetry

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Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I

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A Technique for Accelerating the Convergence of Restarted GMRES

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High-Order Accurate Conservative Finite Difference Methods for Vlasov Equations in 2D+2V

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On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system

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Q5447503

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A 3(2) pair of Runge-Kutta formulas

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On the velocity space discretization for the Vlasov-Poisson system: comparison between implicit Hermite spectral and particle-in-cell methods

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The recurrence of the initial state in the numerical solution of the Vlasov equation

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Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system

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Computationally efficient high-fidelity plasma simulations by coupling multi-species kinetic and multi-fluid models on decomposed domains

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Multi-dimensional, fully-implicit, spectral method for the Vlasov-Maxwell equations with exact conservation laws in discrete form

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$\delta f$ algorithm

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Filtered hyperbolic moment method for the Vlasov equation

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Convergence of a Finite Volume Scheme for the Vlasov--Poisson System

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Q4199478

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On the kinetic theory of rarefied gases

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Hamiltonian particle-in-cell methods for Vlasov-Poisson equations

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Geometric Numerical Integration

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Simulations of plasmas and fluids using anti-symmetric models

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A discontinuous Galerkin method for the Vlasov-Poisson system

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On numerical methods for Hamiltonian PDEs and a collocation method for the Vlasov-Maxwell equations

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Spectral velocity discretizations for the Vlasov-Maxwell equations

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Computing nearly singular solutions using pseudo-spectral methods

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Discontinuous Galerkin algorithms for fully kinetic plasmas

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A splitting algorithm for Vlasov simulation with filamentation filtration

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Jacobian-free Newton-Krylov methods: a survey of approaches and applications.

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Energy-conserving time propagation for a structure-preserving particle-in-cell Vlasov-Maxwell solver

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A generalized Fourier-Hermite method for the Vlasov-Poisson system

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The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations

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Variational integrators for reduced magnetohydrodynamics

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Q5844186

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Plasma Oscillations with Diffusion in Velocity Space

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Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains

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Q5518575

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A Legendre-Fourier spectral method with exact conservation laws for the Vlasov-Poisson system

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Convergence of Spectral Discretizations of the Vlasov--Poisson System

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Hamiltonian description of the ideal fluid

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A 4th-Order Particle-in-Cell Method with Phase-Space Remapping for the Vlasov--Poisson Equation

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Physics-based adaptivity of a spectral method for the Vlasov-Poisson equations based on the asymmetrically-weighted Hermite expansion in velocity space

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Energy-conserving explicit and implicit time integration methods for the multi-dimensional Hermite-DG discretization of the Vlasov-Maxwell equations

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An introduction to partial differential equations

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Approximate Riemann solvers, parameter vectors, and difference schemes

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GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

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Vlasov simulations using velocity-scaled Hermite representations

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Finite dimensional lie‐poisson approximations to vlasov‐poisson equations

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Quadratic conservative scheme for relativistic Vlasov-Maxwell system

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Numerical integration of the Vlasov equation

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A fully implicit, conservative, non-linear, electromagnetic hybrid particle-ion/fluid-electron algorithm

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The Hermite Spectral Method for Gaussian-Type Functions

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Conservative fourth-order finite-volume Vlasov-Poisson solver for axisymmetric plasmas in cylindrical ($r,v_r,v_\theta$) phase space coordinates

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A Particle-in-cell Method with Adaptive Phase-space Remapping for Kinetic Plasmas

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Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system

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A finite element code for the simulation of one-dimensional Vlasov plasmas. II: Applications

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A finite element code for the simulation of one-dimensional Vlasov plasmas. I: Theory

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Identifiers

DOI

10.1016/j.jcp.2024.113263

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6589934