Cover Image

Reduced Particle in Cell method for the Vlasov-Poisson system using auto-encoder and Hamiltonian neural

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Franck, Emmanuel, Navoret, Laurent, Vigon, Vincent, Côte, Raphaël, Steimer, Guillaume
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Hamiltonian reduction using a convolutional auto-encoder coupled to an Hamiltonian neural network
by: Côte, Raphaël, et al.
Published: (2023)

Neural semi-Lagrangian method for high-dimensional advection-diffusion problems
by: Franck, Emmanuel, et al.
Published: (2025)

Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators
by: Aghili, Joubine, et al.
Published: (2024)

Neural non-canonical Hamiltonian dynamics for long-time simulations
by: Courtès, Clémentine, et al.
Published: (2025)

Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks
by: Franck, Emmanuel, et al.
Published: (2023)

Fourth-order entropy-stable lattice Boltzmann schemes for hyperbolic systems
by: Bellotti, Thomas, et al.
Published: (2024)

Asymptotically stable Particle-in-Cell methods for the magnetized Vlasov--Poisson equations in orthogonal curvilinear coordinates
by: Gu, Anjiao, et al.
Published: (2023)

Solving Vlasov-Poisson system with an adaptive Hermite spectral method
by: Shao, Sihong, et al.
Published: (2026)

From flocking to jamming in collective cell dynamics: a Vicsek-like model including contact forces
by: Navoret, Laurent, et al.
Published: (2025)

A split-step Active Flux method for the Vlasov-Poisson system
by: Hensel, Lukas, et al.
Published: (2024)

Discrete hypocoercive estimates for discontinuous Galerkin methods: application to the Vlasov-Poisson-Fokker-Planck system
by: Cai, Yi, et al.
Published: (2026)

Asymptotic-preserving particle-in-cell method for the magnetized Vlasov--Poisson--Fokker--Planck equation
by: Gu, Anjiao, et al.
Published: (2025)

The positivity-preserving high-order semi-Lagrangian spectral volume method for Vlasov-Poisson equations
by: Zhang, Xinyue, et al.
Published: (2025)

Convergence of an Eulerian scheme for the Vlasov-Poisson-BGK model
by: Cho, Seung Yeon, et al.
Published: (2026)

What metric to optimize for suppressing instability in a Vlasov-Poisson system?
by: Guerra, Martin, et al.
Published: (2025)

The Linearized Vlasov-Maxwell System as a Hamiltonian System
by: Bell, Dominik, et al.
Published: (2025)

Particle method and quantization-based schemes for the simulation of the McKean-Vlasov equation
by: Liu, Yating
Published: (2022)

A modified Crank-Nicolson scheme for the Vlasov-Poisson system with a strong external magnetic field
by: Filbet, Francis, et al.
Published: (2025)

An anisotropic nonlinear stabilization for finite element approximation of Vlasov-Poisson equations
by: Wen, Junjie, et al.
Published: (2025)

Asymptotic-preserving conservative semi-Lagrangian discontinuous Galerkin schemes for the Vlasov-Poisson system in the quasi-neutral limit
by: Cai, Xiaofeng, et al.
Published: (2025)

Sparse-grid Discontinuous Galerkin Methods for the Vlasov-Poisson-Lenard-Bernstein Model
by: Schnake, Stefan, et al.
Published: (2024)

A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model
by: Blaustein, Alain, et al.
Published: (2023)

Numerical Error Analysis of the Poisson Equation under RHS Inaccuracies in Particle-in-Cell Simulations
by: Zhang, Kai, et al.
Published: (2025)

Volume-preserving geometric shape optimization of the Dirichlet energy using variational neural networks
by: Bélières--Frendo, Amaury, et al.
Published: (2024)

Extending the Numerical Flow Iteration to the multi-species Vlasov-Maxwell system through Hamiltonian Splitting
by: Wilhelm, Rostislav-Paul, et al.
Published: (2025)

A global structure-preserving kernel method for the learning of Poisson systems
by: Hu, Jianyu, et al.
Published: (2025)

Particle Method for the McKean-Vlasov equation with common noise
by: Gall, Théophile Le
Published: (2024)

A high-order energy-conserving semi-Lagrangian discontinuous Galerkin method for the Vlasov-Ampere system
by: Cai, Xiaofeng, et al.
Published: (2025)

Control of Instability in a Vlasov-Poisson System Through an External Electric Field
by: Einkemmer, Lukas, et al.
Published: (2024)

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems
by: Liu, Hailiang, et al.
Published: (2025)

φ-FD : A well-conditioned finite difference method inspired by φ-FEM for general geometries on elliptic PDEs
by: Duprez, Michel, et al.
Published: (2024)

Reduced Basis method for finite volume simulations of parabolic PDEs applied to porous media flows
by: Tarhini, Jana, et al.
Published: (2024)

Development of discontinuous Galerkin methods for hyperbolic systems that preserve a curl or a divergence constraint: the case of linear systems
by: Perrier, Vincent
Published: (2024)

Block encoding with low gate count for second-quantized Hamiltonians
by: Liu, Diyi, et al.
Published: (2025)

Semi-Lagrangian Discontinuous Galerkin Method with Adaptive Mesh Refinement for the Vlasov--Poisson System in 1X+3V
by: Adams, Mark F.
Published: (2026)

A dynamic domain semi-Lagrangian method for stochastic Vlasov equations
by: Cui, Jianbo, et al.
Published: (2025)

Energy-preserving integration of non-canonical Hamiltonian systems by continuous-stage methods
by: Tang, Wensheng
Published: (2018)

Explicit relaxation Particle-in-Cell methods for Vlasov-Poisson equations with a strong magnetic field
by: Wang, Lina, et al.
Published: (2026)

A Semi-Lagrangian Adaptive-Rank (SLAR) Method for Linear Advection and Nonlinear Vlasov-Poisson System
by: Zheng, Nanyi, et al.
Published: (2024)

Quantum medical image encoding and compression using Fourier-based methods
by: Ko, Taehee, et al.
Published: (2025)