A Positive and Moment-Preserving Fourier Spectral Method
From MaRDI portal
Publication:6154535
DOI10.1137/23m1563918arXiv2304.11847MaRDI QIDQ6154535
Meixia Lin, Bo Lin, Zhenning Cai
Publication date: 15 February 2024
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.11847
Convex programming (90C25) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for trigonometric approximation and interpolation (65T40)
Cites Work
- Unnamed Item
- Unnamed Item
- Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states
- Moment closure hierarchies for kinetic theories.
- A new Lagrange multiplier approach for constructing structure preserving schemes. I: Positivity preserving
- Strong Stability-Preserving High-Order Time Discretization Methods
- On the stability of spectral methods for the homogeneous Boltzmann equation
- DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS
- Analysis of spectral methods for the homogeneous Boltzmann equation
- Positive $P_N$ Closures
- Löwner's Operator and Spectral Functions in Euclidean Jordan Algebras
- Maximisation of the entropy in non-equilibrium
- Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory
- Exact solutions of the Boltzmann equation
- Numerical Optimization
- Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator
- Convergence and Error Estimates for the Lagrangian-Based Conservative Spectral Method for Boltzmann Equations
- Numerical methods for kinetic equations
- An Entropic Fourier Method for the Boltzmann Equation
- ON AN EXTREMAL PROBLEM FOR POLYNOMIALS INnVARIABLES
- Classical and Multilinear Harmonic Analysis
- An Entropic Method for Discrete Systems with Gibbs Entropy
- Proximité et dualité dans un espace hilbertien
- A New Stability and Convergence Proof of the Fourier--Galerkin Spectral Method for the Spatially Homogeneous Boltzmann Equation
- Moment Preserving Fourier–Galerkin Spectral Methods and Application to the Boltzmann Equation
- Convergence of a discrete-velocity model for the Boltzmann-BGK equation