High order IMEX stochastic Galerkin schemes for linear transport equation with random inputs and diffusive scalings
DOI10.1007/s42967-023-00249-xMaRDI QIDQ6537183
Publication date: 14 May 2024
Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)
linear transport equationsgeneralized polynomial approachstochastic asymptotic-preserving propertystochastic Galerkin scheme
Asymptotic behavior of solutions to PDEs (35B40) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) PDEs with randomness, stochastic partial differential equations (35R60) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical schemes of diffusion asymptotics and moment closures for kinetic equations
- High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling
- High order asymptotic preserving nodal discontinuous Galerkin IMEX schemes for the BGK equation
- Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings
- A fast implicit solver for semiconductor models in one space dimension
- Numerical solutions of partial differential equations
- Efficient stochastic Galerkin methods for random diffusion equations
- Uncertainty quantification for kinetic equations
- DG-IMEX stochastic Galerkin schemes for linear transport equation with random inputs and diffusive scalings
- Uniform spectral convergence of the stochastic Galerkin method for the linear semiconductor Boltzmann equation with random inputs and diffusive scaling
- Solving the linear transport equation by a deep neural network approach
- Stochastic Galerkin methods for the Boltzmann-Poisson system
- Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling
- A stochastic asymptotic-preserving scheme for the bipolar semiconductor Boltzmann-Poisson system with random inputs and diffusive scalings
- Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition-based asymptotic-preserving method
- Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics
- Asymptotic-preserving Projective Integration Schemes for Kinetic Equations in the Diffusion Limit
- Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling
- An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
- Study of Discrete Scattering Operators for Some Linear Kinetic Models
- Efficient Stochastic Asymptotic-Preserving Implicit-Explicit Methods for Transport Equations with Diffusive Scalings and Random Inputs
- Hypocoercivity Based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs
- Methods for hyperbolic systems with stiff relaxation
- On the multi-species Boltzmann equation with uncertainty and its stochastic Galerkin approximation
- MATHEMATICAL ANALYSIS AND NUMERICAL METHODS FOR MULTISCALE KINETIC EQUATIONS WITH UNCERTAINTIES
- A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
- Multiscale convergence properties for spectral approximations of a model kinetic equation
- Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments
- Asymptotic-preserving schemes for multiscale physical problems
This page was built for publication: High order IMEX stochastic Galerkin schemes for linear transport equation with random inputs and diffusive scalings