Stochastic Galerkin methods for the Boltzmann-Poisson system
From MaRDI portal
Publication:2157121
DOI10.1016/j.jcp.2022.111400OpenAlexW2982316346MaRDI QIDQ2157121
Clemens Heitzinger, José A. Morales Escalante
Publication date: 21 July 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.13525
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) Probabilistic methods, stochastic differential equations (65Cxx)
Cites Work
- Unnamed Item
- Unnamed Item
- A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano-devices
- Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings
- Uncertainty quantification for kinetic equations
- Uncertainty quantification in control problems for flocking models
- Multi-fidelity stochastic collocation method for computation of statistical moments
- Uncertainty quantification for hyperbolic and kinetic equations
- Uniform spectral convergence of the stochastic Galerkin method for the linear semiconductor Boltzmann equation with random inputs and diffusive scaling
- The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term
- Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: space-homogeneous case
- Polynomial chaos methods for hyperbolic partial differential equations. Numerical techniques for fluid dynamics problems in the presence of uncertainties
- A stochastic Galerkin method for the Boltzmann equation with uncertainty
- Robust Uncertainty Propagation in Systems of Conservation Laws with the Entropy Closure Method
- Handbook of Uncertainty Quantification
- Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations
- Uncertainty Propagation; Intrusive Kinetic Formulations of Scalar Conservation Laws
- Spectral Methods for Uncertainty Quantification
- A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- An Asymptotic-Preserving Stochastic Galerkin Method for the Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings
This page was built for publication: Stochastic Galerkin methods for the Boltzmann-Poisson system