Intrusive methods in uncertainty quantification and their connection to kinetic theory

DOI10.1007/s12572-018-0211-3zbMath1397.65020OpenAlexW2807218220MaRDI QIDQ1787537

Martin Frank, Jonas Kusch

Publication date: 5 October 2018

Published in: International Journal of Advances in Engineering Sciences and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12572-018-0211-3

zbMATH Keywords

conservation lawsoscillationshyperbolickinetic theoryfiltersuncertainty quantification

Mathematics Subject Classification ID

Related Items (6)

Weighted essentially non-oscillatory stochastic Galerkin approximation for hyperbolic conservation laws ⋮ Semi-conservative high order scheme with numerical entropy indicator for intrusive formulations of hyperbolic systems ⋮ Oscillation mitigation of hyperbolicity-preserving intrusive uncertainty quantification methods for systems of conservation laws ⋮ Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations ⋮ A realizable filtered intrusive polynomial moment method ⋮ Entropy–Based Methods for Uncertainty Quantification of Hyperbolic Conservation Laws

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A realizability-preserving discontinuous Galerkin scheme for entropy-based moment closures for linear kinetic equations in one space dimension
• High-order entropy-based closures for linear transport in slab geometry
• Simulating radiative transfer with filtered spherical harmonics
• Treatment of uncertain material interfaces in compressible flows
• Partial moment entropy approximation to radiative heat transfer
• Half-moment closure for radiative transfer equations
• Robust and accurate filtered spherical harmonics expansions for radiative transfer
• Uncertainty quantification for systems of conservation laws
• Moment closure hierarchies for kinetic theories.
• Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
• A hyperbolicity-preserving stochastic Galerkin approximation for uncertain hyperbolic systems of equations
• Optimization and large scale computation of an entropy-based moment closure
• Positive Filtered P$_N$ Moment Closures for Linear Kinetic Equations
• Robust Uncertainty Propagation in Systems of Conservation Laws with the Entropy Closure Method
• Positive $P_N$ Closures
• High-Order Entropy-Based Closures for Linear Transport in Slab Geometry II: A Computational Study of the Optimization Problem
• Spectral Methods for Time-Dependent Problems
• A Fast and Accurate Moment Method for the Fokker–Planck Equation and Applications to Electron Radiotherapy
• Regularization of Grad’s 13 moment equations: Derivation and linear analysis
• Convergence of Best Entropy Estimates
• Maximum-principle-satisfying second-order Intrusive Polynomial Moment scheme
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Stochastic Problems in Physics and Astronomy

This page was built for publication: Intrusive methods in uncertainty quantification and their connection to kinetic theory