A realizable filtered intrusive polynomial moment method
DOI10.1016/j.cam.2021.114055OpenAlexW4206732953MaRDI QIDQ2075967
Ryan G. McClarren, Jonas Kusch, Martin Frank, Graham W. Alldredge
Publication date: 16 February 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.07473
Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
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- Convergence of filtered spherical harmonic equations for radiation transport
- A stochastic Galerkin method for the Euler equations with roe variable transformation
- A new spherical harmonics scheme for multi-dimensional radiation transport. I: Static matter configurations
- Simulating radiative transfer with filtered spherical harmonics
- Uncertainty propagation using Wiener-Haar expansions
- Implicit filtered \(P_N\) for high-energy density thermal radiation transport using discontinuous Galerkin finite elements
- Robust and accurate filtered spherical harmonics expansions for radiative transfer
- Uncertainty quantification for systems of conservation laws
- Numerical analysis of the Burgers' equation in the presence of uncertainty
- Moment closure hierarchies for kinetic theories.
- Intrusive methods in uncertainty quantification and their connection to kinetic theory
- A hyperbolicity-preserving stochastic Galerkin approximation for uncertain hyperbolic systems of equations
- Intrusive acceleration strategies for uncertainty quantification for hyperbolic systems of conservation laws
- A stochastic kinetic scheme for multi-scale plasma transport with uncertainty quantification
- Filtered stochastic Galerkin methods for hyperbolic equations
- Oscillation mitigation of hyperbolicity-preserving intrusive uncertainty quantification methods for systems of conservation laws
- Stable and accurate filtering procedures
- Optimization and large scale computation of an entropy-based moment closure
- High-Order Entropy-Based Closures for Linear Transport in Slab Geometry II: A Computational Study of the Optimization Problem
- Boltzmann Type Schemes for Gas Dynamics and the Entropy Property
- Spectral Methods for Time-Dependent Problems
- Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Second-Order Boltzmann Schemes for Compressible Euler Equations in One and Two Space Dimensions
- Convergence of Best Entropy Estimates
- Dual Methods in Entropy Maximization. Application to Some Problems in Crystallography
- Uncertainty Quantification and Predictive Computational Science
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws
- Mathematical Methods in Engineering
- Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations
- Maximum-principle-satisfying second-order Intrusive Polynomial Moment scheme
- A Regularized Entropy-Based Moment Method for Kinetic Equations
- Stability of correction procedure via reconstruction with summation-by-parts operators for Burgers' equation using a polynomial chaos approach
- High-Order Collocation Methods for Differential Equations with Random Inputs
- The Homogeneous Chaos
- Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations
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