Filtered stochastic Galerkin methods for hyperbolic equations
DOI10.1016/j.jcp.2019.109073zbMath1453.62579arXiv1808.00819OpenAlexW2985603876WikidataQ126841798 ScholiaQ126841798MaRDI QIDQ2222992
Ryan G. McClarren, Jonas Kusch, Martin Frank
Publication date: 28 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.00819
Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solutions to stochastic differential and integral equations (65C30)
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- Convergence of filtered spherical harmonic equations for radiation transport
- A new spherical harmonics scheme for multi-dimensional radiation transport. I: Static matter configurations
- Treatment of uncertain material interfaces in compressible flows
- 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
- 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
- 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
- Robust Uncertainty Propagation in Systems of Conservation Laws with the Entropy Closure Method
- Spectral Methods for Time-Dependent Problems
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Approximation Results for Orthogonal Polynomials in Sobolev Spaces
- Uncertainty Quantification and Predictive Computational Science
- Maximum-principle-satisfying second-order Intrusive Polynomial Moment scheme
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