Numerical Approximation of Statistical Solutions of Scalar Conservation Laws
DOI10.1137/17M1154874zbMath1404.65113arXiv1710.11173OpenAlexW2964225472MaRDI QIDQ4687230
K. Lye, Siddhartha Mishra, Ulrik Skre Fjordholm
Publication date: 11 October 2018
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.11173
Monte Carlo methods (65C05) PDEs in connection with fluid mechanics (35Q35) Statistical turbulence modeling (76F55) Hyperbolic conservation laws (35L65) Numerical solutions to stochastic differential and integral equations (65C30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Cites Work
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- Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions
- On the rate of convergence in Wasserstein distance of the empirical measure
- Probability in Banach spaces. Isoperimetry and processes
- Decaying turbulence in the generalised Burgers equation
- The Euler equations as a differential inclusion
- Statistics of shocks in solutions of inviscid Burgers equation
- The inviscid Burgers equation with initial data of Brownian type
- Burgers equation with initial conditions of homogeneous and independent increments
- The inviscid Burgers equation with Brownian initial velocity
- Statistical solutions of hyperbolic conservation laws: foundations
- Measure-valued solutions to conservation laws
- Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws
- Strong Stability-Preserving High-Order Time Discretization Methods
- Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data
- Uncertainty Quantification for Hyperbolic Systems of Conservation Laws
- Multilevel Monte Carlo Path Simulation
- Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
- Global Ill‐Posedness of the Isentropic System of Gas Dynamics
- Fractional Brownian Motions, Fractional Noises and Applications
- Hyperbolic Conservation Laws in Continuum Physics
- Front tracking for hyperbolic conservation laws
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