Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data

Mathematics of Computation ◽

10.1090/s0025-5718-2012-02574-9 ◽

2012 ◽

Vol 81 (280) ◽

pp. 1979-2018 ◽

Author(s):

S. Mishra ◽

Ch. Schwab

Keyword(s):

Monte Carlo ◽

Initial Data ◽

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Methods ◽

Random Initial Data ◽

Hyperbolic Conservation ◽

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Monte-Carlo Finite-Volume Methods in Uncertainty Quantification for Hyperbolic Conservation Laws

SEMA SIMAI Springer Series - Uncertainty Quantification for Hyperbolic and Kinetic Equations ◽

10.1007/978-3-319-67110-9_7 ◽

2017 ◽

pp. 231-277 ◽

Author(s):

Siddhartha Mishra ◽

Christoph Schwab

Keyword(s):

Monte Carlo ◽

Conservation Laws ◽

Uncertainty Quantification ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Methods ◽

Hyperbolic Conservation

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High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids

Journal of Computational Physics ◽

10.1016/j.jcp.2015.01.006 ◽

2015 ◽

Vol 288 ◽

pp. 181-195 ◽

Author(s):

P. McCorquodale ◽

M.R. Dorr ◽

J.A.F. Hittinger ◽

P. Colella

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Methods ◽

Hyperbolic Conservation ◽

Multiblock Grids

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High order approximations for hyperbolic conservation laws with random initial data

Numerical Methods for Hyperbolic Equations ◽

10.1201/b14172-41 ◽

2012 ◽

pp. 301-308

Author(s):

Svetlana Tokareva ◽

Siddhartha Mishra ◽

Christoph Schwab

Keyword(s):

Initial Data ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Random Initial Data ◽

Hyperbolic Conservation

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An optimal error estimate for upwind Finite Volume methods for nonlinear hyperbolic conservation laws

Applied Numerical Mathematics ◽

10.1016/j.apnum.2011.07.005 ◽

2011 ◽

Vol 61 (11) ◽

pp. 1114-1131 ◽

Author(s):

Daniel Bouche ◽

Jean-Michel Ghidaglia ◽

Frédéric P. Pascal

Keyword(s):

Error Estimate ◽

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Methods ◽

Optimal Error Estimate ◽

Optimal Error ◽

Hyperbolic Conservation ◽

Nonlinear Hyperbolic Conservation Laws

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Finite volume methods on unstructured Voronoi meshes for hyperbolic conservation laws

Hyperbolic Problems: Theory, Numerics and Applications - Proceedings of Symposia in Applied Mathematics ◽

10.1090/psapm/067.2/2605246 ◽

2009 ◽

pp. 507-516

Author(s):

Ivan Christov ◽

Ilya D. Mishev ◽

Bojan Popov

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Methods ◽

Hyperbolic Conservation

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An introduction to finite volume methods for hyperbolic conservation laws

ESAIM Proceedings ◽

10.1051/proc:2005020 ◽

2005 ◽

Vol 15 ◽

pp. 1-17 ◽

Author(s):

Francois Bouchut

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Methods ◽

Hyperbolic Conservation

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Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws

IMA Journal of Numerical Analysis ◽

10.1093/imanum/16.4.549 ◽

1996 ◽

Vol 16 (4) ◽

pp. 549-581 ◽

Author(s):

THOMAS SONAR

Keyword(s):

Conservation Laws ◽

Numerical Solution ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Methods ◽

Optimal Recovery ◽

Thin Plate Splines ◽

Hyperbolic Conservation

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Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws

10.1007/b93802 ◽

2004 ◽

Author(s):

François Bouchut

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Nonlinear Stability ◽

Hyperbolic Conservation Laws ◽

Finite Volume Methods ◽

Hyperbolic Conservation

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Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions

Journal of Computational Physics ◽

10.1016/j.jcp.2012.01.011 ◽

2012 ◽

Vol 231 (8) ◽

pp. 3365-3388 ◽

Author(s):

S. Mishra ◽

Ch. Schwab ◽

J. Šukys

Keyword(s):

Monte Carlo ◽

Nonlinear Systems ◽

Conservation Laws ◽

Finite Volume ◽

Finite Volume Methods ◽

Systems Of Conservation Laws ◽

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High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2012060 ◽

2013 ◽

Vol 47 (3) ◽

pp. 807-835 ◽

Author(s):

Christoph Schwab ◽

Svetlana Tokareva

Keyword(s):

Initial Data ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Order Approximation ◽

High Order Approximation ◽

Hyperbolic Conservation ◽

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