High order explicit local time stepping methods for hyperbolic conservation laws

Mathematics of Computation ◽

10.1090/mcom/3507 ◽

2020 ◽

Vol 89 (324) ◽

pp. 1807-1842

Author(s):

Thi-Thao-Phuong Hoang ◽

Lili Ju ◽

Wei Leng ◽

Zhu Wang

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Time Stepping ◽

Local Time Stepping

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Arbitrary-Lagrangian–Eulerian ADER–WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.07.019 ◽

2014 ◽

Vol 280 ◽

pp. 57-83 ◽

Author(s):

Michael Dumbser

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Arbitrary Lagrangian Eulerian ◽

Finite Volume Schemes ◽

Hyperbolic Conservation ◽

Time Stepping ◽

Local Time Stepping

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An adaptive local time-stepping scheme for multiresolution simulations of hyperbolic conservation laws

Journal of Computational Physics X ◽

10.1016/j.jcpx.2019.100038 ◽

2019 ◽

Vol 4 ◽

pp. 100038

Author(s):

Jakob W.J. Kaiser ◽

Nils Hoppe ◽

Stefan Adami ◽

Nikolaus A. Adams

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Time Stepping ◽

Local Time Stepping

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A High Order Stable Conservative Method for Solving Hyperbolic Conservation Laws on Arbitrarily Distributed Point Clouds

SIAM Journal on Scientific Computing ◽

10.1137/16m1060583 ◽

2016 ◽

Vol 38 (5) ◽

pp. A3094-A3128

Author(s):

Jie Du ◽

Chi-Wang Shu

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Point Clouds ◽

Hyperbolic Conservation ◽

Conservative Method

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An efficient local time-stepping scheme for solution of nonlinear conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2010.07.037 ◽

2010 ◽

Vol 229 (22) ◽

pp. 8537-8551 ◽

Author(s):

Lilia Krivodonova

Keyword(s):

Conservation Laws ◽

Nonlinear Conservation Laws ◽

Time Stepping ◽

Local Time Stepping

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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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A High Order Fourier/Unstructured Discontinuous Galerkin Method for Hyperbolic Conservation Laws

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-0348-8724-3_38 ◽

1999 ◽

pp. 875-884

Author(s):

Spencer Sherwin

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation

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A HIGH ORDER CENTRAL-UPWIND SCHEME FOR HYPERBOLIC CONSERVATION LAWS

Journal of Applied Analysis & Computation ◽

10.11948/2015035 ◽

2015 ◽

Vol 5 (3) ◽

pp. 453-464

Author(s):

Xiaohan Cheng ◽

◽

Yufeng Nie ◽

Jianhu Feng ◽

Li Cai ◽

...

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Upwind Scheme ◽

Hyperbolic Conservation

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High order finite volume methods on wavelet-adapted grids with local time-stepping on multicore architectures for the simulation of shock-bubble interactions

Journal of Computational Physics ◽

10.1016/j.jcp.2010.07.021 ◽

2010 ◽

Vol 229 (22) ◽

pp. 8364-8383 ◽

Author(s):

Babak Hejazialhosseini ◽

Diego Rossinelli ◽

Michael Bergdorf ◽

Petros Koumoutsakos

Keyword(s):

Finite Volume ◽

Finite Volume Methods ◽

Multicore Architectures ◽

Bubble Interactions ◽

Time Stepping ◽

Local Time Stepping

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High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0264 ◽

2020 ◽

Vol 12 (4) ◽

pp. 972-991

Author(s):

global sci

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Nonlinear Schemes

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Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109697 ◽

2020 ◽

Vol 421 ◽

pp. 109697 ◽

Author(s):

Weifeng Zhao ◽

Juntao Huang ◽

Steven J. Ruuth

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Boundary Treatment ◽

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