A HIGH ORDER CENTRAL-UPWIND SCHEME FOR HYPERBOLIC CONSERVATION LAWS

Xiaohan Cheng;  ;  Yufeng Nie;  Jianhu Feng;  Li Cai;

doi:10.11948/2015035

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 ◽

High Order ◽

Upwind Scheme ◽

Hyperbolic Conservation

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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 ◽

Local Time ◽

Hyperbolic Conservation Laws ◽

High Order ◽

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 ◽

High Order ◽

Hyperbolic Conservation ◽

Conservative Method

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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 ◽

Cited By ~ 10

Author(s):

Christoph Schwab ◽

Svetlana Tokareva

Keyword(s):

Initial Data ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Order Approximation ◽

High Order ◽

High Order Approximation ◽

Hyperbolic Conservation ◽

Shock Profiles

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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 ◽

High Order ◽

Hyperbolic Conservation

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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 ◽

High Order ◽

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 ◽

Cited By ~ 1

Author(s):

Weifeng Zhao ◽

Juntao Huang ◽

Steven J. Ruuth

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

High Order ◽

Hyperbolic Conservation ◽

Boundary Treatment ◽

Runge Kutta

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High order sub-cell finite volume schemes for solving hyperbolic conservation laws II: Extension to two-dimensional systems on unstructured grids

Journal of Computational Physics ◽

10.1016/j.jcp.2017.02.052 ◽

2017 ◽

Vol 338 ◽

pp. 165-198 ◽

Cited By ~ 2

Author(s):

Jianhua Pan ◽

Yu-xin Ren ◽

Yutao Sun

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Unstructured Grids ◽

High Order ◽

Two Dimensional ◽

Finite Volume Schemes ◽

Hyperbolic Conservation

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High-Order Multiderivative Time Integrators for Hyperbolic Conservation Laws

Journal of Scientific Computing ◽

10.1007/s10915-013-9787-8 ◽

2013 ◽

Vol 60 (1) ◽

pp. 101-140 ◽

Cited By ~ 31

Author(s):

David C. Seal ◽

Yaman Güçlü ◽

Andrew J. Christlieb

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

High Order ◽

Hyperbolic Conservation ◽

Time Integrators

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High-order maximum-principle-preserving and positivity-preserving weighted compact nonlinear schemes for hyperbolic conservation laws

Applied Mathematics and Mechanics ◽

10.1007/s10483-020-2554-8 ◽

2019 ◽

Vol 41 (1) ◽

pp. 173-192

Author(s):

Lingyan Tang ◽

Songhe Song ◽

Hong Zhang

Keyword(s):

Maximum Principle ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

High Order ◽

Positivity Preserving ◽

Hyperbolic Conservation ◽

Nonlinear Schemes

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A new type of increasingly high-order multi-resolution trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems

Computers & Fluids ◽

10.1016/j.compfluid.2020.104448 ◽

2020 ◽

Vol 200 ◽

pp. 104448 ◽

Cited By ~ 1

Author(s):

Yanmeng Wang ◽

Jun Zhu

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

High Order ◽

Weno Schemes ◽

Hyperbolic Conservation ◽

Highly Oscillatory ◽

New Type ◽

Highly Oscillatory Problems

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