High-Order WENO Schemes for Hamilton--Jacobi Equations on Triangular Meshes

SIAM Journal on Scientific Computing ◽

10.1137/s1064827501396798 ◽

2003 ◽

Vol 24 (3) ◽

pp. 1005-1030 ◽

Author(s):

Yong-Tao Zhang ◽

Chi-Wang Shu

Keyword(s):

Triangular Meshes ◽

Weno Schemes ◽

Jacobi Equations

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A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

Communications in Computational Physics ◽

10.4208/cicp.oa-2018-0156 ◽

2020 ◽

Vol 27 (3) ◽

pp. 897-920

Author(s):

Jun Zhu and Jianxian Qiu

Keyword(s):

Triangular Meshes ◽

Weno Schemes ◽

New Type ◽

Jacobi Equations

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High-Order Central WENO Schemes for Multidimensional Hamilton-Jacobi Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902408404 ◽

2003 ◽

Vol 41 (4) ◽

pp. 1339-1369 ◽

Author(s):

Steve Bryson ◽

Doron Levy

Keyword(s):

Weno Schemes ◽

Jacobi Equations

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High-order schemes for Hamilton–Jacobi equations on triangular meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2003.09.051 ◽

2004 ◽

Vol 167 (1) ◽

pp. 227-241 ◽

Author(s):

Xiang-Gui Li ◽

C.K. Chan

Keyword(s):

Triangular Meshes ◽

High Order Schemes ◽

Jacobi Equations

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High order finite difference hermite WENO schemes for the Hamilton–Jacobi equations on unstructured meshes

Computers & Fluids ◽

10.1016/j.compfluid.2019.02.010 ◽

2019 ◽

Vol 183 ◽

pp. 53-65 ◽

Author(s):

Feng Zheng ◽

Chi-Wang Shu ◽

Jianxian Qiu

Keyword(s):

Finite Difference ◽

Unstructured Meshes ◽

Weno Schemes ◽

Jacobi Equations ◽

High Order Finite Difference

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High-order central WENO schemes for 1D Hamilton-Jacobi equations

Numerical Mathematics and Advanced Applications ◽

10.1007/978-88-470-2089-4_4 ◽

2003 ◽

pp. 45-54

Author(s):

S. Bryson ◽

D. Levy

Keyword(s):

Weno Schemes ◽

Jacobi Equations

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Anti-diffusive High Order WENO Schemes for Hamilton-Jacobi Equations

Methods and Applications of Analysis ◽

10.4310/maa.2005.v12.n2.a6 ◽

2005 ◽

Vol 12 (2) ◽

pp. 169-190 ◽

Author(s):

Chi-Wang Shu ◽

Zhengfu Xu

Keyword(s):

Weno Schemes ◽

Jacobi Equations

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Central WENO Schemes for Hamilton–Jacobi Equations on Triangular Meshes

SIAM Journal on Scientific Computing ◽

10.1137/040612002 ◽

2006 ◽

Vol 28 (6) ◽

pp. 2229-2247 ◽

Author(s):

Doron Levy ◽

Suhas Nayak ◽

Chi‐Wang Shu ◽

Yong‐Tao Zhang

Keyword(s):

Triangular Meshes ◽

Weno Schemes ◽

Jacobi Equations

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New Finite Difference Mapped WENO Schemes with Increasingly High Order of Accuracy

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-021-00122-9 ◽

2021 ◽

Author(s):

Jun Zhu ◽

Jianxian Qiu

Keyword(s):

Finite Difference ◽

Weno Schemes ◽

Order Of Accuracy ◽

High Order Of Accuracy

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High-order finite volume WENO schemes for Boussinesq modelling of nearshore wave processes

Journal of Hydraulic Research ◽

10.1080/00221686.2016.1175520 ◽

2016 ◽

Vol 54 (6) ◽

pp. 646-662 ◽

Author(s):

Quan Zhou ◽

Jiemin Zhan ◽

Yoksheung Li

Keyword(s):

Finite Volume ◽

Wave Processes ◽

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An adaptive high-order discontinuous Galerkin method with error control for the Hamilton–Jacobi equations. Part I: The one-dimensional steady state case

Journal of Computational Physics ◽

10.1016/j.jcp.2007.05.003 ◽

2007 ◽

Vol 226 (1) ◽

pp. 1027-1058 ◽

Author(s):

Yanlai Chen ◽

Bernardo Cockburn

Keyword(s):

Steady State ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Error Control ◽

One Dimensional ◽

The One ◽

Jacobi Equations ◽

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