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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Positivity-preserving high order finite difference WENO schemes for compressible Euler equations

Journal of Computational Physics ◽

10.1016/j.jcp.2011.11.020 ◽

2012 ◽

Vol 231 (5) ◽

pp. 2245-2258 ◽

Author(s):

Xiangxiong Zhang ◽

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Weno Schemes ◽

Compressible Euler ◽

Finite Difference Weno Schemes ◽

High Order Finite Difference

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High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations

SIAM Journal on Scientific Computing ◽

10.1137/100791002 ◽

2011 ◽

Vol 33 (2) ◽

pp. 939-965 ◽

Author(s):

Yuanyuan Liu ◽

Chi-Wang Shu ◽

Mengping Zhang

Keyword(s):

Finite Difference ◽

Parabolic Equations ◽

Degenerate Parabolic Equations ◽

Weno Schemes ◽

Nonlinear Degenerate Parabolic Equations ◽

Degenerate Parabolic ◽

Finite Difference Weno Schemes ◽

High Order Finite Difference ◽

Nonlinear Degenerate

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Positivity-preserving High Order Finite Difference WENO Schemes for Compressible Euler Equations

10.21236/ada557715 ◽

2011 ◽

Author(s):

Xiangxiong Zhang ◽

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Weno Schemes ◽

Compressible Euler ◽

Finite Difference Weno Schemes ◽

High Order Finite Difference

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High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD

International Journal of Computational Fluid Dynamics ◽

10.1080/1061856031000104851 ◽

2003 ◽

Vol 17 (2) ◽

pp. 107-118 ◽

Author(s):

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Weno Schemes ◽

High Order Finite Difference

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Anti-diffusive flux corrections for high order finite difference WENO schemes

Journal of Computational Physics ◽

10.1016/j.jcp.2004.11.014 ◽

2005 ◽

Vol 205 (2) ◽

pp. 458-485 ◽

Author(s):

Zhengfu Xu ◽

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Diffusive Flux ◽

Weno Schemes ◽

Finite Difference Weno Schemes ◽

Flux Corrections ◽

High Order Finite Difference

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High order finite difference WENO schemes for fractional differential equations

Applied Mathematics Letters ◽

10.1016/j.aml.2012.10.005 ◽

2013 ◽

Vol 26 (3) ◽

pp. 362-366 ◽

Author(s):

Weihua Deng ◽

Shanda Du ◽

Yujiang Wu

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Fractional Differential Equations ◽

Weno Schemes ◽

Fractional Differential ◽

Finite Difference Weno Schemes ◽

High Order Finite Difference

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High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

Communications in Computational Physics ◽

10.4208/cicp.oa-2021-0079 ◽

2022 ◽

Vol 31 (1) ◽

pp. 154-187

Author(s):

Yupeng Ren

Keyword(s):

Fixed Point ◽

Finite Difference ◽

Fast Sweeping Method ◽

Fast Sweeping ◽

Sweeping Method ◽

Jacobi Equations ◽

High Order Finite Difference

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High order finite difference WENO schemes with the exact conservation property for the shallow water equations

Journal of Computational Physics ◽

10.1016/j.jcp.2005.02.006 ◽

2005 ◽

Vol 208 (1) ◽

pp. 206-227 ◽

Author(s):

Yulong Xing ◽

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Shallow Water ◽

Shallow Water Equations ◽

Weno Schemes ◽

Conservation Property ◽

Finite Difference Weno Schemes ◽

High Order Finite Difference

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High-fidelity simulations of gravity currents using a high-order finite-difference spectral vanishing viscosity approach

Computers & Fluids ◽

10.1016/j.compfluid.2021.104902 ◽

2021 ◽

pp. 104902

Author(s):

Ricardo A.S. Frantz ◽

Georgios Deskos ◽

Sylvain Laizet ◽

Jorge H. Silvestrini

Keyword(s):

Finite Difference ◽

Gravity Currents ◽

High Fidelity ◽

Vanishing Viscosity ◽

High Fidelity Simulations ◽

High Order Finite Difference

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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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