High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms

Journal of Scientific Computing ◽

10.1007/s10915-005-9027-y ◽

2005 ◽

Vol 27 (1-3) ◽

pp. 477-494 ◽

Author(s):

Yulong Xing ◽

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Hyperbolic Systems ◽

Source Terms ◽

Weno Schemes ◽

Finite Difference Weno Schemes

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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 well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

Journal of Computational Physics ◽

10.1016/j.jcp.2005.10.005 ◽

2006 ◽

Vol 214 (2) ◽

pp. 567-598 ◽

Author(s):

Yulong Xing ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Finite Volume ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Systems ◽

Galerkin Methods ◽

Source Terms ◽

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High order residual distribution conservative finite difference WENO schemes for convection–diffusion steady state problems on non-smooth meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2006.11.006 ◽

2007 ◽

Vol 224 (2) ◽

pp. 992-1020 ◽

Author(s):

Ching-Shan Chou ◽

Chi-Wang Shu

Keyword(s):

Steady State ◽

Finite Difference ◽

Residual Distribution ◽

Weno Schemes ◽

Convection Diffusion ◽

Finite Difference Weno Schemes

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Simple high order well-balanced finite difference WENO schemes for the Euler equations under gravitational fields

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110341 ◽

2021 ◽

Vol 437 ◽

pp. 110341

Author(s):

Peng Li ◽

Zhen Gao

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Weno Schemes ◽

Gravitational Fields ◽

Finite Difference Weno Schemes

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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 maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation

Journal of Computational Physics ◽

10.1016/j.jcp.2014.05.033 ◽

2014 ◽

Vol 273 ◽

pp. 618-639 ◽

Author(s):

Tao Xiong ◽

Jing-Mei Qiu ◽

Zhengfu Xu ◽

Andrew Christlieb

Keyword(s):

Maximum Principle ◽

Finite Difference ◽

Vlasov Equation ◽

Weno Schemes ◽

Finite Difference Weno Schemes

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High order well-balanced finite difference WENO schemes for shallow water flows along channels with irregular geometry

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124587 ◽

2019 ◽

Vol 363 ◽

pp. 124587

Author(s):

Xiufang Wang ◽

Gang Li ◽

Shouguo Qian ◽

Jiaojiao Li ◽

Zhen Wang

Keyword(s):

Finite Difference ◽

Shallow Water ◽

Weno Schemes ◽

Water Flows ◽

Shallow Water Flows ◽

Finite Difference Weno Schemes ◽

Irregular Geometry

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