New optimized flux difference schemes for improving high-order weighted compact nonlinear scheme with applications

Applied Mathematics and Mechanics ◽

10.1007/s10483-021-2712-8 ◽

2021 ◽

Vol 42 (3) ◽

pp. 405-424

Author(s):

Shichao Zheng ◽

Xiaogang Deng ◽

Dongfang Wang

Keyword(s):

Difference Schemes ◽

Flux Difference

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FFT-Based High Order Central Difference Schemes for Poisson’s Equation with Staggered Boundaries

Journal of Scientific Computing ◽

10.1007/s10915-020-01379-7 ◽

2021 ◽

Vol 86 (1) ◽

Author(s):

Hongsong Feng ◽

Guangqing Long ◽

Shan Zhao

Keyword(s):

Difference Schemes ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Central Difference

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High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110136 ◽

2021 ◽

Vol 431 ◽

pp. 110136

Author(s):

Junming Duan ◽

Huazhong Tang

Keyword(s):

Finite Difference ◽

Shallow Water ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Entropy Stable ◽

Shallow Water Magnetohydrodynamics

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On Convergence of High Order Shock Capturing Difference Schemes

10.1063/1.3526641 ◽

2010 ◽

Author(s):

V. Ostapenko ◽

Michail D. Todorov ◽

Christo I. Christov

Keyword(s):

Difference Schemes ◽

Shock Capturing

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High Order Compact Block-Centered Finite Difference Schemes for Elliptic and Parabolic Problems

Journal of Scientific Computing ◽

10.1007/s10915-021-01507-x ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Yilei Shi ◽

Shusen Xie ◽

Dong Liang ◽

Kai Fu

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Parabolic Problems ◽

Finite Difference Schemes

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High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113766 ◽

2021 ◽

pp. 113766

Author(s):

Zeyu Xia ◽

Cheng Wang ◽

Liwei Xu ◽

Zhengru Zhang

Keyword(s):

Finite Difference ◽

Fourth Order ◽

Harmonic Mapping ◽

Difference Schemes ◽

Finite Difference Schemes

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High-order implicit finite difference schemes for the two-dimensional Poisson equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.04.006 ◽

2017 ◽

Vol 309 ◽

pp. 222-244

Author(s):

Miguel Uh Zapata ◽

Reymundo Itzá Balam

Keyword(s):

Finite Difference ◽

Poisson Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Implicit Finite Difference

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A new family of high-order compact upwind difference schemes with good spectral resolution

Journal of Computational Physics ◽

10.1016/j.jcp.2007.09.008 ◽

2007 ◽

Vol 227 (2) ◽

pp. 1306-1339 ◽

Author(s):

Qiang Zhou ◽

Zhaohui Yao ◽

Feng He ◽

M.Y. Shen

Keyword(s):

Spectral Resolution ◽

Difference Schemes ◽

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High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov’s method with antidiffusion

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542511040129 ◽

2011 ◽

Vol 51 (4) ◽

pp. 676-687 ◽

Author(s):

N. Ya. Moiseev

Keyword(s):

Difference Schemes ◽

Godunov’S Method ◽

Godunov′S Method ◽

Gasdynamic Problems

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High order accurate finite difference schemes based on symmetry preservation

Journal of Computational Physics ◽

10.1016/j.jcp.2017.08.023 ◽

2017 ◽

Vol 349 ◽

pp. 376-398 ◽

Author(s):

Ersin Ozbenli ◽

Prakash Vedula

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes

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The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes

Journal of Computational Physics ◽

10.1006/jcph.1993.1182 ◽

1993 ◽

Vol 108 (2) ◽

pp. 272-295 ◽

Author(s):

Mark H. Carpenter ◽

David Gottlieb ◽

Saul Abarbanel

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Boundary Treatments ◽

The Stability ◽

High Order Finite Difference

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