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

Yilei Shi; Shusen Xie; Dong Liang; Kai Fu

doi:10.1007/s10915-021-01507-x

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 ◽

High Order ◽

Difference Schemes ◽

Parabolic Problems ◽

Finite Difference Schemes

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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 ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Entropy Stable ◽

Shallow Water Magnetohydrodynamics

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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 ◽

High Order ◽

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 ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Implicit Finite Difference

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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 ◽

Cited By ~ 2

Author(s):

Ersin Ozbenli ◽

Prakash Vedula

Keyword(s):

Finite Difference ◽

High Order ◽

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 ◽

Cited By ~ 284

Author(s):

Mark H. Carpenter ◽

David Gottlieb ◽

Saul Abarbanel

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Boundary Treatments ◽

The Stability ◽

High Order Finite Difference

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High-Order Finite-Difference Schemes

Effective Computational Methods for Wave Propagation - Numerical Insights ◽

10.1201/9781420010879.ch17 ◽

2008 ◽

pp. 491-519

Author(s):

J Ekaterinaris

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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Superconvergence of High Order Finite Difference Schemes Based on Variational Formulation for Elliptic Equations

Journal of Scientific Computing ◽

10.1007/s10915-020-01144-w ◽

2020 ◽

Vol 82 (2) ◽

Cited By ~ 2

Author(s):

Hao Li ◽

Xiangxiong Zhang

Keyword(s):

Finite Difference ◽

Elliptic Equations ◽

Variational Formulation ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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Uniform Flow Preserving Property of High Order Upwind Finite Difference Schemes on Generalized Coordinate System

Computational Fluid Dynamics 2006 ◽

10.1007/978-3-540-92779-2_18 ◽

2009 ◽

pp. 131-136

Author(s):

Taku Nonomura ◽

Nobuyuki Iizuka ◽

Kozo Fujii

Keyword(s):

Finite Difference ◽

Coordinate System ◽

Uniform Flow ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Upwind Finite Difference ◽

Generalized Coordinate

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Erratum To: "High-Order Finite Difference Schemes for Solving the Advection-Diffusion Equation, Mathematical and Computational Applications, Vol. 15, No. 3, 449-460, 2010."

Mathematical and Computational Applications ◽

10.3390/mca16040979 ◽

2011 ◽

Vol 16 (4) ◽

pp. 979-979

Author(s):

Murat Sari ◽

Gürhan Gürarslan ◽

Asuman Zeytinoğlu

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

High Order Finite Difference

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Wavenumber-Extended High-Order Upwind-Biased Finite-Difference Schemes for Convective Scalar Transport

Journal of Computational Physics ◽

10.1006/jcph.1997.5649 ◽

1997 ◽

Vol 133 (2) ◽

pp. 235-255 ◽

Cited By ~ 62

Author(s):

Yuguo Li

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Scalar Transport ◽

Finite Difference Schemes

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