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

Hao Li; Xiangxiong Zhang

doi:10.1007/s10915-020-01144-w

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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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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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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Conservative metric evaluation for high-order finite difference schemes with the GCL identities on moving and deforming grids

Journal of Computational Physics ◽

10.1016/j.jcp.2012.08.031 ◽

2013 ◽

Vol 232 (1) ◽

pp. 14-21 ◽

Cited By ~ 19

Author(s):

Yoshiaki Abe ◽

Nobuyuki Iizuka ◽

Taku Nonomura ◽

Kozo Fujii

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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High Order Finite Difference Schemes on Non-uniform Meshes with Good Conservation Properties

Journal of Computational Physics ◽

10.1006/jcph.1999.6398 ◽

2000 ◽

Vol 157 (2) ◽

pp. 746-761 ◽

Cited By ~ 98

Author(s):

Oleg V. Vasilyev

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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A Family of High Order Finite Difference Schemes with Good Spectral Resolution

Journal of Computational Physics ◽

10.1006/jcph.1998.6022 ◽

1998 ◽

Vol 145 (1) ◽

pp. 332-358 ◽

Cited By ~ 112

Author(s):

Krishnan Mahesh

Keyword(s):

Finite Difference ◽

Spectral Resolution ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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Assessment of some high-order finite difference schemes on the scalar conservation law with periodical conditions

INCAS BULLETIN ◽

10.13111/2066-8201.2016.8.4.7 ◽

2016 ◽

Vol 8 (4) ◽

pp. 77-92

Author(s):

BOGOI Alina ◽

◽

ISVORANU Dragos ◽

DANAILA Sterian ◽

◽

...

Keyword(s):

Finite Difference ◽

Conservation Law ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Scalar Conservation Law ◽

Scalar Conservation ◽

High Order Finite Difference

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High Order Finite Difference Schemes for the Heat Equation Whose Convergence Rates are Higher Than Their Truncation Errors

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 ◽

10.1007/978-3-319-19800-2_13 ◽

2015 ◽

pp. 167-178 ◽

Cited By ~ 2

Author(s):

A. Ditkowski

Keyword(s):

Finite Difference ◽

Heat Equation ◽

Convergence Rates ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Truncation Errors ◽

High Order Finite Difference

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High-order finite difference schemes for incompressible flows

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.2228 ◽

2011 ◽

Vol 65 (9) ◽

pp. 1050-1070 ◽

Cited By ~ 3

Author(s):

H. Fadel ◽

M. Agouzoul ◽

P. K. Jimack

Keyword(s):

Finite Difference ◽

Incompressible Flows ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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Geometric interpretations and spatial symmetry property of metrics in the conservative form for high-order finite-difference schemes on moving and deforming grids

Journal of Computational Physics ◽

10.1016/j.jcp.2013.12.019 ◽

2014 ◽

Vol 260 ◽

pp. 163-203 ◽

Cited By ~ 37

Author(s):

Yoshiaki Abe ◽

Taku Nonomura ◽

Nobuyuki Iizuka ◽

Kozo Fujii

Keyword(s):

Finite Difference ◽

Symmetry Property ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Spatial Symmetry ◽

Conservative Form ◽

High Order Finite Difference

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