High order finite difference methods on non-uniform meshes for space fractional operators

Lijing Zhao; Weihua Deng

doi:10.1007/s10444-015-9430-3

High order finite difference methods on non-uniform meshes for space fractional operators

Advances in Computational Mathematics ◽

10.1007/s10444-015-9430-3 ◽

2015 ◽

Vol 42 (2) ◽

pp. 425-468 ◽

Cited By ~ 8

Author(s):

Lijing Zhao ◽

Weihua Deng

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

High Order ◽

Fractional Operators ◽

Difference Methods ◽

High Order Finite Difference

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High order finite difference methods for unsteady incompressible flows in multi-connected domains

Computers & Fluids ◽

10.1016/s0045-7930(03)00037-9 ◽

2004 ◽

Vol 33 (2) ◽

pp. 223-255 ◽

Cited By ~ 10

Author(s):

Jian-Guo Liu ◽

Cheng Wang

Keyword(s):

Finite Difference ◽

Incompressible Flows ◽

Finite Difference Methods ◽

High Order ◽

Difference Methods ◽

High Order Finite Difference

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On the spurious solutions in the high-order finite difference methods for eigenvalue problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.06.018 ◽

2007 ◽

Vol 196 (49-52) ◽

pp. 5031-5046 ◽

Cited By ~ 26

Author(s):

S. Zhao

Keyword(s):

Finite Difference ◽

Eigenvalue Problems ◽

Finite Difference Methods ◽

High Order ◽

Spurious Solutions ◽

Difference Methods ◽

High Order Finite Difference

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High-order finite difference methods for a second order dual-phase-lagging models of microscale heat transfer

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.03.035 ◽

2017 ◽

Vol 309 ◽

pp. 31-48 ◽

Cited By ~ 4

Author(s):

Dingwen Deng ◽

Yaolin Jiang ◽

Dong Liang

Keyword(s):

Heat Transfer ◽

Finite Difference ◽

Finite Difference Methods ◽

Second Order ◽

High Order ◽

Dual Phase ◽

Microscale Heat Transfer ◽

Difference Methods ◽

High Order Finite Difference

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Multitasking 3-d fOrward Modeling Using High-Order Finite Difference Methods On the Cray X-MP/416

The International Journal of Supercomputing Applications ◽

10.1177/109434208800200104 ◽

1988 ◽

Vol 2 (1) ◽

pp. 49-65 ◽

Cited By ~ 4

Author(s):

O. Terki-Hassaine ◽

E.L. Leiss

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Forward Modeling ◽

High Order ◽

Difference Methods ◽

High Order Finite Difference

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Boundary and Interface Conditions for High-Order Finite-Difference Methods Applied to the Euler and Navier–Stokes Equations

Journal of Computational Physics ◽

10.1006/jcph.1998.6133 ◽

1999 ◽

Vol 148 (2) ◽

pp. 621-645 ◽

Cited By ~ 117

Author(s):

Jan Nordström ◽

Mark H Carpenter

Keyword(s):

Finite Difference ◽

Stokes Equations ◽

Finite Difference Methods ◽

High Order ◽

Navier Stokes ◽

Interface Conditions ◽

Navier Stokes Equations ◽

Difference Methods ◽

High Order Finite Difference

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Performance Modeling for High-Order Finite Difference Methods On the Connection Machine Cm-2

The International Journal of Supercomputer Applications and High Performance Computing ◽

10.1177/109434209500900104 ◽

1995 ◽

Vol 9 (1) ◽

pp. 40-57

Author(s):

Yu-Chung Chang ◽

Tony F. Chan

Keyword(s):

Finite Difference ◽

Performance Modeling ◽

Finite Difference Methods ◽

High Order ◽

Connection Machine ◽

Difference Methods ◽

High Order Finite Difference

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Modeling Material Interfaces and Boundary Conditions in High-Order Finite-Difference Methods

IEEE Transactions on Microwave Theory and Techniques ◽

10.1109/tmtt.2011.2172623 ◽

2011 ◽

Vol 59 (12) ◽

pp. 3283-3293 ◽

Cited By ~ 2

Author(s):

Roberto B. Armenta ◽

Costas D. Sarris

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Finite Difference Methods ◽

High Order ◽

Material Interfaces ◽

Modeling Material ◽

Difference Methods ◽

High Order Finite Difference

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Accurate modeling of dispersive material interfaces in high-order finite-difference methods

2011 IEEE MTT-S International Microwave Symposium ◽

10.1109/mwsym.2011.5973218 ◽

2011 ◽

Cited By ~ 1

Author(s):

R. B. Armenta ◽

C. D. Sarris

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

High Order ◽

Material Interfaces ◽

Difference Methods ◽

High Order Finite Difference ◽

Dispersive Material

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Nonuniform-Time-Step Explicit Runge-Kutta Scheme for High-Order Finite Difference Methods

16th AIAA/CEAS Aeroacoustics Conference ◽

10.2514/6.2010-3934 ◽

2010 ◽

Author(s):

Li Liu ◽

Xiaodong Li ◽

Fang Q. Hu

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

High Order ◽

Time Step ◽

Difference Methods ◽

Runge Kutta ◽

High Order Finite Difference

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The numerical behavior of high-order finite difference methods

Journal of Scientific Computing ◽

10.1007/bf01575102 ◽

1994 ◽

Vol 9 (4) ◽

pp. 445-466 ◽

Cited By ~ 3

Author(s):

Pelle Olsson

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

High Order ◽

Difference Methods ◽

High Order Finite Difference

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