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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
Download Full-text
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References
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
Download Full-text
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
Download Full-text
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
Download Full-text
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
Download Full-text
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
Download Full-text
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
Download Full-text
Optimal point-wise error estimate of two conservative fourth-order compact finite difference schemes for the nonlinear Dirac equation
Applied Numerical Mathematics
◽
10.1016/j.apnum.2020.12.010
◽
2021
◽
Vol 162
◽
pp. 150-170
Author(s):
Jiyong Li
◽
Tingchun Wang
Keyword(s):
Dirac Equation
◽
Finite Difference
◽
Error Estimate
◽
Fourth Order
◽
Difference Schemes
◽
Finite Difference Schemes
◽
Optimal Point
◽
Compact Finite Difference
◽
Nonlinear Dirac Equation
◽
Compact Finite Difference Schemes
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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
Download Full-text
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
Download Full-text
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