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作品数：110被引量：141H指数：6
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Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators被引量：1
《Communications in Computational Physics》2014年第7期516-540,共25页Minghua Chen Weihua Deng 
supported by the National Natural Science Foundation of China under Grant No.11271173,the Fundamental Research Funds for the Central Universities under Grant No.lzujbky-2014-228,and the Program for New Century Excellent Talents in University under Grant No.NCET-09-0438.
High order discretization schemes playmore important role in fractional operators than classical ones.This is because usually for classical derivatives the stencil for high order discretization schemes is wider than l...
关键词：Fractional derivatives high order scheme weighted and shifted Lubich difference(WSLD)operators numerical stability 
A Novel Numerical Method of O(h^(4))for Three-Dimensional Non-Linear Triharmonic Equations
《Communications in Computational Physics》2012年第10期1417-1433,共17页R.K.Mohanty M.K.Jain B.N.Mishra 
This research was supported by’The University of Delhi’under research grant No.Dean(R)/R&D/2010/1311.
In this article,we present two new novel finite difference approximations of order two and four,respectively,for the three dimensional non-linear triharmonic partial differential equations on a compact stencil where t...
关键词：Finite differences three dimensional non-linear triharmonic equations fourth order compact discretization LAPLACIAN BIHARMONIC maximum absolute errors 
Higher-Order Compact Scheme for the Incompressible Navier-Stokes Equations in Spherical Geometry
《Communications in Computational Physics》2012年第1期99-113,共15页T.V.S.Sekhar B.Hema Sundar Raju Y.V.S.S.Sanyasiraju 
A higher-order compact scheme on the nine point 2-D stencil is developed for the steady stream-function vorticity form of the incompressible Navier-Stokes(NS)equations in spherical polar coordinates,which was used ear...
关键词：Fourth order compact scheme Navier-stokes equations spherical polar coordinates drag coefficient. 
Fourth Order Schemes for Time-Harmonic Wave Equations with Discontinuous Coefficients被引量：1
《Communications in Computational Physics》2009年第2期442-455,共14页Guy Baruch Gadi Fibich Semyon Tsynkov Eli Turkel 
The research of S.Tsynkovwas supported by the United States National Science Founda-tion(NSF);Grant No.DMS-0509695;the United States Air Force Office of Scientific Research(AFOSR);Grant No.FA9550-07-1-0170.
We consider high order methods for the one-dimensional Helmholtz equation and frequency-Maxwell system.We demand that the scheme be higher order even when the coefficients are discontinuous.We discuss the connection b...
关键词：Helmholtz equation Maxwell’s equations finite volume approximation compact schemes high order methods material discontinuities 
A Fourth Order Numerical Method for the Primitive Equations Formulated in Mean Vorticity
《Communications in Computational Physics》2008年第6期26-55,共30页Jian-Guo Liu Cheng Wang 
the NSF grant DMS-0512176.
A fourth-order finite difference method is proposed and studied for the primitive equations(PEs)of large-scale atmospheric and oceanic flow based on mean vorticity formulation.Since the vertical average of the horizon...
关键词：The primitive equations mean vorticity compact scheme long-stencil approximation one-sided extrapolation large scale oceanic circulation. 
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