SPECTRAL_METHOD

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Laguerre Spectral Method for High Order Problems
《Numerical Mathematics(Theory,Methods and Applications)》2013年第3期520-537,共18页Chao Zhang Ben-Yu Guo Tao Sun 
The work of the first author is supported in part by NSF of China No.11171227;Research Fund for young teachers of Jiangsu Normal University No.11XLR27;and Priority Academic Program Development of Jiangsu Higher Education Institutions.The work of the second author is supported in part by NSF of China No.11171227;Fund for Doctoral Authority of China No.20123127110001;Fund for Einstitute of Shanghai Universities No.E03004;and Leading Academic Discipline Project of Shanghai Municipal Education Commission No.J50101.
In this paper,we propose the Laguerre spectral method for high order problems with mixed inhomogeneous boundary conditions.It is also available for approximated solutions growing fast at infinity.The spectral accura...
关键词：Laguerre spectral method high order problems with mixed inhomogeneous boundary conditions 
SPECTRAL METHOD FOR MIXED INHOMOGENEOUS BOUNDARY VALUE PROBLEMS IN THREE DIMENSIONS被引量：1
《Journal of Computational Mathematics》2012年第6期579-600,共22页Tianjun Wang Benyu Guo Wei Li 
In this paper, we investigate spectral method for mixed inhomogeneous boundary value problems in three dimensions. Some results on the three-dimensional Legendre approxima- tion in Jacobi weighted Sobolev space are es...
关键词：Three-dimensional Legendre approximation in Jacobi weighted Sobolev space Lifting technique Spectral method for mixed inhomogeneous boundary value problems. 
Mixed spectral method for exterior problems of Navier-Stokes equations by using generalized Laguerre functions
《Applied Mathematics and Mechanics(English Edition)》2009年第5期561-574,共14页焦裕建 郭本瑜 
supported by the National Natural Science Foundation of China (No.10871131);the Science and Technology Commission of Shanghai Municipality (No.075105118);the Shanghai Leading Academic Discipline Project (No.S30405);the Fund for E-institutes of Shanghai Universities(No.E03004)
In this paper, we investigate the mixed spectral method using generalized Laguerre functions for exterior problems of fourth order partial differential equations. A mixed spectral scheme is provided for the stream fun...
关键词：spectral method exterior problems of fourth order Navier-Stokes equations 
Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations
《Applied Mathematics and Mechanics(English Edition)》2008年第4期453-476,共24页黄伟 郭本瑜 
Project supported by the National Natural Science Foundation of China(No.10771142);Science and Technology Commission of Shanghai Municipality(No.75105118);Shanghai Leading Academic Discipline Projects(Nos.T0401 and J50101);Fund for E-institutes of Universities in Shanghai(No.E03004);and Innovative Foundation of Shanghai University(No.A.10-0101-07-408)
A fully discrete Jacobi-spherical harmonic spectral method is provided for the Navier-Stokes equations in a ball. Its stability and convergence are proved. Numerical results show efficiency of this approach. The propo...
关键词：fully discrete Jacobi-spherical harmonic spectral method Navier-Stokes equations in a ball mixed coordinates 
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