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Open AccessA world renowned psychophysiologist: Kaoliang Chow
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Open AccessTsai Chiao: The founder of physiology and aviation, aerospace and navigation medicine in China
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Open AccessThe significance of infant research for psychoanalysis
Psychoanalysis and infant research have strengthened cooperation in the current interdisciplinary dialog. The theoretical significance of infant research for psychoanalysis includes the consideration of indivi...
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Open AccessCorrection to: A world renowned psychophysiologist: Kaoliang Chow
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Open AccessZing-Yang Kuo and behavior epigenesis based on animal experiments
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Tears stop the “pedophile” in mice: involvement of the vomeronasal system
The Olfactory system serves more than just sensory function. The detection of chemosensory cues in the environment can trigger different emotional and social responses. A recent study described a juvenile mice...
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Some progress in spectral methods
In this paper, we review some results on the spectral methods. We first consider the Jacobi spectral method and the generalized Jacobi spectral method for various problems, including degenerated and singular d...
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Article
Generalized Jacobi-Gauss-Lobatto interpolation
We introduce the generalized Jacobi-Gauss-Lobatto interpolation involving the values of functions and their derivatives at the endpoints, which play important roles in the Jacobi pseudospectral methods for hig...
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Article
Petrov-Galerkin spectral element method for mixed inhomogeneous boundary value problems on polygons
The authors investigate Petrov-Galerkin spectral element method. Some results on Legendre irrational quasi-orthogonal approximations are established, which play important roles in Petrov-Galerkin spectral elem...
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Legendre rational approximation on the whole line
The Legendre rational approximation is investigated. Some approximation results are established, which form the mathematical foundation of a new spectral method on the whole line. A model problem is considered...
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Analytic solutions of a reaction diffusion system arising in the theory of superconductivity
A reaction diffusion system arising in the theory of superconductivity is considered and its many kinds of analytic solutions are constructed by the Painlevé analysis and similarity reduction methods.
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A pseudospectral method for vorticity equations on spherical surface
The pseudospectral method for solving vorticity equations on spherical surface is discussed. An interpolation procedure, which is different from the usual ones, is proposed. Based on such an interpolation, the...
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Article
Fourier-Chebyshev spectral method for solving three-dimensional vorticity equation
A Fourier-Chebyshev spectral scheme is constructed for a three-dimensional vorticity equation. The generalized stability and convergence are proved strictly.
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Numerical Study of Nonlinear Waves
Since Zabusky and Kruskal discovered the important behaviour of solitons by computation in 1965, numerical study of nonlinear waves has developed rapidly, and become one of the active branches of numerical ana...
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Spectral-finite element method for solving two-dimensional vorticity equations
In this paper, we construct a spectral-finite element scheme for solving semi-periodical two-dimensional vorticity equations. The error between the genuine solution and approximate solution is estimated strict...
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The fourier pseudospectral method for three-dimensional vorticity equations
This paper develops the Fourier Pseudospectral Method to solve three-dimensional vorticity equations. The generalized stability is proved, from which the convergence follows with some assumptions.
