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MONOTONE APPROXIMATION TO A SYSTEM WITHOUT MONOTONE NONLINEARITY

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Journal of Computational Mathematics 2000年第2期18卷 207-224页

作者： yuan-ming Wang ben-yu guo Department of Mathematics East China Normal UniversityShanghai 200062China School of Mathematical Sciences Shanghai Normal UniversityShanghai 200234China

Presents information on a study which proposed a monotone approximation for a system without monotone nonlinearity. Concept of ordered pair of supersolution and subsolution for the resulting problem; Numerical results.

关键词： monotone approximation systems without monotone nonlinearity

COMPOSITE LEGENDRE-LAGUERRE APPROXIMATION IN UNBOUNDED DOMAINS

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Journal of Computational Mathematics 2001年第1期19卷 101-112页

作者： ben-yu guo He-ping Ma Department of Mathematics Shanghai Normal UniversityShanghai 200234China Department of Mathematics Shanghai UniversityJiadingShanghai 201800China

Examines the development of the composite legendre approximation in unbounded domains. Proof of the stability and convergence of a proposed scheme; Discussion of two-dimensional exterior problems; Error estimations.

关键词： composite spectral approximation unbounded domains exterior problems

Te-Pei Feng:a pioneer of neuromuscular physiology in China

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Protein & Cell 2022年第6期13卷 387-393页

作者： Wei Xie ben-yu guo Yanyan Qian School of Psychology Nanjing Normal UniversityNanjing210097China Social and Behavioral Sciences Faculty Leiden University2333ACLeidenThe Netherlands

Te-Pei Feng(冯德培,1907–1995),was a famous Chinese neurophysiologist and also one of the pioneers of modern physiological researches in China(Fig.1).He mainly studied chemical transmission at the neuromuscular junction,the biological characteristic of high and low contraction speed muscles,and the long-term potentiation(LTP)function of the brain(Jin,2007).Richard Wuyin Tsien(钱永佑)of Stanford University highly valued Feng’s contributions to neurology in China,stating that,“It is safe to say that the past and the future of neuroscience in China would be very different had professor Feng not provided leadership,by dint of organization,persuasion and strong personal ***,Feng’s remarkable life and career spanned a lengthy epoch of history,in both the world and scientific arenas。

关键词： epoch contraction pioneer

The Secret of Fear Memory Attenuation: Facing Fears

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Neuroscience Bulletin 2019年第4期35卷 775-777页

作者： Yan-Chen guo Tifei yuan ben-yu guo School of Psychology Nanjing Normal University Nanjing 210097 China Shanghai Key Laboratory of Psychotic Disorders Shanghai Mental Health Center Shanghai Jiao Tong University School of Medicine Shanghai 200030 China

Exposure therapy, an effective treatment for fear disorders, requires memory retrieval of previous horror experiences in controllable environment. However, it remains unknown whether previous fear memories have been updated [1] or inhibited [2] during the formation of new memories, as well as the underlying neural mechanisms involved (eg. the type of cells engaged in this process).

关键词： Secret Fear Memory Attenuation Facing Fears

JACOBI PSEUDOSPECTRAL METHOD FOR FOURTH ORDER PROBLEMS

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Journal of Computational Mathematics 2006年第4期24卷 481-500页

作者： Zheng-su Wan ben-yu guo Zhong-qing Wang Department of Mathematics Hunan Institute of Science and Technology Yueyang 414006 China Department of Mathematics Shanghai Normal University 200234 China Division of Computational Science of Einstitute of Shanghai Universities

In this paper, we investigate Jacobi pseudospectral method for fourth order problems. We establish some basic results on the Jacobi-Gauss-type interpolations in non-uniformly weighted Sobolev spaces, which serve as important tools in analysis of numerical quadratures, and numerical methods of differential and integral equations. Then we propose Jacobi pseudospectral schemes for several singular problems and multiple-dimensional problems of fourth order. Numerical results demonstrate the spectral accuracy of these schemes, and coincide well with theoretical analysis.

关键词： Jacobi pseudospectral method Differential equations of fourth order Singular problems.

CHEBYSHEV SPECTRAL-FINITE ELEMENT METHOD FOR TWO-DIMENSIONAL UNSTEADY NAVIER-STOKES EQUATION

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Journal of Computational Mathematics 2002年第1期20卷 65-78页

作者： ben-yu guo Song-nian He He-ping Ma School of Mathematical Sciences Shanghai Normal UniversityShanghai 200234China Department of Foundamentary Sciences Aircraft College of ChinaTianjin 300300China Department of Mathematics Shanghai University

Proposes a mixed Chebyshev spectral-finite element method for solving two-dimensional unsteady Navier-Stokes equation. Information on the spectral method; Discussion; Error estimations.

关键词： Navier-Stokes equation Chebyshev spectral-finite element method

LAGUERRE PSEUDOSPECTRAL METHOD FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

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Journal of Computational Mathematics 2002年第4期20卷 413-428页

作者： Cheng-long Xu ben-yu guo Department of Mathematics Tongji UniversityShanghai 200092China Department of Mathematics Shanghai Normal UniversityShanghai 200234China

The Laguerre Gauss-Radau interpolation is investigated. Some approximation results are obtained. As an example, the Laguerre pseudospectral scheme is constructed for the BBM equation. The stability and the convergence... 详细信息

关键词： Laguerre pseudospectral method nonlinear differential equations

A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions

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Numerical Mathematics(Theory,Methods and Applications) 2011年第2期4卷 283-295页

作者： Jian-Ping Yan ben-yu guo 无 Department of Mathematics Shanghai Normal UniversityShanghai200234P.R.China Guangdong University of Finance 510521.2 Department of MathematicsShanghai Normal UniversityShanghai200234P.R.China Scientific Computing Key Laboratory of Shanghai Universities Division of Computational Science of E-institute of Shanghai Universities

We propose a collocation method for solving initial value problems of secondorder ODEs by using modified Laguerre *** new process provides global numerical *** results demonstrate the efficiency of the proposed algori... 详细信息

关键词： Laguerre-Gauss collocation method using modified Laguerre functions initial value problems of second-order ODEs

Laguerre Spectral Method for High Order Problems

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Numerical Mathematics(Theory,Methods and Applications) 2013年第3期6卷 520-537页

作者： Chao Zhang ben-yu guo Tao Sun Department of Mathematics Jiangsu Normal UniversityXuzhou221116JiangsuChina Department of Mathematics Shanghai Normal UniversityShanghai200234China&Scientific Computing Key Laboratory of Shanghai Universities&Division of Computational Science of E-institute of Shanghai Universities Department of Applied Mathematics Shanghai Finance UniversityShanghai201209China

In this paper,we propose the Laguerre spectral method for high order problems with mixed inhomogeneous boundary *** is also available for approximated solutions growing fast at *** spectral accuracy is *** results d... 详细信息

关键词： Laguerre spectral method high order problems with mixed inhomogeneous boundary conditions