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检索条件"主题词=Reproducing kernel function"
22 条 记 录,以下是11-20 订阅
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A NUMERICAL METHOD FOR THE GENERALIZED REGULARIZED LONG WAVE EQUATION USING A reproducing kernel function
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SIAM JOURNAL ON SCIENTIFIC COMPUTING 2008年 第5期30卷 2263-2285页
作者: Xie, Shusen Kim, Seokchan Woo, Gyungsoo Yi, Sucheol Ocean Univ China Dept Math Qingdao 266071 Peoples R China Changwon Natl Univ Dept Appl Math Chang Won 641773 South Korea
A new numerical method for solving the generalized regularized long wave equation is devised and analyzed. By using a reproducing kernel function, the numerical solution at each discrete time step is obtained by an ex... 详细信息
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Numerical solution of one-dimensional Burgers' equation using reproducing kernel function
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2008年 第2期214卷 417-434页
作者: Xie, Shu-Sen Heo, Sunyeong Kim, Seokchan Woo, Gyungsoo Yi, Sucheol Ocean Univ China Dept Math Qingdao 266071 Peoples R China Changwon Natl Univ Dept Stat Chang Won 641773 South Korea Changwon Natl Univ Dept Appl Math Chang Won 641773 South Korea
This paper presents a numerical method for one-dimensional Burgers' equation by the Hopf-Cole transformation and a reproducing kernel function, abbreviated as RKF. The numerical solution is given as explicit integ... 详细信息
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The Image Space of Meyer Wavelet Transform
The Image Space of Meyer Wavelet Transform
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2nd International Conference on Measurement, Information and Control (ICMIC)
作者: Zhang, Xuying Deng, Caixia Han, Yao Harbin Univ Sci & Technol Sch Appl Sci Harbin Peoples R China
Meyer wavelet is a classic wavelet, it has many good properties. For example derivation infinitely, smoothness, attenuates fast and its spectrum is finite, Meyer wavelet is beneficial to numerical calculate, so it app... 详细信息
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A numerical solution to nonlinear second order three-point boundary value problems in the reproducing kernel space
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APPLIED MATHEMATICS AND COMPUTATION 2012年 第14期218卷 7362-7368页
作者: Lin, Yingzhen Niu, Jing Cui, Minggen Harbin Inst Technol Dept Math Weihai 264209 Shandong Peoples R China Harbin Normal Univ Sch Math & Sci Harbin 150025 Heilongjiang Peoples R China
In this paper, a new numerical algorithm is provided to solve nonlinear three-point boundary value problems in a very favorable reproducing kernel space which satisfies all boundary conditions. Its reproducing kernel ... 详细信息
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Homogeneous operators on Hilbert spaces of holomorphic functions
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JOURNAL OF functionAL ANALYSIS 2008年 第9期254卷 2419-2436页
作者: Koranyi, Adam Misra, Gadadhar Indian Inst Sci Dept Math Bangalore 560012 Karnataka India CUNY Herbert H Lehman Coll Bronx NY 10468 USA
In this paper we construct a large class of multiplication operators on reproducing kernel Hilbert spaces which are homogeneous with respect to the action of the Mobius group consisting of bi-holomorphic automorphisms... 详细信息
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A characteristic operator function for the class of n-hypercontractions
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JOURNAL OF functionAL ANALYSIS 2006年 第2期236卷 517-545页
作者: Olofsson, Anders Falugatan 22 1tr SE-11332 Stockholm Sweden
We consider a class of bounded linear operators on Hilbert space called n-hypercontractions which relates naturally to adjoint shift operators on certain vector-valued standard weighted Bergman spaces on the unit disc... 详细信息
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Asymptotic behaviour of orthogonal polynomials on the unit circle with asymptotically periodic reflection coefficients II. Weak asymptotics
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JOURNAL OF APPROXIMATION THEORY 2000年 第1期105卷 102-128页
作者: Peherstorfer, F Steinbauer, R Johannes Kepler Univ Linz Inst Anal & Numer A-4040 Linz Austria Ohio State Univ Dept Math Columbus OH 43210 USA
In this paper we study orthogonal polynomials with asymptotically periodic reflection coefficients. It's known that the support of the orthogonality measure of such polynomials consists of several arcs. We are mai... 详细信息
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On reproducing kernel Hilbert spaces of polynomials
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MATHEMATISCHE NACHRICHTEN 1997年 第1期185卷 115-148页
作者: Li, XJ Austin [*]Department of Mothematics The University of Texas at Austin Austin Texas 78716 USA
Certain Hilbert spaces of polynomials, called Szego spaces [II], are studied. A transformation, called Hilbert transformation, is constructed for every polynomial associated with a Szego space. An orthogonal set is fo... 详细信息
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reproducing kernel PARTICLE METHODS
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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 1995年 第8-9期20卷 1081-1106页
作者: LIU, WK JUN, S ZHANG, YF Department of Mechanical Engineering Northwestern University 2145 Sheridan Road Evanston IL 60208 U.S.A.
A new continuous reproducing kernel interpolation function which explores the attractive features of the flexible time-frequency and space-wave number localization of a window function is developed. This method is mot... 详细信息
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AN EXTENSION OF THE FUGLEDE COMMUTATIVITY THEOREM MODULO THE HILBERT-SCHMIDT CLASS TO OPERATORS OF THE FORM SIGMA-MNXNN
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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 1983年 第1期278卷 1-20页
作者: WEISS, G Department of Mathematical Sciences University of Cincinnati Cincinnati OH 45221 United States
Abstract: We study the operators $\Delta (X) = \sum \nolimits _1^n {{M_n}X{N_n}}$ and ${\Delta ^{\ast }}(X) = \sum \nolimits _1^n {M_n^{\ast }XN_n^{\ast }}$ which map the algebra of all bounded linear operator... 详细信息
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