SPECTRAL_METHOD

作品数：153被引量：226H指数：8
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Application of Galerkin spectral method for tearing mode instability
《Chinese Physics B》2022年第11期179-187,共9页Wu Sun Jiaqi Wang Lai Wei Zhengxiong Wang Dongjian Liu Qiaolin He 
Project supported by the Sichuan Science and Technology Program(Grant No.22YYJC1286);the China National Magnetic Confinement Fusion Science Program(Grant No.2013GB112005);the National Natural Science Foundation of China(Grant Nos.12075048 and 11925501)。
Magnetic reconnection and tearing mode instability play a critical role in many physical processes.The application of Galerkin spectral method for tearing mode instability in two-dimensional geometry is investigated i...
关键词：Galerkin spectral method tearing mode instability magnetic reconnection MAGNETOHYDRODYNAMICS 
Second-Order Finite Difference/Spectral Element Formulation for Solving the Fractional Advection-Diffusion Equation
《Communications on Applied Mathematics and Computation》2020年第4期653-669,共17页Mostafa Abbaszadeh Hanieh Amjadian 
The authors are grateful to the two reviewers for carefully reading this paper and for their comments and suggestions which have highly improved the paper.
The main aim of this paper is to analyze the numerical method based upon the spectral element technique for the numerical solution of the fractional advection-diffusion equa-tion.The time variable has been discretized...
关键词：Spectral method Finite diference method Fractional advection-difusion equation Galerkin weak form Unconditional stability 
Numerical Approaches to Compute Spectra of Non-Self Adjoint Operators and Quadratic Pencils
《Journal of Mathematical Study》2020年第1期12-44,共33页Fatima Aboud Francois Jauberteau Guy Moebs Didier Robert 
supported by the research project DefiMaths of the Federation de Mathematiques des Pays de la Loire,CNRS FR 2962;supported by the CIMPA(International Center of Pure ans Applied Mathematics);Computations are done thanks to the computer of the CCIPL(Centre de Calcul Intensif des Pays de la Loire).
In this article we are interested in the numerical computation of spectra of non-self adjoint quadratic operators.This leads to solve nonlinear eigenvalue problems.We begin with a review of theoretical results for the...
关键词：Nonlinear eigenvalue problems SPECTRA PSEUDOSPECTRA finite difference methods Galerkin spectral method Hermite functions. 
A LEGENDRE GALERKIN SPECTRAL METHOD FOR OPTIMAL CONTROL PROBLEMS被引量：1
《Journal of Systems Science & Complexity》2011年第4期663-671,共9页Yanping CHEN Nianshi XIA Nianyu YI 
supported by the Foundation for Talent Introduction of Guangdong Provincial University,Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(2008);the National Natural Science Foundation of China under Grant No.10971074
This paper considers the Legendre Galerkin spectral approximation for the unconstralnea optimal control problems. The authors derive a posteriori error estimate for the spectral approximation scheme of optimal control...
关键词：Legendre-Galerkin optimal control spectral method. 
Galerkin Spectral Method Applied to the Chemical Master Equation
《Communications in Computational Physics》2009年第5期871-896,共26页Stefan Engblom 
The author is also indebted to Hermann Matthies for a long and valuable discussion during the IHP-EU Workshop“Breaking Complexity”in Bad Honnef,Germany.References[8,9,47,48]was kindly provided to the author by Peter Deuflhard and Michael Wulkow;Financial sup-port has been obtained from the Swedish National Graduate School in Mathematics and Computing.
Stochastic well-stirred chemically reacting systems can be accurately modeled by a continuous-time Markov-chain.The corresponding master equation evolves the system’s probability density function in time but can only...
关键词：Master equation spectral-Galerkin method high dimensional problem moving basis chemical reactions 
A posteriori error estimates of spectral method for optimal control problems governed by parabolic equations被引量：7
《Science China Mathematics》2008年第8期1376-1390,共15页CHEN YanPing HUANG YunQing YI NianYu 
the National Basic Research Program;the National Natural Science Foundation of China(Grant No.2005CB321703);Scientific Research Fund of Hunan Provincial Education Department;the Outstanding Youth Scientist of the National Natural Science Foundation of China(Grant No.10625106);the National Basic Research Program of China(Grant No.2005CB321701)
In this paper,we investigate the Legendre Galerkin spectral approximation of quadratic optimal control problems governed by parabolic equations.A spectral approximation scheme for the parabolic optimal control problem...
关键词：Legendre Galerkin spectral method optimal control problems parabolic state equations a posteriori error estimates 49J20 65M60 65M70 
THE NUMERICAL SOLUTION FOR A PARTIAL INTEGRO-DIFFERENTIAL EQUATION WITH A WEAKLY SINGULAR KERNEL
《Annals of Differential Equations》2006年第3期418-422,共5页Yu Zongshan Zeng Youdong (College of Math, and Computer Science, Fuzhou University, Fuzhou 350002) 
Supported by the Natural Science Foundation of Fujian Province (2001J009, Z0511015).
In this paper, a first order semi-discrete method of a partial integro-differential equation with a weakly singular kernel is considered. We apply Galerkin spectral method in one direction, and the inversion technique...
关键词：Laplace transform Galerkin spectral method weakly singular kernel Legendre polynomial 
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