SPECTRAL_METHOD

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Fourier time spectral method for subsonic and transonic flows
《Acta Mechanica Sinica》2016年第3期380-396,共17页Lei Zhan Feng Liu Dimitri Papamoschou 
supported by the State Scholarship Fund of the China Scholarship Council (Grant 2009629129)
The time accuracy of the exponentially accurate Fourier time spectral method(TSM) is examined and compared with a conventional 2nd-order backward difference formula(BDF) method for periodic unsteady flows. In part...
关键词:Fourier time spectral method(TSM) Pitching airfoil Transonic flow Non-symmetric solution Computational efficiency Vortex shedding flow Frequency search 
A Spectral Method in Time for Initial-Value Problems
《American Journal of Computational Mathematics》2012年第3期173-193,共21页Jan Scheffel 
A time-spectral method for solution of initial value partial differential equations is outlined. Multivariate Chebyshev series are used to represent all temporal, spatial and physical parameter domains in this general...
关键词:Initial-Value Problem WRM Time-Spectral SPECTRAL Method CHEBYSHEV POLYNOMIAL Fluid Mechanics MHD 
THE DYNAMICAL BEHAVIOR OF FULLY DISCRETE SPECTRAL METHOD FOR NONLINEAR SCHRODINGER EQUATION WITH WEAKLY DAMPED被引量:3
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1999年第2期165-176,共12页向新民 
Nonlinear Schrodinger equation (NSE) arises in many physical problems. It is a very important equation. A lot of works studied the wellposed, the existence of solution of NSE etc. And there are many works studied the ...
关键词:nonlinear SCHRODINGER equation INFINITE dimensional dynamic system dynamical behavior fully discrete spectral method large TIME convergence difference scheme vrich TIME differ- 
THE LARGE TIME CONVERGENCE OF SPECTRAL METHOD FOR GENERALIZED KURAMOTO-SIVASHINSKY EQUATION (Ⅱ)被引量:1
《Journal of Computational Mathematics》1998年第3期203-212,共10页Xin-ming Xiang (Shanghai Normal University, Shanghai 200234, China) 
Supported by the National Fund of Natueal Sciences and by Science and Technology Fund ofShanghai Higher Education
In this paper, we study fully discrete spectral method and long time behavior of solution of generalized Kuramoto-Sivashinsky equation with periodic initial condition. We prove that the large time error estimation fo...
关键词:Kuramoto- Sivashinsky equation large time convergence Approximate attractor Upper semicontinuity of attractors. 
CONVERGENCE OF SPECTRAL METHOD IN TIME FOR BURGERS' EQUATION被引量:1
《Acta Mathematicae Applicatae Sinica》1997年第3期314-320,共6页吴声昌 刘小清 
For solving Burgers' equation with periodic boundary conditions, this paper preseats a fully spectral discretisation method: Fourier Galerkin approximation in the spatial direction and Chebyshev pseudospectral approxi...
关键词:Spectral method Burgers' equation Galerkin approximation pseudospectral approximation 
THE LARGE TIME CONVERGENCE OF SPECTRAL METHOD FOR GENERALIZED KURAMOTO-SIVASHINSKY EQUATIONS被引量:1
《Journal of Computational Mathematics》1997年第1期1-13,共13页Guo, B Xiang, XM 
In this paper we use the spectral method to analyse the generalized Kuramoto-Sivashinsky equations. We prove the existence and uniqueness of global smooth solution of the equations. Finally, we obtain the error estima...
关键词:UN EH THE LARGE TIME CONVERGENCE OF SPECTRAL METHOD FOR GENERALIZED KURAMOTO-SIVASHINSKY EQUATIONS 
SPECTRAL METHOD IN TIME FOR KdV EQUATIONS被引量:1
《Applied Mathematics and Mechanics(English Edition)》1996年第4期373-378,共6页吴声昌 刘小清 
This paper presents a fully spectral discretization method for solving KdV equations with periodic boundary conditions.Chebyshev pseudospectral approximation in the time direction and Fourier Galerkin approximation in...
关键词:KdV equation spectral method Galerkin approximation pseudospectral approximation 
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