SPECTRAL_METHOD

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Prediction of velocity and pressure of gas-liquid flow using spectrum-based physics-informed neural networks
《Applied Mathematics and Mechanics(English Edition)》2025年第2期341-356,共16页Nanxi DING Hengzhen FENG H.Z.LOU Shenghua FU Chenglong LI Zihao ZHANG Wenlong MA Zhengqian ZHANG 
Supported by the National Natural Science Foundation of China(No.62304022)。
This research introduces a spectrum-based physics-informed neural network(SP-PINN)model to significantly improve the accuracy of calculation of two-phase flow parameters,surpassing existing methods that have limitatio...
关键词：physics-informed neural network(PINN) spectral method two-phase flow parameter prediction 
Chebyshev spectral variational integrator and applications被引量：2
《Applied Mathematics and Mechanics(English Edition)》2020年第5期753-768,共16页Zhonggui YI Baozeng YUE Mingle DENG 
the National Natural Science Foundation of China (Nos. 11472041,11532002,11772049,and 11802320)。
The Chebyshev spectral variational integrator(CSVI) is presented in this paper. Spectral methods have aroused great interest in approximating numerically a smooth problem for their attractive geometric convergence rat...
关键词：geometric numerical method spectral method variational integrator Clenshaw-Curtis quadrature rule barycentric Lagrange interpolation orbital propagation 
Direct spectral domain decomposition method for 2D incompressible Navier-Stokes equations
《Applied Mathematics and Mechanics(English Edition)》2015年第8期1073-1090,共18页Benwen LI Shangshang CHEN 
Project supported by the National Natural Science Foundation of China(No.51176026);the Fundamental Research Funds for the Central Universities(No.DUT14RC(3)029)
An efficient direct spectral domain decomposition method is developed coupled with Chebyshev spectral approximation for the solution of 2D, unsteady and in- compressible Navier-Stokes equations in complex geometries. ...
关键词：incompressible Navier-Stokes equation domain decomposition influencematrix technique Chebyshev collocation spectral method 
Direct numerical simulation of flow in channel with time-dependent wall geometry
《Applied Mathematics and Mechanics(English Edition)》2010年第1期97-108,共12页葛铭纬 许春晓 崔桂香 
supported by the National Natural Science Foundation of China (No. 10772098)
A numerical scheme is developed to extend the scope of the spectral method without solving the covariant and contravariant forms of the Navier-Stokes equations in the curvilinear coordinates. The primitive variables a...
关键词：spectral method time-dependent wall geometry turbulent flow 
Mixed spectral method for exterior problems of Navier-Stokes equations by using generalized Laguerre functions
《Applied Mathematics and Mechanics(English Edition)》2009年第5期561-574,共14页焦裕建 郭本瑜 
supported by the National Natural Science Foundation of China (No.10871131);the Science and Technology Commission of Shanghai Municipality (No.075105118);the Shanghai Leading Academic Discipline Project (No.S30405);the Fund for E-institutes of Shanghai Universities(No.E03004)
In this paper, we investigate the mixed spectral method using generalized Laguerre functions for exterior problems of fourth order partial differential equations. A mixed spectral scheme is provided for the stream fun...
关键词：spectral method exterior problems of fourth order Navier-Stokes equations 
Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations
《Applied Mathematics and Mechanics(English Edition)》2008年第4期453-476,共24页黄伟 郭本瑜 
Project supported by the National Natural Science Foundation of China(No.10771142);Science and Technology Commission of Shanghai Municipality(No.75105118);Shanghai Leading Academic Discipline Projects(Nos.T0401 and J50101);Fund for E-institutes of Universities in Shanghai(No.E03004);and Innovative Foundation of Shanghai University(No.A.10-0101-07-408)
A fully discrete Jacobi-spherical harmonic spectral method is provided for the Navier-Stokes equations in a ball. Its stability and convergence are proved. Numerical results show efficiency of this approach. The propo...
关键词：fully discrete Jacobi-spherical harmonic spectral method Navier-Stokes equations in a ball mixed coordinates 
NUMERICAL STUDY OF A NONLINEAR INTEGRODIFFERENTIAL EQUATION
《Applied Mathematics and Mechanics(English Edition)》1998年第11期0-0,0-0+0,共5页朱勇 
In this Paper. by using the pseudo-spectral method of Fornberg and Whitham, a nonlinear integrodifferential equations is investigated numerically. It is found that for small ∈, the result is close to that of the KdV ...
关键词：integrodifferential equation spectral method solitary waves 
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 
Spectral Method for Semilinear Parabolic Integrodifferential Equations
《Applied Mathematics and Mechanics(English Edition)》1995年第2期187-194,共8页刘小清 吴声昌 
Based on the discussion of the semidiscretization of a parabolic equation with asemilinear memory term,an error estimate is derived for the fully discrete scheme with spectral method in space and the backward Euler me...
关键词：PARABOLIC integrodifferential equation. spectral method. back-ward Euler method 
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