云南高校图书馆联盟文献共享服务平台- SPECTRAL

SPECTRAL_METHOD: 作品数：153被引量：226H指数：8; 导出分析报告; 相关作者：郭本瑜许卓韩立国周岩张盼更多>>; 相关机构：华东师范大学吉林大学上海师范大学上海大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金上海市教育委员会重点学科基金更多>>

A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems: 《Advances in Applied Mathematics and Mechanics》2023年第3期568-582,共15页Juan Zhang Jiabin Song Huanzhen Chen; This work was partly supported by National Natural Science Foundation of China(Grant Nos.:12101283,12271233 and 12171287);Natural Science Foundation of Shandong Province(Grant Nos.:ZR2019YQ05,2019KJI003,and ZR2016JL004).; The fractional optimal control problem leads to significantly increased computational complexity compared to the corresponding classical integer-order optimal control problem,due to the global properties of fractional...; 关键词：Fractional optimal control problem state constraint spectral method Jacobi polynomial a priori error estimate

Review:Recent Development of High⁃Order⁃Spectral Method Combined with Computational Fluid Dynamics Method for Wave⁃Structure Interactions被引量：1: 《Journal of Harbin Institute of Technology(New Series)》2020年第3期170-188,共19页Yuan Zhuang Decheng Wan; National Natural Science Foundation of China(Grant No.51879159);the National Key Research and Development Program of China(Grant Nos.2019YFB1704200 and 2019YFC0312400);the Chang Jiang Scholars Program(Grant No.T2014099);the Shanghai Excellent Academic Leaders Program(Grant No.17XD1402300);the Innovative Special Project of Numerical Tank of Ministry of Industry and Information Technology of China(Grant No.2016-23/09).; The present paper reviews the recent developments of a high⁃order⁃spectral method(HOS)and the combination with computational fluid dynamics(CFD)method for wave⁃structure interactions.As the numerical simulations of wa...; 关键词：potential⁃viscous flow high⁃order⁃spectral(HOS)method computational fluid dynamics(CFD)method

A Spectral Method for the Electrohydrodynamic Flow in a Circular Cylindrical Conduit被引量：1: 《Chinese Annals of Mathematics,Series B》2015年第2期307-322,共16页Mohsen MOGHTADAEI Hassan SABERI NIK Saeid ABBASBANDY; This paper presents a combination of the hybrid spectral collocation technique and the spectral homotopy analysis method(SHAM for short) for solving the nonlinear boundary value problem(BVP for short) for the electroh...; 关键词：Spectral collocation Spectral homotopy analysis method Optimal convergence-control parameters Electrohydrodynamic flow

Spectral Optimization Methods for the Time Fractional Diffusion Inverse Problem被引量：2: 《Numerical Mathematics(Theory,Methods and Applications)》2013年第3期499-519,共21页Xingyang Ye Chuanju Xu; The work of X.Y was partially supported by the Natural Science Foundation of Fujian Province,China(Grant No.2012J01013);The work of C.X.was partially supported by National NSF of China(Grants 11071203 and 91130002).; An inverse problem of reconstructing the initial condition for a time fractional diffusion equation is investigated.On the basis of the optimal control framework,the uniqueness and first order necessary optimality co...; 关键词：Time fractional diffusion equation inverse problem spectral method error estimate conjugate gradient method.

Chebyshev super spectral viscosity method for water hammer analysis被引量：2: 《Propulsion and Power Research》2013年第3期201-207,共7页Hongyu Chen Hongjun Liu Jianhua Chen Lingjiu Wu; In this paper,a new fast and efficient algorithm,Chebyshev super spectral viscosity(SSV)method,is introduced to solve the water hammer equations.Compared with standard spectral method,the method's advantage essentiall...; 关键词：Liquid propellant rocket engine(LPRE) Propellant transfer Water hammer Spectral method Super spectral viscosity(SSV) Numerical simulation

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

An Efficient and Accurate Spectral Method for Acoustic Scattering in Elliptic Domains: 《Numerical Mathematics(Theory,Methods and Applications)》2009年第3期258-274,共17页Qirong Fang Jie Shen Li-Lian Wang; supported in part by NSF grant DMS-0610646;supported by AcRF Tier 1 Grant RG58/08;Singapore MOE Grant T207B2202;Singapore NRF2007IDM-IDM002-010; An efficient and accurate method for solving the two-dimensional Helmholtz equation in domains exterior to elongated obstacles is developed in this paper.The method is based on the so called transformed field expansio...; 关键词：Acoustic scattering high-order methods boundary perturbations spectral-Galerkinmethods.

A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard Equation with Elasticity: 《Communications in Computational Physics》2009年第2期582-599,共18页W.M.Feng P.Yu S.Y.Hu Z.K.Liu Q.Du L.Q.Chen; This work has been supported by the National Science Foundation Information Technol-ogy Research Project(NSF-ITR)through Grant DMR-0205232;The work of Qiang Du is also supported by NSF-DMS 0712744.; In recent years,Fourier spectral methods have emerged as competitive numerical methods for large-scale phase field simulations of microstructures in computational materials sciences.To further improve their effectiven...; 关键词：Phase field diffuse interface moving mesh adaptive mesh Fourier-spectral method adaptive spectral method Cahn-Hilliard equation ELASTICITY

The impact of frequency aliasing on spectral method of measuring T wave alternans: 《Journal of Biomedical Science and Engineering》2009年第2期102-105,共4页Di-Hu Chen Sheng Yang; In this paper we investigate frequency aliasing in spectral method of measuring T wave alter-nans, which may lead a high false positive rate. Microvolt T wave alternans(TWA) has been evaluated as a means of predicting...; 关键词：TWA Sampling SPECTRAL method FREQUENCY ALIASING

A Spectral Finite Difference Analysis of Natural Convection in a Rectangular Equilateral Triangle Cavity: 《Journal of Thermal Science》2000年第1期93-96,共4页Yoshihiro Mochimaru; A steady-state two-dimensional natural convection in a rectangular equilateral triangle cavity is analyzed numerically, using a spectral finite difference scheme, where a conformal mapping coordinate system is adopted...; 关键词：spectral method finite difference natural convection

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