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>>
-
在结果中检索

检索结果分析

结果分析中...
选择条件：
  • 主题=JACOBIx
共 条 记 录，以下是1-8
全选清除导出
参考文献引证文献引用追踪
视图：
排序：
A SPECTRAL METHOD FOR A WEAKLY SINGULAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION WITH PANTOGRAPH DELAY
《Acta Mathematica Scientia》2022年第1期387-402,共16页Weishan ZHENG Yanping CHEN 
supported by the State Key Program of National Natural Science Foundation of China(11931003);the National Natural Science Foundation of China(41974133,11671157)。
In this paper,a Jacobi-collocation spectral method is developed for a Volterraintegro-differential equation with delay,which contains a weakly singular kernel.We use a function transformation and a variable transforma...
关键词：Volterra integro-differential equation pantograph delay weakly singular kernel Jacobi-collocation spectral methods error analysis convergence analysis 
A Unified Petrov-Galerkin Spectral Method and Fast Solver for Distributed-Order Partial Differential Equations
《Communications on Applied Mathematics and Computation》2021年第1期61-90,共30页Mehdi Samiee Ehsan Kharazmi Mark M.Meerschaert Mohsen Zayernouri 
This work was supported by the AFOSR Young Investigator Program(YIP)award(FA9550-17-1-0150),the MURI/ARO(W911NF-15-1-0562);tthe National Science Foundation Award(DMS-1923201);the ARO Young Investigator Program Award(W911NF-19-1-0444)。
Fractional calculus and fractional-order modeling provide effective tools for modeling and simulation of anomalous diffusion with power-law scalings.In complex multi-fractal anomalous transport phenomena,distributed-o...
关键词：Distributed Sobolev space Well-posedness analysis Discrete inf-sup condition Spectral convergence Jacobi poly-fractonomials Legendre polynomials 
Spectral method for multidimensional Volterra integral equation with regular kernel被引量：1
《Frontiers of Mathematics in China》2019年第2期435-448,共14页Yunxia WEI Yanping CHEN Xiulian SHI Yuanyuan ZHANG 
the National Natural Science Foundation of China (Grant Nos. 11671157, 11826212).
This paper is concerned with obtaining an approximate solution for a linear multidimensional Volterra integral equation with a regular kernel. We choose the Gauss points associated with the multidimensional Jacobi wei...
关键词：MULTIDIMENSIONAL VOLTERRA integral equation JACOBI COLLOCATION discretization: MULTIDIMENSIONAL GAUSS quadrature formula 
Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations
《Advances in Applied Mathematics and Mechanics》2018年第6期1440-1458,共19页Xingfa Yang Yin Yang Yanping Chen Jie Liu 
The author would like to thank the referees for the helpful suggestions.The work was supported by NSFC Project(Nos.11671342,91430213,11671157 and 11771369);Project of Scientific Research Fund of Hunan Provincial Science and Technology Department(No.2018JJ2374);Key Project of Hunan Provincial Department of Education(No.17A210).
In this paper,we study a class of nonlinear fractional integro-differential equations,the fractional derivative is described in the Caputo sense.Using the properties of the Caputo derivative,we convert the fractional ...
关键词：Spectral method NONLINEAR fractional derivative Volterra integro-differential equations Caputo derivative 
A Spectral Method for Neutral Volterra Integro-Differential Equation with Weakly Singular Kernel被引量：1
《Numerical Mathematics(Theory,Methods and Applications)》2013年第2期424-446,共23页Yunxia Wei Yanping Chen 
supported by Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(2008);National Science Foundation of China(10971074);Specialized Research Fund for the Doctoral Program of Higher Education(20114407110009).
This paper is concerned with obtaining an approximate solution and an approximate derivative of the solution for neutral Volterra integro-differential equation with a weakly singular kernel.The solution of this equati...
关键词：Neutral Volterra integro-differential equation weakly singular kernel Jacobi collocation discretization convergence analysis 
SPECTRAL METHOD FOR MIXED INHOMOGENEOUS BOUNDARY VALUE PROBLEMS IN THREE DIMENSIONS被引量：1
《Journal of Computational Mathematics》2012年第6期579-600,共22页Tianjun Wang Benyu Guo Wei Li 
In this paper, we investigate spectral method for mixed inhomogeneous boundary value problems in three dimensions. Some results on the three-dimensional Legendre approxima- tion in Jacobi weighted Sobolev space are es...
关键词：Three-dimensional Legendre approximation in Jacobi weighted Sobolev space Lifting technique Spectral method for mixed inhomogeneous boundary value problems. 
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 
Black-Scholes方程的Jacobi有理谱方法被引量：2
《高等学校计算数学学报》2005年第S1期153-158,共6页王中庆 郭本瑜 
国家自然科学基金(10471095)上海市教委基金(04DB15)上海市科委基金(04JC14062)教育部基金(20040270002)上海市重点学科建设基金(T0401)上海高校计算科学E-研究院基金(E03004).
1 引言无界区域问题的有理谱方法已经得到广泛地应用．它有很多优点,特别是我们不需要添加任何人工边界以及作任何变量变换就可以直接逼近微分方程．此外,Jacobi 有理谱方法可以用来数值求解变系数的微分方程,如金融数学中的基本方程-Bl...
关键词：Jacobi rational spectral method Black-Scholes equation. 
全选清除导出
共1页<1>
检索报告 对象比较 聚类工具 使用帮助 返回顶部