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科研机构
山东大学 [12]
数学与系统科学研究院 [2]
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期刊论文 [14]
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2019 [2]
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A Fractional Spectral Collocation for Solving Second Kind Nonlinear Volterra Integral Equations with Weakly Singular Kernels
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 3, 页码: 1529-1548
作者:
Cai, Haotao
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|
浏览/下载：10/0
|
提交时间：2019/12/11
Nonlinear Volterra integral equations
Fractional spectral collocations
method
Convergence analysis
A Legendre-Petrov-Galerkin method for solving Volterra integro-differential equations with proportional delays
期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019, 卷号: 96, 期号: 5, 页码: 920-934
作者:
Cai, Haotao
;
Chen, Yanping
;
Huang, Yunqing
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浏览/下载：6/0
|
提交时间：2019/12/11
Volterra integro-differential equation with proportional delays
Legendre-Petrov-Galerkin method
stability analysis
convergence
analysis
spectral condition number
A Fractional Order Collocation Method for Second Kind Volterra Integral Equations with Weakly Singular Kernels
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 75, 期号: 2, 页码: 970-992
作者:
Cai, Haotao
;
Chen, Yanping
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|
浏览/下载：11/0
|
提交时间：2019/12/11
A fractional order collocations spectral method
Second kind Volterra
integral equations with weakly singular kernels
Stability analysis
Convergence analysis
Condition number
Convergence Analysis of Generalized Jacobi-Galerkin Methods for Second Kind Volterra Integral Equations with Weakly Singular Kernels
期刊论文
JOURNAL OF FUNCTION SPACES, 2017
作者:
Cai, Haotao
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浏览/下载：3/0
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提交时间：2019/12/12
A Legendre-Galerkin method for solving general Volterra functional integral equations
期刊论文
NUMERICAL ALGORITHMS, 2016, 卷号: 73, 期号: 4, 页码: 1159-1180
作者:
Cai, Haotao
;
Qi, Jiafei
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浏览/下载：3/0
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提交时间：2019/12/16
General Volterra functional integral equation
Legendre-Galerkin method
Stability analysis
Convergence analysis
Spectral condition constant
A Jacobi-collocation method for solving second kind Fredholm integral equations with weakly singular kernels
期刊论文
SCIENCE CHINA-MATHEMATICS, 2014, 卷号: 57, 期号: 10, 页码: 2163-2178
作者:
Cai HaoTao
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浏览/下载：4/0
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提交时间：2019/12/17
second kind Fredholm integral equations with weakly singular kernels
Jacobi-collocation methods
stability analysis
convergence analysis
A fast solver for the Hilbert-type singular integral equations based on the direct Fourier spectral method
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 卷号: 250, 页码: 83-95
作者:
Cai, Haotao
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浏览/下载：3/0
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提交时间：2019/12/23
The Hilbert-type singular integral equations
A fast solver
The direct
Fourier spectral method
The matrix truncation strategy
The numerical
integration scheme
The biconjugate gradient algorithm
The numerical integration scheme for a fast Petrov-Galerkin method for solving the generalized airfoil equation
期刊论文
CALCOLO, 2013, 卷号: 50, 期号: 2, 页码: 141-162
作者:
Cai, Haotao
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浏览/下载：3/0
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提交时间：2019/12/23
The generalized airfoil equation
A fast Petrov-Galerkin method
The
numerical integration scheme
A fast numerical solution for the first kind boundary integral equation for the Helmholtz equation
期刊论文
BIT NUMERICAL MATHEMATICS, 2012, 卷号: 52, 期号: 4, 页码: 851-875
作者:
Cai, Haotao
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浏览/下载：4/0
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提交时间：2019/12/23
Boundary integral equation method
Fast numerical solution
Matrix
truncation strategy
Numerical integration scheme
A fast solver for a hypersingular boundary integral equation
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2009, 卷号: 59, 期号: 8, 页码: 1960-1969
作者:
Cai, Haotao
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浏览/下载：3/0
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提交时间：2019/12/26
The hypersingular boundary integral equation
The matrix truncation
strategy
The numerical integration method
The multilevel augmentation
method
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