An $h$-$p$ version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays

Journal of Integral Equations and Applications ◽

10.1216/jie.2020.32.101 ◽

2020 ◽

Vol 32 (1) ◽

pp. 101-128

Author(s):

Lina Wang ◽

Lijun Yi ◽

Hongli Jia

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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Preconditioning Chebyshev Spectral Collocation Method for Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142994275998 ◽

1996 ◽

Vol 33 (6) ◽

pp. 2375-2400 ◽

Author(s):

Sang Dong Kim ◽

Seymour V. Parter

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Elliptic Partial Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Partial Differential ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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High performance solution of partial differential equations discretized using a Chebyshev spectral collocation method

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(95)00029-1 ◽

1996 ◽

Vol 69 (1) ◽

pp. 71-80 ◽

Author(s):

Cliff Cyphers ◽

Marcin Paprzycki ◽

Andreas Karageorghis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

High Performance ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Partial Differential ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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An hp-Version Chebyshev Spectral Collocation Method for Nonlinear Volterra Integro-Differential Equations with Weakly Singular Kernels

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0104 ◽

2019 ◽

Vol 12 (3) ◽

pp. 969-994

Author(s):

Hongli Jia

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Chebyshev Spectral Collocation ◽

Singular Kernels ◽

Chebyshev Spectral Collocation Method

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Multi-step Chebyshev spectral collocation method for Volterra integro-differential equations

CALCOLO ◽

10.1007/s10092-015-0162-z ◽

2015 ◽

Vol 53 (4) ◽

pp. 559-583 ◽

Author(s):

Zhendong Gu

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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Anh-pversion of the Chebyshev spectral collocation method for nonlinear delay differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22318 ◽

2018 ◽

Vol 35 (2) ◽

pp. 664-680

Author(s):

Tingting Meng ◽

Zhongqing Wang ◽

Lijun Yi

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Delay Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Chebyshev Spectral Collocation Method ◽

Nonlinear Delay

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Chebyshev spectral collocation method for stochastic delay differential equations

Advances in Difference Equations ◽

10.1186/s13662-015-0447-1 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Zhengwei Yin ◽

Siqing Gan

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Delay Differential Equations ◽

Spectral Collocation Method ◽

Stochastic Delay Differential Equations ◽

Spectral Collocation ◽

Stochastic Delay ◽

Chebyshev Spectral Collocation ◽

Delay Differential ◽

Chebyshev Spectral Collocation Method

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A New Chebyshev Spectral-collocation Method for Solving a Class of One-dimensional Linear Parabolic Partial Integro-differential Equations

British Journal of Mathematics & Computer Science ◽

10.9734/bjmcs/2015/14353 ◽

2015 ◽

Vol 6 (3) ◽

pp. 172-186

Author(s):

Galal El–Baghdady ◽

M. El–Azab

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

One Dimensional ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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Nash equilibrium approximation of some class of stochastic differential games: A combined Chebyshev spectral collocation method with policy iteration

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.05.014 ◽

2019 ◽

Vol 362 ◽

pp. 41-54 ◽

Author(s):

Z. Nikooeinejad ◽

M. Heydari

Keyword(s):

Nash Equilibrium ◽

Differential Games ◽

Collocation Method ◽

Stochastic Differential Games ◽

Policy Iteration ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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Chebyshev spectral-collocation method for Volterra integral equations

Recent Advances in Scientific Computing and Applications - Contemporary Mathematics ◽

10.1090/conm/586/11637 ◽

2013 ◽

pp. 163-170 ◽

Author(s):

Zhendong Gu ◽

Yanping Chen

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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A Chebyshev Spectral Collocation Method for the Solution of the Reynolds Equation of Lubrication

Journal of Computational Physics ◽

10.1006/jcph.1993.1089 ◽

1993 ◽

Vol 106 (1) ◽

pp. 42-51 ◽

Author(s):

Peter E. Raad ◽

Andreas Karageorghis

Keyword(s):

Collocation Method ◽

Reynolds Equation ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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