A multiple-scale higher order polynomial collocation method for 2D and 3D elliptic partial differential equations with variable coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.03.021 ◽

2018 ◽

Vol 331 ◽

pp. 430-444 ◽

Author(s):

Guojun Liu ◽

Wentao Ma ◽

Hailong Ma ◽

Lin Zhu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Multiple Scale ◽

Elliptic Partial Differential Equations ◽

Variable Coefficients ◽

Higher Order ◽

Order Polynomial ◽

2D And 3D ◽

Polynomial Collocation

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Higher Order Sparse Grid Methods for Elliptic Partial Differential Equations with Variable Coefficients

Computing ◽

10.1007/s00607-003-0012-8 ◽

2003 ◽

Vol 71 (1) ◽

pp. 1-15 ◽

Author(s):

S. Achatz

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Variable Coefficients ◽

Higher Order ◽

Sparse Grid ◽

Partial Differential

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A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

SIAM Journal on Numerical Analysis ◽

10.1137/050645142 ◽

2007 ◽

Vol 45 (3) ◽

pp. 1005-1034 ◽

Author(s):

Ivo Babuška ◽

Fabio Nobile ◽

Raúl Tempone

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Elliptic Partial Differential Equations ◽

Stochastic Collocation ◽

Random Input ◽

Partial Differential ◽

Stochastic Collocation Method ◽

Random Input Data

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A Kernel-Based Collocation Method for Elliptic Partial Differential Equations With Random Coefficients

Monte Carlo and Quasi-Monte Carlo Methods 2012 - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-642-41095-6_14 ◽

2013 ◽

pp. 331-347 ◽

Author(s):

Gregory E. Fasshauer ◽

Qi Ye

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Partial Differential

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A regularization method for the approximate particular solution of nonhomogeneous Cauchy problems of elliptic partial differential equations with variable coefficients

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2011.08.006 ◽

2012 ◽

Vol 36 (3) ◽

pp. 274-280 ◽

Author(s):

Ming Li ◽

Wen Chen ◽

C.H. Tsai

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Regularization Method ◽

Elliptic Partial Differential Equations ◽

Variable Coefficients ◽

Cauchy Problems ◽

Partial Differential ◽

Particular Solution

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Schwarz problem for higher-order complex elliptic partial differential equations

Integral Transforms and Special Functions ◽

10.1080/10652460801933645 ◽

2008 ◽

Vol 19 (6) ◽

pp. 413-428 ◽

Author(s):

Ü. Aksoy ◽

A.O. çelebi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Higher Order ◽

Order Complex ◽

Partial Differential ◽

Schwarz Problem

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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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Symbolic computation of high order compact difference schemes for three dimensional linear elliptic partial differential equations with variable coefficients

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(01)00504-0 ◽

2002 ◽

Vol 143 (1) ◽

pp. 9-27 ◽

Author(s):

Lixin Ge ◽

Jun Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Symbolic Computation ◽

Three Dimensional ◽

Elliptic Partial Differential Equations ◽

Variable Coefficients ◽

Partial Differential ◽

Compact Difference Schemes ◽

Compact Difference

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The MAPS based on trigonometric basis functions for solving elliptic partial differential equations with variable coefficients and Cauchy–Navier equations

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2018.11.001 ◽

2019 ◽

Vol 159 ◽

pp. 119-135 ◽

Author(s):

Dan Wang ◽

C.S. Chen ◽

C.M. Fan ◽

Ming Li

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Variable Coefficients ◽

Basis Functions ◽

Partial Differential ◽

Trigonometric Basis Functions

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Haar wavelet collocation method for three-dimensional elliptic partial differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.02.034 ◽

2017 ◽

Vol 73 (9) ◽

pp. 2023-2034 ◽

Author(s):

Imran Aziz ◽

Siraj-ul-Islam ◽

Muhammad Asif

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Three Dimensional ◽

Haar Wavelet ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Wavelet Collocation Method

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A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

SIAM Review ◽

10.1137/100786356 ◽

2010 ◽

Vol 52 (2) ◽

pp. 317-355 ◽

Author(s):

Ivo Babuška ◽

Fabio Nobile ◽

Raúl Tempone

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Elliptic Partial Differential Equations ◽

Stochastic Collocation ◽

Random Input ◽

Partial Differential ◽

Stochastic Collocation Method ◽

Random Input Data

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