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 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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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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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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Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients

SIAM Journal on Numerical Analysis ◽

10.1137/110845537 ◽

2012 ◽

Vol 50 (6) ◽

pp. 3351-3374 ◽

Author(s):

Frances Y. Kuo ◽

Christoph Schwab ◽

Ian H. Sloan

Keyword(s):

Finite Element ◽

Monte Carlo ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Methods ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Partial Differential ◽

Quasi Monte Carlo

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Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125903 ◽

2021 ◽

Vol 397 ◽

pp. 125903

Author(s):

Fajie Wang ◽

Qinghai Zhao ◽

Zengtao Chen ◽

Chia-Ming Fan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Elliptic Partial Differential Equations ◽

Chebyshev Collocation Method ◽

Partial Differential ◽

Chebyshev Collocation

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A MULTIMODES MONTE CARLO FINITE ELEMENT METHOD FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM COEFFICIENTS

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2016016805 ◽

2016 ◽

Vol 6 (5) ◽

pp. 429-443 ◽

Author(s):

Xiaobing Feng ◽

Junshan Lin ◽

Cody Lorton

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Monte Carlo ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Partial Differential ◽

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Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.784280 ◽

2013 ◽

Vol 90 (11) ◽

pp. 2477-2490 ◽

Author(s):

Kun Liu ◽

Béatrice M. Rivière

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Galerkin Methods ◽

Partial Differential

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Strong and Weak Error Estimates for Elliptic Partial Differential Equations with Random Coefficients

SIAM Journal on Numerical Analysis ◽

10.1137/100800531 ◽

2012 ◽

Vol 50 (1) ◽

pp. 216-246 ◽

Author(s):

Julia Charrier

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Estimates ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Partial Differential ◽

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A priori estimates for solutions of elliptic partial differential equations on surfaces

10.32469/10355/10133 ◽

2009 ◽

Author(s):

Heidi Steenblock

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

A Priori Estimates ◽

A Priori ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Priori Estimates

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