Polynomial Approximation of Anisotropic Analytic Functions of Several Variables-Reference-Cited by-同舟云学术

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Polynomial Approximation of Anisotropic Analytic Functions of Several Variables

Published:2020-07-16 Issue:2 Volume:53 Page:319-348
ISSN:0176-4276
Container-title:Constructive Approximation
language:en
Short-container-title:Constr Approx

Author:

Bonito Andrea,DeVore Ronald,Guignard Diane,Jantsch Peter,Petrova Guergana

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,General Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00365-020-09511-4.pdf

Reference22 articles.

1. Bachmayr, M., Cohen, A., Migliorati, G.: Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients. ESAIM: Math. Modell. Numer. Anal. 51(1), 321–339 (2017)

2. Beck, J., Nobile, F., Tamellini, L., Tempone, R.: On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Math. Models Methods Appl. Sci. 22(9), 1250023 (2012)

3. Beck, J., Nobile, F., Tamellini, L., Tempone, R.: Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients. Comput. Math. Appl. 67(4), 732–751 (2014)

4. Beged-Dov, A.: Lower and upper bounds for the number of lattice points in a simplex. SIAM J. Appl. Math. 22(1), 106–108 (1972)

5. Bieri, M., Andreev, R., Schwab, C.: Sparse tensor discretizations of elliptic SPDEs. SIAM J. Sci. Comput. 31(6), 4281–4304 (2009)

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