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Hyperbolic cross approximation in infinite dimensions

  • Published:2016-04 Issue: Volume:33 Page:55-88
  • ISSN:0885-064X
  • Container-title:Journal of Complexity
  • language:en
  • Short-container-title:Journal of Complexity

Author:

Dũng Dinh,Griebel Michael

Funder

Vietnam National Foundation for Science and Technology Development

Deutsche Forschungsgemeinschaft

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference62 articles.

1. On the approximation of a certain class of periodic functions of several variables by trigonometric polynomials;Babenko;Dokl. Akad. Nauk SSSR,1960

2. A stochastic collocation method for elliptic partial differential equations with random input data;Babuska;SIAM J. Numer. Anal.,2007

3. Optimal randomized multilevel algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition;Baldeaux;SIAM J. Numer. Anal.,2014

4. On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods;Beck;Math. Models Methods Appl. Sci.,2012

5. Convergence of quasi-optimal stochastic Galerkin methods for a class of PDEs with random coefficients;Beck;Comput. Math. Appl.,2014

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