References in zbMATH (referenced in 56 articles )

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  1. Bigoni, Daniele; Engsig-Karup, Allan P.; Marzouk, Youssef M.: Spectral tensor-train decomposition (2016)
  2. De Luigi, Christophe; Lelong, Jér^ome; Maire, Sylvain: Robust adaptive numerical integration of irregular functions with applications to basket and other multi-dimensional exotic options (2016)
  3. Gorodetsky, Alex; Marzouk, Youssef: Mercer kernels and integrated variance experimental design: connections between Gaussian process regression and polynomial approximation (2016)
  4. Shin, Yeonjong; Xiu, Dongbin: Correcting data corruption errors for multivariate function approximation (2016)
  5. Shin, Yeonjong; Xiu, Dongbin: Nonadaptive quasi-optimal points selection for least squares linear regression (2016)
  6. Bernardo, Fernando P.: Performance of cubature formulae in probabilistic model analysis and optimization (2015)
  7. Zheng, Mengdi; Wan, Xiaoliang; Karniadakis, George Em: Adaptive multi-element polynomial chaos with discrete measure: algorithms and application to SPDEs (2015)
  8. Conrad, Patrick R.; Marzouk, Youssef M.: Adaptive Smolyak pseudospectral approximations (2013)
  9. Dagnino, Catterina; Lamberti, Paola; Remogna, Sara: Numerical integration based on trivariate $C ^2$ quartic spline quasi-interpolants (2013)
  10. Jakeman, John D.; Narayan, Akil; Xiu, Dongbin: Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions (2013)
  11. Mehrotra, Sanjay; Papp, Dávid: Generating moment matching scenarios using optimization techniques (2013)
  12. Poëtte, Gaël; Lucor, Didier: Non intrusive iterative stochastic spectral representation with application to compressible gas dynamics (2012)
  13. Zhang, Zhongqiang; Choi, Minseok; Karniadakis, George Em: Error estimates for the ANOVA method with polynomial chaos interpolation: Tensor product functions (2012)
  14. Liu, Meilin; Gao, Zhen; Hesthaven, Jan S.: Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty (2011)
  15. Zhang, Zhongqiang; Choi, Minseok; Karniadakis, George Em: Anchor points matter in ANOVA decomposition (2011)
  16. De Luigi, Christophe; Maire, Sylvain: Adaptive integration and approximation over hyper-rectangular regions with applications to basket option pricing (2010)
  17. Dimov, I.; Georgieva, R.: Monte Carlo algorithms for evaluating Sobol’ sensitivity indices (2010)
  18. Foo, Jasmine; Karniadakis, George Em: Multi-element probabilistic collocation method in high dimensions (2010)
  19. Gao, Zhen; Hesthaven, Jan S.: On ANOVA expansions and strategies for choosing the anchor point (2010)
  20. Ma, Xiang; Zabaras, Nicholas: An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations (2010)

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