High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs

References

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	Year	Citations
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data Ivo Babuška, Fabio Nobile, Raúl Tempone SIAM Journal on Numerical Analysis Numerical AnalysisLarge DeviationsEngineeringGalerkin ApproximationRandom Coefficients	2007	1.4K
A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data Fabio Nobile, Raúl Tempone, Clayton Webster SIAM Journal on Numerical Analysis	2008	936
Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations Ivo Babuška, Raúl Tempone, Georgios E. Zouraris SIAM Journal on Numerical Analysis Numerical AnalysisFinite Element MethodEngineeringUncertainty QuantificationDistributed Approximations	2004	840
Interpolation and Approximation. Morris Newman, Philip J. Davis American Mathematical Monthly Numerical AnalysisEngineeringInterpolation SpaceApproximation MethodApproximation Algorithms	1965	803
The stochastic finite-element method Humberto Contreras Computers & Structures Numerical AnalysisFinite Element MethodNumerical ComputationEngineeringComputational Mechanics	1980	646
High dimensional polynomial interpolation on sparse grids Volker Barthelmann, Erich Novak, Klaus Ritter Advances in Computational Mathematics	2000	632
Dimension?Adaptive Tensor?Product Quadrature Thomas Gerstner, Michael Griebel Computing Spectral TheoryEngineeringHigher Dimensional ProblemMultilinear Subspace LearningDimensionality Reduction	2003	545
An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data Fabio Nobile, Raúl Tempone, Clayton Webster SIAM Journal on Numerical Analysis Numerical AnalysisEngineeringStochastic AnalysisRandom Input DataStochastic Simulation	2008	488
Finite elements for elliptic problems with stochastic coefficients Philipp Frauenfelder, Christoph Schwab, Radu Alexandru Todor Computer Methods in Applied Mechanics and Engineering Numerical AnalysisDirichlet FormElliptic EquationFinite ElementsElliptic Function	2004	358
ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S Albert Cohen, Ronald DeVore, Christoph Schwab Analysis and Applications Spectral TheoryNumerical AnalysisElliptic EquationDirichlet FormEngineering	2011	341

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