Analytic regularity and stochastic collocation of high-dimensional Newton iterates
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Publication:2178835
DOI10.1007/s10444-020-09791-1zbMath1462.65054arXiv1905.09149OpenAlexW3021233523WikidataQ94592696 ScholiaQ94592696MaRDI QIDQ2178835
Julio E. Castrillón-Candás, Mark A. Kon
Publication date: 11 May 2020
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.09149
power flowsparse gridsapproximation theorycomplex analysisNewton-Kantorovich theoremuncertainty quantificationnonlinear stochastic networks
Numerical computation of solutions to systems of equations (65H10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)
Uses Software
Cites Work
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- Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: Application to random elliptic PDEs
- Convergence of quasi-optimal stochastic Galerkin methods for a class of PDES with random coefficients
- Dimension-adaptive tensor-product quadrature
- High dimensional polynomial interpolation on sparse grids
- Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations
- Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison
- Convergence and Applications of Newton-type Iterations
- Algorithm 847
- A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients
- Analysis of a Multilevel Iterative Method for Nonlinear Finite Element Equations
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
