Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs
portes grátis
Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs
Nguyen, Van Kien; Dung, Dinh; Schwab, Christoph; Zech, Jakob
Springer International Publishing AG
10/2023
207
Mole
Inglês
9783031383830
15 a 20 dias
Descrição não disponível.
- 1. Introduction. - 2. Preliminaries. - 3. Elliptic Divergence-Form PDEs with Log-Gaussian Coefficient. - 4. Sparsity for Holomorphic Functions. - 5. Parametric Posterior Analyticity and Sparsity in BIPs. - 6. Smolyak Sparse-Grid Interpolation and Quadrature. - 8. Multilevel Smolyak Sparse-Grid Interpolation and Quadrature. - 8. Conclusions.
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Gaussian Measures;Uncertainty Quantification;Sparse-Grid Interpolation;Smolyak Quadrature;Finite Element Methods;Parametric and Stochastic PDE;Polynomial Chaos;High-Dimensional Approximation;Partial Differential Equations
- 1. Introduction. - 2. Preliminaries. - 3. Elliptic Divergence-Form PDEs with Log-Gaussian Coefficient. - 4. Sparsity for Holomorphic Functions. - 5. Parametric Posterior Analyticity and Sparsity in BIPs. - 6. Smolyak Sparse-Grid Interpolation and Quadrature. - 8. Multilevel Smolyak Sparse-Grid Interpolation and Quadrature. - 8. Conclusions.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
