Approximation of probability density functions for PDEs with random parameters using truncated series expansions
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Publication:2046192
DOI10.1007/s10013-020-00465-5zbMath1471.62309arXiv1810.01028OpenAlexW3119656841WikidataQ114228682 ScholiaQ114228682MaRDI QIDQ2046192
Giacomo Capodaglio, Max D. Gunzburger, Henry P. Wynn
Publication date: 17 August 2021
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.01028
Computational methods for problems pertaining to statistics (62-08) Density estimation (62G07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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- Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
- Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation
- Stochastic spectral methods for efficient Bayesian solution of inverse problems
- Finite elements for elliptic problems with stochastic coefficients
- Data-driven density derivative estimation, with applications to nonparametric clustering and bump hunting
- Bell polynomials and binomial type sequences
- Expressing a probability density function in terms of another PDF: a generalized Gram-Charlier expansion
- An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
- Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes
- Inverse problems: A Bayesian perspective
- Gram Charlier Expansion for Time Varying Multiserver Queues with Abandonment
- Asymptotic Approximations to Distributions
- Recent Developments in Nonparametric Density Estimation
- SLEPc
- A Fourier-Karhunen-Loève discretization scheme for stationary random material properties in SFEM
- An efficient Bayesian inference approach to inverse problems based on an adaptive sparse grid collocation method
- 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
- The estimation of the gradient of a density function, with applications in pattern recognition
- Construction of H-Refined Continuous Finite Element Spaces with Arbitrary Hanging Node Configurations and Applications to Multigrid Algorithms
- Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
- Stochastic finite element methods for partial differential equations with random input data
- A Computational Framework for Infinite-Dimensional Bayesian Inverse Problems Part I: The Linearized Case, with Application to Global Seismic Inversion
- High-Order Collocation Methods for Differential Equations with Random Inputs
- The Monte Carlo Method
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
- Gram-Charlier densities.
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