A Galerkin method with two-dimensional Haar basis functions for the computation of the Karhunen-Loève expansion
DOI10.1007/s40314-017-0422-4OpenAlexW2187670230MaRDI QIDQ725812
Juarez S. Azevedo, Felipe Wisniewski, Saulo Pomponet Oliveira
Publication date: 2 August 2018
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-017-0422-4
Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) PDEs with randomness, stochastic partial differential equations (35R60)
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- Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions
- A fast numerical solution method for two dimensional Fredholm integral equations of the second kind based on piecewise polynomial interpolation
- A fast numerical solution method for two dimensional Fredholm integral equations of the second kind
- Assessment of spectral representation and Karhunen-Loève expansion methods for the simulation of Gaussian stochastic fields
- Error bounds and estimates for eigenvalues of integral equations
- Error bounds and estimates for eigenvalues of integral equations. II
- An efficient, high-order perturbation approach for flow in random porous media via Karhunen-Loève and polynomial expansions.
- Finite elements for elliptic problems with stochastic coefficients
- A stochastic collocation method for the second-order wave equation with a discontinuous random speed
- Two-dimensional wavelets for numerical solution of integral equations
- Multiresolution analysis for stochastic finite element problems with wavelet-based Karhunen-Loève expansion
- Spectral element approximation of Fredholm integral eigenvalue problems
- Karhunen-Loève approximation of random fields by generalized fast multipole methods
- Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes
- A space-time multiscale method for computing statistical moments in strongly heterogeneous poroelastic media of evolving scales
- Fast wavelet transforms and numerical algorithms I
- A theory for multiresolution signal decomposition: the wavelet representation
- A Numerical Comparison Between Quasi-Monte Carlo and Sparse Grid Stochastic Collocation Methods
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