High-order spectral method of density estimation for stochastic differential equation driven by multivariate Gaussian random variables
DOI10.1155/2023/9974539OpenAlexW4385858357MaRDI QIDQ6048403
Publication date: 10 October 2023
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2023/9974539
Density estimation (62G07) Monte Carlo methods (65C05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) PDEs with randomness, stochastic partial differential equations (35R60)
Cites Work
- Unnamed Item
- Unnamed Item
- A non-adapted sparse approximation of PDEs with stochastic inputs
- Enhancing \(\ell_1\)-minimization estimates of polynomial chaos expansions using basis selection
- Asynchronous time integration for polynomial chaos expansion of uncertain periodic dynamics
- A polynomial chaos expansion in dependent random variables
- A Fourier collocation method for Schrödinger-Poisson system with perfectly matched layer
- Polynomial chaos expansions for dependent random variables
- Uncertainty quantification of geochemical and mechanical compaction in layered sedimentary basins
- A time-splitting spectral method for coupled Gross-Pitaevskii equations with applications to rotating Bose-Einstein condensates
- Wiener-Hermite polynomial expansion for multivariate Gaussian probability measures
- On Discrete Least-Squares Projection in Unbounded Domain with Random Evaluations and its Application to Parametric Uncertainty Quantification
- Spectral Methods
- Spectral Methods for Time-Dependent Problems
- A Least-Squares Method for Sparse Low Rank Approximation of Multivariate Functions
- Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
- Density Estimation in Uncertainty Propagation Problems Using a Surrogate Model
- On the convergence rates of Legendre approximation
- STOCHASTIC COLLOCATION ALGORITHMS USING l1-MINIMIZATION
- Lectures on Monte Carlo methods
This page was built for publication: High-order spectral method of density estimation for stochastic differential equation driven by multivariate Gaussian random variables