A mixed spectral treatment for the stochastic models with random parameters
DOI10.1007/s10665-021-10179-3zbMath1490.60154OpenAlexW3215672096MaRDI QIDQ2074228
Amnah Al-Juhani, Mohamed A. El-Beltagy
Publication date: 7 February 2022
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10665-021-10179-3
sensitivity analysisstochastic processesvariance decompositionpolynomial chaosspectral techniquesWiener-Hermite functionalscombined randomness
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Random vibrations in dynamical problems in solid mechanics (74H50) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)
Cites Work
- Unnamed Item
- On the equivalence of dynamically orthogonal and bi-orthogonal methods: theory and numerical simulations
- A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations. II: Adaptivity and generalizations
- Stochastic biomathematical models with applications to neuronal modeling.
- Proper orthogonal decomposition and Monte Carlo based isogeometric stochastic method for material, geometric and force multi-dimensional uncertainties
- Dynamically orthogonal field equations for continuous stochastic dynamical systems
- Stochastic partial differential equations. A modeling, white noise functional approach
- A robust bi-orthogonal/dynamically-orthogonal method using the covariance pseudo-inverse with application to stochastic flow problems
- Toward a solution of a class of non-linear stochastic perturbed PDEs using automated WHEP algorithm
- Modeling uncertainty in flow simulations via generalized polynomial chaos.
- Multilevel Monte Carlo by using the Halton sequence
- Solution of the stochastic heat equation with nonlinear losses using Wiener-Hermite expansion
- Blended reduced subspace algorithms for uncertainty quantification of quadratic systems with a stable mean state
- Efficient stochastic model for the point kinetics equations
- Spectral Methods for Uncertainty Quantification
- Dynamically Orthogonal Numerical Schemes for Efficient Stochastic Advection and Lagrangian Transport
- A comprehensive probabilistic analysis of approximate SIR‐type epidemiological models via full randomized discrete‐time Markov chain formulation with applications
- A Geometric Approach to Dynamical Model Order Reduction
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