Results 121 to 130 of about 1,546 (231)
This study presents a novel approach that integrates model order reduction (MOR) and generalized stochastic collocation (gSC) to enhance robust design optimization (RDO) of viscoelastic damped composite structures under material and geometric ...
Tianyu Wang, Chao Xu, Teng Li
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MATHICSE Technical Report : Multi-index stochastic collocation for random PDEs [PDF]
In this work we introduce the Multi-Index Stochastic Collocation method (MISC) for computing statistics of the solution of a PDE with random data. MISC is a combination technique based on mixed differences of spatial approximations and quadratures over ...
Nobile, Fabio +3 more
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This thesis contains a discussion of four problems arising from the application of stochastic differential equations and real option theory to investment decision problems in a continuous-time framework.
Chavanasporn, Walailuck
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Numerical method for simulation of quadratic Riccati differential equations
Differential equations widely applied in various fields of engineering and mathematical studies, particularly in control theory, optimal control, and stochastic realization. Numerous methods have been proposed for their solution.
Adam Ajimoti Ishaq +2 more
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Efficient Numerical Implementation of the Time-Fractional Stochastic Stokes–Darcy Model
This paper presents an efficient numerical method for the fractional-order generalization of the stochastic Stokes–Darcy model, which finds application in various engineering, biomedical and environmental problems involving interaction between free fluid
Zharasbek Baishemirov +3 more
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Stochastic Collocation With Kernel Density Estimation [PDF]
The stochastic collocation method has recently received much attention for solving partial differential equations posed with uncertainty, i.e., where coefficients in the differential operator, boundary terms or right-hand sides are random fields.
Elman, Howard C., Miller, Christopher W.
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Random fatigue crack growth in mixed mode by stochastic collocation method
Fatigue crack growth is uncertain, either for cracking rate or direction. The stochastic models proposed in the literature suffer from limited applicability or lack of physical meaning.
A. Chateauneuf +6 more
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International audienceThe inverse problem we consider takes a given model and an observed (or target) output probability density function (pdf) on quantities of interest and builds a new model input pdf which is consistent with both the model and the ...
Chassaing, Jean-Camille +3 more
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SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR STOCHASTIC BURGERS EQUATION
Hyung-Chun Lee, Yun Nam
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The stochastic collocation and Galerkin method are two state-of-the-art tools for solving stochastic partial differential equations (PDE). The former method is based on sampling the random variables present in a stochastic PDE into a set of ...
De Gersem, Herbert +2 more
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