Results 21 to 30 of about 641 (195)
Hybrid Stochastic Finite Element Method for Mechanical Vibration Problems
Shock and Vibration, 2015 We present and analyze a new hybrid stochastic finite element method for solving eigenmodes of structures with random geometry and random elastic modulus.
Harri Hakula, Mikael Laaksonen
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Mathematics, 2022 In this study, we consider a nonlinear system of three connected delay differential neoclassical growth models along with stochastic effect and additive white noise, which is influenced by stochastic perturbation.
Ishtiaq Ali, Sami Ullah Khan
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Stochastic collocation method for computing eigenspaces of parameter-dependent operators
Numerische Mathematik, 2022 AbstractWe consider computing eigenspaces of an elliptic self-adjoint operator depending on a countable number of parameters in an affine fashion. The eigenspaces of interest are assumed to be isolated in the sense that the corresponding eigenvalues are separated from the rest of the spectrum for all values of the parameters.
Grubišić, Luka +2 more
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Metals, 2020 Due to the uncertainties originating from the underlying physical model, material properties and the measurement data in fatigue crack growth (FCG) processing, the prediction of fatigue crack growth lifetime is still challenging.
Hesheng Tang, Xueyuan Guo, Songtao Xue
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Non‐Stationary Probabilistic Tsunami Hazard Assessments Compounding Tides and Sea Level Rise
Earth's Future, 2022 Tides are often the largest source of sea levels fluctuations. Two new probabilistic tsunami hazard assessments (PTHA) methods are proposed to combine the tidal phase uncertainty at the moment of tsunami occurrence with other sources of uncertainty.
Ignacio Sepúlveda +4 more
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A stochastic collocation method for stochastic Volterra equations of the second kind [PDF]
Journal of Integral Equations and Applications, 2015 This work describes and analyzes a stochastic collocation method for stochastic Volterra integral equations (SVIEs) of the second kind with random forcing terms. A collocation method is used in temporal direction, and a spectral collocation method is used in the stochastic dimension, which lead to an uncoupled linear system associated with the ...
Cao, Yanzhao, Zhang, Ran
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ESAIM: Proceedings and Surveys, 2014 In this work, we present a numerical analysis of a method which combines a deterministic and a probabilistic approaches to quantify the migration of a contaminant, under the presence of uncertainty on the permeability of the porous ...
Erhel Jocelyne +2 more
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IEEE Access, 2019 Due to the increasing uncertainty brought about by renewable energy, conventional deterministic dispatch approaches have not been very applicative. This paper investigates a nested sparse grid-based stochastic collocation method (NS-SCM) as a possible ...
Zhilin Lu +3 more
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Greedy nonlinear autoregression for multifidelity computer models at different scales
Energy and AI, 2020 Although the popular multi-fidelity surrogate models, stochastic collocation and nonlinear autoregression have been applied successfully to multiple benchmark problems in different areas of science and engineering, they have certain limitations.
W. Xing +4 more
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Partial Differential Equations in Applied Mathematics, 2022 Backward stochastic differential equation solver was first introduced by Han et al in 2017. A semilinear parabolic partial differential equation is converted into a stochastic differential equation, and then solved by the backward stochastic differential
Evan Davis +4 more
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