Results 31 to 40 of about 767,107 (236)
A stochastic collocation method based on sparse grids for a stochastic Stokes-Darcy model
Discrete and Continuous Dynamical Systems - Series S, 2021 In this paper, we develop a sparse grid stochastic collocation method to improve the computational efficiency in handling the steady Stokes-Darcy model with random hydraulic conductivity.
Zhipeng Yang +3 more
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Risks, 2022 We propose an accurate data-driven numerical scheme to solve stochastic differential equations (SDEs), by taking large time steps. The SDE discretization is built up by means of the polynomial chaos expansion method, on the basis of accurately determined
Shuaiqiang Liu +2 more
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Stochastic collocation with kernel density estimation [PDF]
Computer Methods in Applied Mechanics and Engineering, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elman, Howard C., Miller, Christopher W.
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Assessing the Structural Performance of Biodegradable Capsules
Applied Sciences, 2023 Biodegradable materials pose challenges over all aspects of computational mechanics. In this study, the focus is on the resulting domain uncertainty. Model structures or devices are shells of revolution subject to random variation of the outer surface ...
Harri Hakula
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An Adaptive WENO Collocation Method for Differential Equations with Random Coefficients
Mathematics, 2016 The stochastic collocation method for solving differential equations with random inputs has gained lots of popularity in many applications, since such a scheme exhibits exponential convergence with smooth solutions in the random space.
Wei Guo +3 more
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A multilevel stochastic collocation method for SPDEs [PDF]
AIP Conference Proceedings, 2015 We present a multilevel stochastic collocation method that, as do multilevel Monte Carlo methods, uses a hierarchy of spatial approximations to reduce the overall computational complexity when solving partial differential equations with random inputs.
Max Gunzburger +3 more
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On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion [PDF]
SIAM Journal on Numerical Analysis, 2020 Convergence of an adaptive collocation method for the stationary parametric diffusion equation with finite-dimensional affine coefficient is shown.
M. Eigel +3 more
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IEEE Access, 2020 Semiconductor fabrication technologies as applies to the nanometer-era paradigms of nowadays have rendered uncertainty quantification analyses through component-level parameters compulsory and indispensable. Frequency responses of CMOS active filters are
Mecit Emre Duman, Onder Suvak
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Shock and Vibration, 2018 Numerical simulation of thin solids remains one of the challenges in computational mechanics. The 3D elasticity problems of shells of revolution are dimensionally reduced in different ways depending on the symmetries of the configurations resulting in ...
Harri Hakula +2 more
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Известия Иркутского государственного университета: Серия "Математика", 2022 The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels.
Aleksandr Tynda +2 more
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