Stochastic collocation on unstructured multivariate meshes [PDF]
Communications in Computational Physics, 2015 Collocation has become a standard tool for approximation of parameterized systems in the uncertainty quantification (UQ) community. Techniques for least-squares regularization, compressive sampling recovery, and interpolatory reconstruction are becoming ...
Narayan, Akil, Zhou, Tao
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Microstructure-Sensitive Uncertainty Quantification for Crystal Plasticity Finite Element Constitutive Models Using Stochastic Collocation Methods [PDF]
Frontiers in Materials, 2022 Uncertainty quantification (UQ) plays a major role in verification and validation for computational engineering models and simulations, and establishes trust in the predictive capability of computational models.
Anh Tran , Tim Wildey , Hojun Lim
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A novel numerical solution of nonlinear stochastic model for the propagation of malicious codes in Wireless Sensor Networks using a high order spectral collocation technique. [PDF]
Sci RepThe open nature of Wireless Sensor Networks (WSNs) renders them an easy target to malicious code propagation, posing a significant and persistent threat to their security.
Zhu J +6 more
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Analytic regularity and stochastic collocation of high-dimensional Newton iterates. [PDF]
Adv Comput Math, 2020 In this paper we introduce concepts from uncertainty quantification (UQ) and numerical analysis for the efficient evaluation of stochastic high dimensional Newton iterates. In particular, we develop complex analytic regularity theory of the solution with respect to the random variables. This justifies the application of sparse grids for the computation
Castrillón-Candás JE, Kon M.
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IEEE Access, 2022 The investigation of stochastic optimal power flow (SOPF) is to seek the optimal solution of static stability constrained optimal power flow considering the uncertainty of parameters in power systems. To solve the problem, this paper proposes an approach
Bingqing Xia +5 more
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Results in Applied MathematicsIn this paper, the existence and uniqueness of a specific class of fractional stochastic integro-differential equations considering the stochastic Brownian motion equipped with an appropriate form of a random initial condition is introduced regarding the
Haneen Badawi +2 more
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Multilevel Double Loop Monte Carlo and Stochastic Collocation Methods with Importance Sampling for Bayesian Optimal Experimental Design [PDF]
International Journal for Numerical Methods in Engineering, 2019 An optimal experimental set-up maximizes the value of data for statistical inferences and predictions. The efficiency of strategies for finding optimal experimental set-ups is particularly important for experiments that are time-consuming or expensive to
Beck, Joakim +3 more
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Advanced stability analysis of a fractional delay differential system with stochastic phenomena using spectral collocation method. [PDF]
Sci RepIn recent years, there has been a growing interest in incorporating fractional calculus into stochastic delay systems due to its ability to model complex phenomena with uncertainties and memory effects.
Xie M +4 more
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A novel simulation-based analysis of a stochastic HIV model with the time delay using high order spectral collocation technique. [PDF]
Sci RepThe economic impact of Human Immunodeficiency Virus (HIV) goes beyond individual levels and it has a significant influence on communities and nations worldwide.
Khan SU +6 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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