Results 61 to 70 of about 1,952 (235)

Muti-fidelity Stochastic Collocation methods using Model Reduction techniques [PDF]

, 2013
Over the last few years there have been dramatic advances in our understanding of mathematical and computational models of complex systems in the presence of uncertainty.
Raissi, Maziar
core   +1 more source

A test of backward stochastic differential equations solver for solving semilinear parabolic differential equations in 1D and 2D

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, Guangming Yao, Elizabeth Javor, Kalani Rubasinghe, Luis Antonio Topete Galván   +4 more
doaj   +1 more source

Stability Evaluation and Parametric Optimization of Coal‐Concrete Composite Bearing Systems Under Mine‐Water‐Induced Deterioration: Experiments and FEINN Analysis

Energy Science &Engineering, EarlyView.
Mine‐water immersion tests reveal pronounced coal weakening (vs. minor concrete degradation), identifying coal pillars as the stability‐limiting component in composite dams. A coupled FEINN framework quantifies extreme‐pressure stability and ranks multi‐parameter designs via a normalized multi‐indicator scheme, enabling optimized dam configuration for ...
He Wen, Hongchuan Dai, Guixin Zhang, Pengzhe Li, Tong Yang, Cang Gong, Renbo Gao   +6 more
wiley   +1 more source

Efficient Solutions for Stochastic Fractional Differential Equations with a Neutral Delay Using Jacobi Poly-Fractonomials

Mathematics
This paper introduces a novel numerical technique for solving fractional stochastic differential equations with neutral delays. The method employs a stepwise collocation scheme with Jacobi poly-fractonomials to consider unknown stochastic processes.
Afshin Babaei, Sedigheh Banihashemi, Behrouz Parsa Moghaddam, Arman Dabiri, Alexandra Galhano   +4 more
doaj   +1 more source

Robust Trajectory Optimization of a Ski Jumper for Uncertainty Influence and Safety Quantification

Proceedings, 2018
This paper deals with the development of a robust optimal control framework for a previously developed multi-body ski jumper simulation model by the authors.
Patrick Piprek, Florian Holzapfel
doaj   +1 more source

Application of uncertainty design optimization based on polynomial chaos expansions and maximum entropy method in ship design

Zhongguo Jianchuan Yanjiu, 2023
ObjectivesThe key to uncertainty design optimization (UDO) is uncertainty quantification (UQ), but the traditionally used Monte Carlo (MC) method can be time-consuming and computationally expensive.
Xiao WEI, Heng LI, Chenran HUANG
doaj   +1 more source

Recovery Factor of Pure Helium Injection in Depleted Gas Reservoirs and Its Influencing Factors

Energy Science &Engineering, EarlyView.
This study employs compositional numerical simulation to systematically investigate the effects of injection rate, production rate, storage duration, and injection‐production scheme on pure helium recovery in depleted gas reservoirs. Low injection rates reduce viscous fingering while high production rates maximize near‐wellbore helium extraction ...
Shijie Zhu, Danlin Chen, Yang Wang, Zuping Xiang, Zhijun Li, Mengna Yang, Da Li   +6 more
wiley   +1 more source

A hybrid collocation-perturbation approach for PDEs with random domains [PDF]

, 2021
Consider a linear elliptic PDE defined over a stochastic stochastic geometry a function of N random variables. In many application, quantify the uncertainty propagated to a Quantity of Interest (QoI) is an important problem.
Castrillón-Candás, Julio E., Nobile, Fabio, Tempone, Raúl F., Tempone, Raul   +3 more
core   +1 more source

A mixed-method to numerical simulation of variable order stochastic advection diffusion equations

Alexandria Engineering Journal
The study of stochastic problems is very important and there is an increasing demand for investigating the behavior of a number of sophisticated dynamical systems in different areas of science as well as in engineering and finance.
H. Jafari, R.M. Ganji, S. Salati, S.J. Johnston   +3 more
doaj   +1 more source

Uncertainty Quantification in Small-Timescale Model-Based Fatigue Crack Growth Analysis Using a Stochastic Collocation Method

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
doaj   +1 more source