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Uncertainty quantification for stochastic dynamical systems using time-dependent stochastic bases

Applied Mathematics and Mechanics(English Edition) 2019年第1期40卷 63-84页

作者： Jinchun LAN Qianlong ZHANG Sha WEI Zhike PENG Xinjian DONG Wenming ZHANG State Key Laboratory of Mechanical System and Vibration School of Mechanical EngineeringShanghai Jiao Tong University

A novel method based on time-dependent stochastic orthogonal bases for stochastic response surface approximation is proposed to overcome the problem of significant errors in the utilization of the generalized polynomial chaos(GPC) method that approximates the stochastic response by orthogonal polynomials. The accuracy and effectiveness of the method are illustrated by different numerical examples including both linear and nonlinear problems. The results indicate that the proposed method modifies the stochastic bases adaptively, and has a better approximation for the probability density function in contrast to the GPC method.

关键词： uncertainty quantification stochastic response surface approximation timedependent orthogonal bases polynomial chaos

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Enjoy the most beautiful scene now:a memetic algorithm to solve two-fold time-dependent arc orienteering problem

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Frontiers of Computer Science 2020年第2期14卷 364-377页

作者： Chao CHEN Liping GAO Xuefeng XIE Zhu WANG School of Computer Science Chongqing UniversityChongqing 400044China School of Computer Science Northwestern Polytechnical UniversityXi'an 710072China

Traditional route planners commonly focus on finding the shortest path between two points in terms of travel distance or time over road ***,in real cases,especially in the era of smart cities where many kinds of transportation-related data become easily available,recent years have witnessed an increasing demand of route planners that need to optimize for multiple criteria,e.g.,finding the route with the highest accumulated scenic score along(utility)while not exceeding the given travel time budget(cost).Such problem can be viewed as a variant of arc orienteering problem(AOP),which is well-known as an NP-hard *** this paper,targeting a more realistic AOP,we allow both scenic score(utility)and travel time(cost)values on each arc of the road network are time-dependent(2TD-AOP),and propose a memetic algorithm to solve *** be more specific,within the given travel time budget,in the phase of initiation,for each population,we iteratively add suitable arcs with high scenic score and build a path from the origin to the destination via a complicate procedure consisting of search region narrowing,chromosome encoding and *** the phase of the local search,each path is improved via chromosome selection,local-improvement-based mutation and crossover ***,we evaluate the proposed memetic algorithm in both synthetic and real-life datasets extensively,and the experimental results demonstrate that it outperforms the baselines.

关键词： arc orienteering problem two-fold timedependent scenic score travel time memetic algorithm

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Computational Study of Scission Neutrons in Low-Energy Fission:Stationary and Time-Dependent Approaches

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Communications in Computational Physics 2011年第4期9卷 917-936页

作者： M.Rizea N.Carjan National Institute of Physics and Nuclear Engineering "Horia Hulubei"PO Box MG-6BucharestRomania Centre d’Etudes Nucl´eaires de Bordeaux-Gradignan UMR 5797CNRS/IN2P3-Universit´e Bordeaux 1BP 12033175 Gradignan CedexFrance

The emission of scission neutrons from fissioning nuclei is of high practical *** study this process we have used the sudden approximation and also a more realistic approach that takes into account the scission ***,this implies the solution of the bi-dimensional Schr¨odinger equation,both stationary and *** describe axially symmetric extremely deformed nuclear shapes,we have used the Cassini *** Hamiltonian is discretized by using finite difference approximations of the *** main computational challenges are the solution of algebraic eigenvalue problems and of linear systems with large sparse *** have employed appropriate procedures(Arnoldi and bi-conjugate gradients).The numerical solutions have been used to evaluate physical quantities,like the number of emitted neutrons per scission event,the primary fragments’excitation energy and the distribution of the emission points.

关键词： Scission neutrons fission bi-dimensional Schrodinger equation stationary timedependent non-standard finite differences

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