TIME-DEPENDENT

作品数：545被引量：683H指数：11
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Attractor for the Extensible Beam Equation with Nonlocal Weak Damping on Time–Dependent Space
《Acta Mathematica Sinica,English Series》2024年第4期1115-1126,共12页Chun Xiang ZHAO Feng Juan MENG 
National Natural Science Foundation of China(Grant Nos.12101265,12026431,11701230,11731005);Qing Lan Project of Jiangsu Province;the dual creative(innovative and entrepreneurial)talents project in Jiangsu Province(Grant No.JSSCBS20210973);China Postdoctoral Science Foundation(Grant No.2022M721392)。
In this article,we consider the long-time behavior of extensible beams with nonlocal weak damping:ε(t)u_(tt)+Δ^(2)u-m(‖▽u‖^(2))Δu+‖u_(t)‖^(p_(u_(t)))+f(u)=h,whereε(t)is a decreasing function vanishing at infi...
关键词：Time-dependent attractor extensible beams equation nonlocal weak damping 
Time-dependent variational approach to solve multi-dimensional time-dependent Schr?dinger equation
《Chinese Physics B》2023年第12期361-366,共6页何明睿 王哲 姚陆锋 李洋 
Project supported by the National Natural Science Foundation of China (Grant Nos.12204545 and 12274294);the Program for NUE independent research and development。
We present an efficient approach to solve multi-dimensional time-dependent Schr?dinger equation(TDSE)in an intense laser field.In this approach,each spatial degree of freedom is treated as a distinguishable quasi-part...
关键词：time-dependent variational approach above-threshold ionization high harmonic generation 
Norm-Based Adaptive Coefficient ZNN for Solving the Time-Dependent Algebraic Riccati Equation
《IEEE/CAA Journal of Automatica Sinica》2023年第1期298-300,共3页Chengze Jiang Xiuchun Xiao 
supported in part by the Natural Science Foundation of Guangdong Province,China(2021A 1515011847);Postgraduate Education Innovation Project of Guangdong Ocean University(202214,202250,202251,202159,202160);the Special Project in Key Fields of Universities in Department of Education of Guangdong Province(2019KZDZX1036);the Key Laboratory of Digital Signal and Image Processing of Guangdong Province(2019GDDSIPL-01)。
Dear Editor, The time-dependent algebraic Riccati equation(TDARE) problem is applied to many optimal control industrial applications. It is susceptible to interference from measurement noises in the virtual environmen...
关键词：ALGEBRAIC EQUATION OPTIMAL 
HeTDSE:A GPU based program to solve the full-dimensional time-dependent Schr?dinger equation for two-electron helium subjected to strong laser fields
《Chinese Physics B》2021年第7期216-225,共10页Xi Zhao Gangtai Zhang Tingting Bai Jun Wang Wei-Wei Yu 
the National Natural Science Foundation of China(Grant Nos.11904192,11604119,11627807,and 11604131);the Natural Science Basic Research Plan of Shaanxi Province of China(Grant No.2016JM1012);the Natural Science Foundation of the Education Committee of Shaanxi Province of China(Grant No.18JK0050);the Science Foundation of Baoji University of Arts and Sciences of China(Grant No.ZK16069);the Natural Science Foundation of Liaoning Province of China(Grant No.LQ 2020022)。
Electron–electron correlation plays an important role in the underlying dynamics in physics and chemistry.Helium is the simplest and most fundamental two-electron system.The dynamic process of helium in a strong lase...
关键词：strong field physics TDSE OPENACC GPU electron correlation HELIUM 
An Implicit Solver for the Time-Dependent Kohn-Sham Equation被引量：1
《Numerical Mathematics(Theory,Methods and Applications)》2021年第1期261-284,共24页Lei Yang Yedan Shen Zhicheng Hu Guanghui Hu 
The work of the third author was partially supported by the National Natural Science Foundation of China(Grant No.11601229);the Natural Science Foundation of Jiangsu Province of China(Grant No.BK20160784);The work of the last author was partially supported by FDCT of Macao SAR(029/2016/A1);National Natural Science Foundation of China(Grant Nos.11922120,11871489,11401608);Multi-Year research grant(2019-00154-FST,2017-00189-FST)of University of Macao。
The implicit numerical methods have the advantages on preserving the physical properties of the quantum system when solving the time-dependent Kohn-Sham equation.However,the efficiency issue prevents the practical app...
关键词：Time-dependent Kohn-Sham equation implicit midpoint scheme finite element methods h-adaptive mesh methods complex-valued algebraic multigrid methods 
Momentum Eigensolutions of Feinberg-Horodecki Equation with Time-Dependent Screened Kratzer-Hellmann Potential被引量：1
《Journal of Applied Mathematics and Physics》2020年第7期1207-1221,共15页Mahmoud Farout Sameer M. Ikhdair 
We obtain an approximate value of the quantized momentum eigenvalues, Pn, together with the space-like coherent eigenvectors for the space-like counterpart of the Schr
《Chinese Physics B》2020年第6期90-97,共8页Mahmoud Farout Ramazan Sever Sameer MIkhdair 
We obtain the quantized momentum eigenvalues Pn together with space-like coherent eigenstates for the space-like counterpart of the Schr¨odinger equation,the Feinberg–Horodecki equation,with a combined Kratzer poten...
关键词：quantized momentum states Feinberg-Horodecki equation the time-dependent screened Coulomb potential and time-dependent modified Kratzer potential 
Nonlinear density wave and energy consumption investigation of traffic flow on a curved road被引量：1
《Chinese Physics B》2017年第11期135-143,共9页金智展 程荣军 葛红霞 
Project supported by the National Natural Science Foundation of China(Grant No.11372166);the Scientific Research Fund of Zhejiang Province,China(Grant Nos.LY15A020007 and LY15E080013);the Natural Science Foundation of Ningbo,China(Grant Nos.2014A610028 and 2014A610022);the K.C.Wong Magna Fund in Ningbo University,China
A new car-following model is proposed based on the full velocity difference model（FVDM） taking the influence of the friction coefficient and the road curvature into account. Through the control theory, the stability...
关键词：car-following model curved road energy consumption time-dependent Ginzburg-Landau（TDGL） equation 
The Relativistic Time-Dependent Aharonov-Bohm Effect
《Journal of Modern Physics》2014年第16期1640-1651,共12页Athanasios N. Petridis Zachary Kertzman Khinlay Win 
The relativistic Aharonov-Bohm (AB) effect is studied using the time-dependent Dirac equation. It is shown that if the initial electron distribution is a pulse it is possible to define time-dependent signals that dist...
关键词：AHARONOV-BOHM Effect DIRAC EQUATION TIME-DEPENDENT Quantum MECHANICS 
New Neumerical Method to Calculate Time-Dependent Quantum Properties in Finite Temperature Based on the Heisenberg Equation of Motion
《Journal of Modern Physics》2012年第10期1537-1549,共13页Shin-Ichiro Kondo 
For the purpose of computer calculation to evaluate time-dependent quantum properties in finite temperature, we propose new numerical method expressed in the forms of simultaneous differential equations. At first we d...
关键词：HEISENBERG EQUATION of Motion NEUMANN EQUATION TIME-DEPENDENT Physical Properties Finite Temperature Numerical Solutions Simultaneous Differential EQUATIONS 
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