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周毓麟先生在计算数学领域的成就与贡献——纪念周毓麟院士百年诞辰

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计算数学 2023年第1期45卷 3-7页

作者： institute of applied physics and computational mathematics 北京应用物理与计算数学研究所

本文从计算数学的视角,介绍周毓麟先生在离散泛函分析方法和大型科学计算方法等领域的研究工作.

关键词：离散Sobolev空间有限差分方法并行算法网络设计

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CONVERGENCE FROM AN ELECTROMAGNETIC FLUID SYSTEM TO THE FULL COMPRESSIBLE MHD EQUATIONS

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Acta Mathematica Scientia 2018年第3期38卷 805-818页

作者： Xin XU institute of applied physics and computational mathematics Institute of Applied Physics and Computational Mathematics Beijing 100088China

We are concerned with the zero dielectric constant limit for the full electromagneto-fluid dynamics in this article. This singular limit is justified rigorously for global smooth solution for both well-prepared and ill-prepared initial data. The explicit convergence rate is also obtained by a elaborate energy estimate. Moreover, we show that for the wellprepared initial data, there is no initial layer, and the electric field always converges strongly to the limit function. While for the ill-prepared data case, there will be an initial layer near t = 0. The strong convergence results only hold outside the initial layer.

关键词： Zero dielectric constant limit full compressible magnetohydrodynamic equation initial layer

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Dynamic localization of two electrons in AC-driven triple quantum dots and quantum dot shuttles

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Chinese physics B 2017年第12期26卷 504-510页

作者：屈晋先段素青杨宁 Beijing Computational Science Research Center Beijing 100193 China Institute of Applied Physics and Computational Mathematics Beijing 100088 China

We analyze the dynamic localization of two interacting electrons induced by alternating current electric fields in triple quantum dots and triple quantum dot shuttles. The calculation of the long-time averaged occupation probability shows that both the intra-and inter-dot Coulomb interaction can increase the localization of electrons even when the AC field is not very large. The mechanical oscillation of the quantum dot shuttles may keep the localization of electrons at a high level within a range if its frequency is quite a bit smaller than the AC field. However, the localization may be depressed if the frequency of the mechanical oscillation is the integer times of the frequency of the AC field. We also derive the analytical condition of two-electron localization both for triple quantum dots and quantum dot shuttles within the Floquet formalism.

关键词： dynamic localization quantum dot shuttles

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Accurate prediction of interference minima in linear molecular harmonic spectra by a modified two-center model

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Chinese physics B 2016年第3期25卷 163-168页

作者：崔鑫张頔玉陈高陈基根曾思良郭福明杨玉军 Institute of Atomic and Molecular Physics Jilin UniversityChangchun 130012China Jilin Provincial Key Laboratory of Applied Atomic and Molecular Spectroscopy Jilin UniversityChangchun 130012China School of Science Changchun University of Science and TechnologyChangchun 130022China Department of Physics and Materials Engineering Taizhou UniversityTaizhou 318000China Institute of Applied Physics and Computational Mathematics Beijing 100088China

We demonstrate that the interference minima in the linear molecular harmonic spectra can be accurately predicted by a modified two-center model. Based on systematically investigating the interference minima in the linear molecular harmonic spectra by the strong-field approximation （SFA）, it is found that the locations of the harmonic minima are related not only to the nuclear distance between the two main atoms contributing to the harmonic generation, but also to the symmetry of the molecular orbital. Therefore, we modify the initial phase difference between the double wave sources in the two-center model, and predict the harmonic minimum positions consistent with those simulated by SFA.

关键词： high-order harmonic generation molecular harmonics

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Investigation on the influence of atomic potentials on the above threshold ionization

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Chinese physics B 2014年第5期23卷 238-243页

作者：田原野李苏宇魏珊珊郭福明曾思良陈基根杨玉军 Institute of Atomic and Molecular Physics Jilin University Data Center for High Energy Density Physics Institute of Applied Physics and Computational Mathematics Science and Technology Computation Physics Laboratory Institute of Applied Physics and Computational Mathematics Department of Physics and Materials Engineering Taizhou University

We systematically investigate the influence of atomic potentials on the above-threshold ionization （ATI） spectra in one-dimensional （1D） cases and compare them with the three-dimensional （3D） case by numerically solving the time-dependent Schrrdinger equation. It is found that the direct ionization plateau and the rescattering plateau of the ATI spectrum in the 3D case can be well reproduced by the 1D ATI spectra calculated from the supersolid-core potential and the soft-core potential, respectively. By analyzing the factors that affect the yield of the ATI spectrum, we propose a modified-potential with which we can reproduce the overall 3D ATI spectrum. In addition, the influence of the incident laser intensities and frequencies on the ATI spectra calculated from the proposed modified potential is studied.

关键词： above threshold ionization model potential angular distribution of photoelectron

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Parallel implementation of fast multipole method based on JASMIN

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Science China(Information Sciences) 2011年第4期54卷 757-766页

作者： CAO XiaoLin 1,2,MO ZeYao 1,2,LIU Xu 1,XU XiaoWen 1 & ZHANG AiQing 1 1 High Performance computational Center in institute of applied physics and computational mathematics,Beijing 100094,China 2 Laboratory of computational physics in institute of applied physics and computational mathematics,Beijing 100094,China 1. High Performance Computational Center in Institute of Applied Physics and Computational Mathematics Beijing 100094 China2. Laboratory of Computational Physics in Institute of Applied Physics and Computational Mathematics Beijing 100094 China

Fast multipole method (FMM) may reduce the complexity of N-body problems from O(N 2 ) to O(N log N) or O(N).It was applied in problems ranging from electromagnetic scattering to dislocation *** can be divided into two parts: commonness and individuality.A parallel solver of FMM commonly used in various applications has been designed and implemented in JASMIN *** solver encapsulates the ***,it supplies users with abstract interfaces required to implement the individuality with serial *** commonness contains distributed storage of multi-levels,intra-level and inter-level data communication,and arrangement of computation,*** individuality contains various expansion and translation *** give here two applications that have used the *** was demonstrated with a parallel efficiency above 80% on 1024 processors.

关键词： fast multipole method N-body problems JASMIN infrastructure parallel solver

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INTERACTION MORAWETZ ESTIMATE AND A SIMPLIFIED PROOF ON THE ENERGY SCATTERING FOR HARTREE EQUAITONS

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Acta Mathematica Scientia 2011年第1期31卷 15-21页

作者：徐桂香范佳 Institute of Applied Physics and Computational Mathematics School of Mathematics and Systems Science Beihang University LIMB of the Ministry of Education

In this article, we give a simple proof on the energy scattering for the Hartree equations using the interaction Morawetz estimate that was originally introduced in [5].

关键词： Scattering theory Hartree equation wave operators asymptotic completeness

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Travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation

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Science China mathematics 2011年第3期54卷 555-572页

作者： DENG ShengFu1, GUO BoLing2 & WANG TingChun2,3 1Department of mathematics, Zhanjiang Normal University, Zhanjiang 524048, China 2institute of applied physics and computational mathematics, Beijing 100088, China 3 College of Math and physics, Nanjing University of Information Science and Technology, Nanjing 210044, China 1. Department of Mathematics Zhanjiang Normal University Zhanjiang 524048 China2. Institute of Applied Physics and Computational Mathematics Beijing 100088 China3. College of Math and Physics Nanjing University of Information Science and Technology Nanjing 210044 China

The travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation ut-uxxt + (1 + b)umux = buxuxx + uuxxx are considered where b > 1 and m are positive integers. The qualitative analysis methods of planar autonomous systems yield its phase portraits. Its soliton wave solutions, kink or antikink wave solutions, peakon wave solutions, compacton wave solutions, periodic wave solutions and periodic cusp wave solutions are obtained. Some numerical simulations of these solutions are also given.

关键词： homoclinic orbits heteroclinic orbits peakon wave solutions compacton wave solutions periodic cusp wave solutions

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A LINEAR RECONSTRUCTION ALGORITHM FOR ANISOTROPIC DIFFUSION EQUATIONS

A LINEAR RECONSTRUCTION ALGORITHM FOR ANISOTROPIC DIFFUSION ...

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第二届热问题计算方法国际会议

作者： Lina Chang,Guangwei Yuan National Key Laboratory of Science and Technology on computational physics,institute of applied physics and computational mathematics,Beijing 100088,China

A reconstruction algorithm is designed for constructing cell-centered finite volume schemes on skewed meshes for solving anisotropic diffusion *** show that a balance point can be found for each edge on polygonal *** this point,the edge unknowns are reconstructed accurately with a simple linear interpolation *** scheme accuracy is demonstrated by the numerical results.

关键词： Anisotropic diffusion Finite volumes Reconstruction

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FINITE POINT METHOD FOR DIFFUSION EQUATION ON IRREGULAR computational DOMAIN

FINITE POINT METHOD FOR DIFFUSION EQUATION ON IRREGULAR COMP...

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第二届热问题计算方法国际会议

作者： Guixia Lv,Longjun Shen,Hao Wu National Key Laboratory of Science and Technology on computational physics,institute of applied physics and computational mathematics,Beijing 100088,China

In this paper,a finite point method for 2D diffusion equation is *** method is based on directional derivatives,and is applicable to irregular computational *** discretization is performed by employing numerical formulae of directional derivatives.A new method for selecting steady distribution neighboring point set is *** example to show the convergence of the method is also included.

关键词： diffusion equation irregular computational domain finite point method

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