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Symplectic algebraic dynamics algorithm

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Science China(Physics,Mechanics & Astronomy) 2007年第2期50卷 133-143页

作者： wang shunjin ZHANG Hua Center of Theoretical Physics Sichuan UniversityChengdu 610064China

Based on the algebraic dynamics solution of ordinary differential equations and integration of $\hat L$ , the symplectic algebraic dynamics algorithm s? n is designed, which preserves the local symplectic geometric structure of a Hamiltonian system and possesses the same precision of the na?ve algebraic dynamics algorithm ? n . Computer experiments for the 4th order algorithms are made for five test models and the numerical results are compared with the conventional symplectic geometric algorithm, indicating that s? n has higher precision, the algorithm-induced phase shift of the conventional symplectic geometric algorithm can be reduced, and the dynamical fidelity can be improved by one order of magnitude.

关键词： symplectic algebraic dynamics algorithm preserving local symplectic geometric structure reduction of algo-rithm-induced phase shift improving dynamical fidelity

Algebraic dynamics solutions and algebraic dynamics algorithm for nonlinear partial differential evolution equations of dynamical systems

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Science China(Physics,Mechanics & Astronomy) 2008年第6期51卷 577-590页

作者： wang shunjin ZHANG Hua Center of Theoretical Physics Sichuan UniversityChengdu 610064China

Using functional derivative technique in quantum field theory, the algebraic dy-namics approach for solution of ordinary differential evolution equations was gen-eralized to treat partial differential evolution equations. The partial differential evo-lution equations were lifted to the corresponding functional partial differential equations in functional space by introducing the time translation operator. The functional partial differential evolution equations were solved by algebraic dynam-ics. The algebraic dynamics solutions are analytical in Taylor series in terms of both initial functions and time. Based on the exact analytical solutions, a new nu-merical algorithm—algebraic dynamics algorithm was proposed for partial differ-ential evolution equations. The difficulty of and the way out for the algorithm were discussed. The application of the approach to and computer numerical experi-ments on the nonlinear Burgers equation and meteorological advection equation indicate that the algebraic dynamics approach and algebraic dynamics algorithm are effective to the solution of nonlinear partial differential evolution equations both analytically and numerically.

关键词： functional partial differential equations exact algebraic dynamics solutions of nonlinear partial differential evolution equations algebraic dynamics algorithm

Algebraic dynamics solutions and algebraic dynamics algorithm for nonlinear ordinary differential equations

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Science China(Physics,Mechanics & Astronomy) 2006年第6期49卷 716-728页

作者： wang shunjin ZHANG Hua Center of Theoretical Physics Sichuan UniversityChengdu610064China Center of Theoretical PhysicsSichuan UniversityChengdu610064China

The problem of preserving fidelity in numerical computation of nonlinear or-dinary differential equations is studied in terms of preserving local differential structure and approximating global integration structure of the dynamical system. The ordinary differen-tial equations are lifted to the corresponding partial differential equations in the framework of algebraic dynamics,and a new algorithm——algebraic dynamics algorithm is proposed based on the exact analytical solutions of the ordinary differential equations by the alge-braic dynamics method. In the new algorithm,the time evolution of the ordinary differential system is described locally by the time translation operator and globally by the time evo-lution operator. The exact analytical piece-like solution of the ordinary differential equa-tions is expressd in terms of Taylor series with a local convergent radius,and its finite order truncation leads to the new numerical algorithm with a controllable precision better than Runge Kutta Algorithm and Symplectic Geometric Algorithm.

关键词： exact algebraic dynamics solutions of ordinary differential equations,algebraic dynamics algorithm,preserving fidelity geometrically and dynamically.

Algebraic dynamics solution to and algebraic dynamics algorithm for nonlinear advection equation

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Science China(Physics,Mechanics & Astronomy) 2008年第10期51卷 1470-1478页

作者： ZHANG Hua LU WeiTao wang shunjin Center of Theoretical Physics Sichuan UniversityChengdu 610064China

Algebraic dynamics approach and algebraic dynamics algorithm for the solution of nonlinear partial differential equations are applied to the nonlinear advection equa-tion. The results show that the approach is effective for the exact analytical solu-tion and the algorithm has higher precision than other existing algorithms in nu-merical computation for the nonlinear advection equation.

关键词： nonlinear advection equation algebraic dynamics solution in functional space algebraic dynamics algo-rithm for nonlinear advection equation

Algebraic dynamics solution and algebraic dynamics algorithm of Burgers equations

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Science China(Physics,Mechanics & Astronomy) 2008年第11期51卷 1647-1652页

作者： ZHANG Hua LU WeiTao wang shunjin Center of Theoretical Physics Sichuan UniversityChengdu 610064China

Algebraic dynamics solution and algebraic dynamics algorithm of nonlinear partial differential evolution equations in the functional space are applied to Burgers equation. The results indicate that the approach is effective for analytical solutions to Burgers equation, and the algorithm for numerical solutions of Burgers equation is more stable, with higher precision than other existing finite difference algo-rithms.

关键词： algebraic dynamics solution in functional space algebraic dynamics algorithm for Burgers equation

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人造量子系统的理论研究与代数动力学

物理学进展 1999年第4期19卷 331-370页

作者：王顺金兰州大学现代物理系西南交通大学现代物理研究所成都610031

从控制与利用微观系统的量子工程的观点，讨论了人造量子系统的基本物理问题。针对人造量子系统中的一大类———非自治量子系统的求解问题，提出了代数动力学理论方法。运用代数动力学，对人造量子系统进行了理论研究；对可积的非自治... 详细信息

从控制与利用微观系统的量子工程的观点，讨论了人造量子系统的基本物理问题。针对人造量子系统中的一大类———非自治量子系统的求解问题，提出了代数动力学理论方法。运用代数动力学，对人造量子系统进行了理论研究；对可积的非自治系统，详细介绍了线性系统和非线性可积系统的求解问题；对不可积系统，用代数动力学观点研究了量子规则运动和无规运动的特征，它们之间的过渡，以及它们对时间有关外场的不同响应。

关键词：人造量子系统非自治量子系统代数动力学

Design of Purchase-Sales-Inventory Business Software Based on Excel

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Design of Purchase-Sales-Inventory Business Software Based o...

热原子核巨共振的微观研究——巨共振的衰变与热核的性质

2012 National Conference on Information Technology and Computer Science

作者： wang shunjin Accounting and Finance Department of Chongqing College of Electronic Engineering Chongqing,China

Purchase-sales-inventory software is a common tool of small business enterprise information and can be designed by using *** paper focuses on the idea of "fool" business software design with Excel sequence,record pointer and ActiveX control,and introduces the skills in invoking development tool,setting Macro security,using name and sequence,using Excel function,eliminating loop computation,designing record pointer,and designing "Reset" and "Confirm" control buttons in software design.

关键词： Software design ActiveX control VBA code record pointer purchase-sales-inventory

来源： cnki会议评论

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高能物理与核物理 2000年第10期24卷 955-961页

作者：王顺金罗洪刚 W.Cassing 兰州重离子加速器国家实验室原子核理论中心 Institut fuer Theoetische Physik University Giessen35392 GiessenGermany

运用微观多体理论 ,对热原子核巨四极共振进行了比较研究 ,发现两体关联密度矩阵理论能更好地描述热核的巨共振衰变和热核的其它性质 .

关键词：巨共振多体理论热原子核衰变

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培美曲塞对SKP2蛋白表达的影响及意义

重庆医学 2012年第16期41卷 1614-1616,F0004页

作者：万琴王顺金南昌大学附属第二医院肿瘤科江西南昌330006

目的探讨S期激酶相关蛋白2(SKP2)在培美曲塞(PMX)处理后肺腺癌细胞A549中表达的改变及意义。方法根据PMX的浓度设1个对照组和4个实验组,分别为:0μmol/L组(A组)、0.01μmol/L组(B组)、0.1μmol/L组(C组)、1μmol/L组(D组)、10μmol/L组(... 详细信息

目的探讨S期激酶相关蛋白2(SKP2)在培美曲塞(PMX)处理后肺腺癌细胞A549中表达的改变及意义。方法根据PMX的浓度设1个对照组和4个实验组,分别为:0μmol/L组(A组)、0.01μmol/L组(B组)、0.1μmol/L组(C组)、1μmol/L组(D组)、10μmol/L组(E组),采用甲基噻唑基四唑(MTT)法检测A549细胞的增殖;利用流式细胞技术分析A549细胞周期的分布;通过Western blot法检测A549细胞SKP2蛋白表达。结果 PMX明显抑制A549细胞增殖,以10μmol/L、72h作用抑制率最高(P<0.01);与A组相比C、D、E组S期细胞显著增多(P<0.05);各组SKP2蛋白相对表达水平差异有统计学意义(P<0.01);与对照组相比,实验组SKP2蛋白相对表达水平显著增加(P<0.01)。结论 PMX能明显抑制A549细胞增殖且将其阻滞于S期,PMX处理后的A549细胞中SKP2蛋白表达上调,这可能影响PMX对肺腺癌的化疗疗效。

关键词：肺肿瘤细胞周期 S期激酶相关蛋白质类培美曲塞