典型文献
A structure-preserving algorithm for time-scale non-shifted Hamiltonian systems
文献摘要：
The variational calculus of time-scale non-shifted systems includes both the traditional continuous and traditional significant discrete variational calculus.Not only can the combination of △ and ▽ derivatives be beneficial to obtaining higher convergence order in numerical analysis,but also it prompts the time-scale numerical computational scheme to have good properties,for instance,structure-preserving.In this letter,a structure-preserving algorithm for time-scale non-shifted Hamiltonian systems is proposed.By using the time-scale discrete variational method and calculus theory,and taking a discrete time scale in the variational principle of non-shifted Hamiltonian systems,the corresponding discrete Hamiltonian principle can be obtained.Furthermore,the time-scale discrete Hamilton difference equations,Noether theorem,and the symplectic scheme of discrete Hamiltonian systems are obtained.Finally,taking the Kepler problem and damped oscillator for time-scale non-shifted Hamiltonian systems as examples,they show that the time-scale discrete variational method is a structure-preserving algorithm.The new algo-rithm not only provides a numerical method for solving time-scale non-shifted dynamic equations but can be calculated with variable step sizes to improve the computational speed.
文献关键词：
中图分类号：
作者姓名：
Xue Tian;Yi Zhang
作者机构：
School of Science,Nanjing University of Science and Technology,Nanjing,210094,Jiangsu,China;School of Mathematics and Big Data,Anhui University of Science and Technology,Huainan,232001,Anhui,China;College of Civil Engineering,Suzhou University of Science and Technology,Suzhou,215011,Jiangsu,China
文献出处：
引用格式：
[1]Xue Tian;Yi Zhang-.A structure-preserving algorithm for time-scale non-shifted Hamiltonian systems)[J].力学快报（英文）,2022(05):349-358
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B类：
structure,preserving,algorithm,scale,shifted,Hamiltonian,systems,variational,calculus,includes,both,traditional,continuous,significant,discrete,Not,only,combination,derivatives,beneficial,obtaining,higher,convergence,order,numerical,analysis,but,also,prompts,computational,scheme,have,good,properties,instance,In,this,letter,proposed,By,using,method,theory,taking,principle,corresponding,obtained,Furthermore,difference,equations,Noether,theorem,symplectic,are,Finally,Kepler,problem,damped,oscillator,as,examples,they,show,that,new,not,provides,solving,dynamic,calculated,variable,step,sizes,improve,speed
AB值：
0.451091
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