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Weakly Admissible Meshes and Discrete Extremal Sets被引量：1: 《Numerical Mathematics(Theory,Methods and Applications)》2011年第1期1-12,共12页Len Bos Stefano De Marchi Alvise Sommariva Marco Vianello; We present a brief survey on (Weakly) Admissible Meshes and corresponding Discrete Extremal Sets, namely Approximate Fekete Points and Discrete Leja Points.These provide new computational tools for polynomial least s...; 关键词：Weakly admissible meshes Approximate Fekete points Discrete Leja points

Noether-type theory for discrete mechanico-electrical dynamical systems with nonregular lattices被引量：9: 《Science China(Physics,Mechanics & Astronomy)》2010年第9期1687-1698,共12页FU JingLi1,CHEN LiQun2 & CHEN BenYong3 1 Institute of Mathematical Physics,Zhejiang Sci-Tech University,Hangzhou 310018,China 2 Department of Mechanics,Shanghai University,Shanghai 200072,China 3 Faculty of Mechanical-Engineering & Automation,Zhejiang Sci-Tech University,Hangzhou 310018,China; supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055); We investigate Noether symmetries and conservation laws of the discrete mechanico-electrical systems with nonregular lattices.The operators of discrete transformation and discrete differentiation to the right and left...; 关键词：NOETHER symmetry VARIATIONAL formula quasi-extremal equation conservation law DISCRETE mechanico-electrical dynamical system

Symmetries and exact solutions of discrete nonconservative systems被引量：3: 《Science China(Physics,Mechanics & Astronomy)》2010年第9期1699-1706,共8页FU JingLi1,LI XiaoWei2,LI ChaoRong1,ZHAO WeiJia3 & CHEN BenYong4 1 Institute of Mathematical Physics,Zhejiang Sci-Tech University,Hangzhou 310018,China 2 Department of Physics,Shangqiu Normal University,Shangqiu 476000,China 3 Department of Mathematics,Qingdao University,Qingdao 266071,China 4 Faculty of Mechanical Engineering & Automation,Zhejiang Sci-Tech University,Hangzhou 310018,China; supported by the National Natural Science Foundation of China (Grant No.10672143); Based on the property of the discrete model entirely inheriting the symmetry of the continuous system,we present a method to construct exact solutions with continuous groups of transformations in discrete nonconservat...; 关键词：DISCRETE NONCONSERVATIVE system symmetry CONSERVED quantity quasi-extremal equation exact solution

Noether-type theorem for discrete nonconservative dynamical systems with nonregular lattices被引量：11: 《Science China(Physics,Mechanics & Astronomy)》2010年第3期545-554,共10页FU JingLi1, CHEN LiQun2 & CHEN BenYong3 1 Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China 2 Department of Mechanics, Shanghai University, Shanghai 200072, China 3 Faculty of Mechanical-Engineering & Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China; supported by the National Natural Science Foundation of China (Grant Nos. 10672143 and 60575055); We investigate Noether symmetries and conservation laws of the discrete nonconserved systems with nonregular lattices. The operators of discrete transformation and discrete differentiation to the right and left are in...; 关键词：NOETHER symmetry VARIATIONAL formula quasi-extremal equation conservation law DISCRETE nonconserved dynamical system

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