A Nonlinear Integration Scheme for Evolutionary Differential Equations

摘要：

　　In this paper,we investigate the construction of numerical schemes for evolutionary differential equations on their long-term behavior at large time steps.We consider Weierstrass theory instead of Taylors approach.It is found that for polynomials of finite terms,the exact difference results are always reachable for any sizes of time steps.It shows that the nonlinear integration scheme is capable of constructing accurate difference methods,and also has the superiority of time step size insensitivity.

关键词： evolutionary differential equation initial-value problem numerical approximation large-time-step computing

作者: H.-L.XU Z.-L.WANG

作者单位: Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072

会议类型: 国际会议

会议名称: Sixth International Conference on Nonlinear Mechanics(第六届国际非线性力学会议)(ICNM-VI)

会议地点: 上海

会议语种:英文

页码: 361-366

在线出版日期: 2013-08-01（万方平台首次上网日期，不代表论文的发表时间）