Discrete-time orthogonal spline collocation methods for vibration problems

被引：21

作者：

Li, BK

Fairweather, G

Bialecki, B

机构：

[1] Avaya Inc, Westminster, CO 80234 USA

[2] Colorado Sch Mines, Dept Math & Comp Sci, Golden, CO 80401 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2002年 / 39卷 / 06期

关键词：

vibration problems; orthogonal spline collocation; Gauss points; Crank-Nicolson scheme; alternating direction implicit method;

D O I：

10.1137/S0036142900348729

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Discrete-time orthogonal spline collocation schemes are formulated and analyzed for vibration problems involving various boundary conditions. Each problem is written as a Schrodinger-type system, which is then approximated by Crank Nicolson and/or alternating direction implicit orthogonal spline collocation schemes. These schemes are shown to be second-order accurate in time and of optimal order accuracy in space in the H-m-norm, m=1, 2.

引用

页码：2045 / 2065

页数：21

共 13 条

[1] DYNAMIC-RESPONSE OF PLATE SYSTEMS BY COMBINING FINITE-DIFFERENCES, FINITE-ELEMENTS AND LAPLACE TRANSFORM [J].