应用数学2011，Vol.24Issue(1)：96-103,8.
求解刚性振荡问题的两类带显式级的三级对角隐式Runge-Kutta方法
Two Classes of Three-Stage Diagonally-Implicit Runge-Kutta Methods with an Explicit Stage for Stiff Oscillatory Problems
摘要
Abstract
In this paper, we discuss order, stage-order, A-stability, phase error and amplification error of two classes of three-stage diagonally-implicit Runge-Kutta methods with an explicit stage for stiff oscillatory problems. The constructed methods are sucessfully applied to an atmophere reaction problem.关键词
刚性振荡问题/对角隐式Runge-Kutta方法/A-稳定/相误差/耗散误差分类
数理科学引用本文复制引用
文志武,朱婷,肖爱国..求解刚性振荡问题的两类带显式级的三级对角隐式Runge-Kutta方法[J].应用数学,2011,24(1):96-103,8.基金项目
国家自然科学基金资助项目(10971175),教育部高校博士点基金项目(20094301110001),湖南省自然科学基金项目(09JJ3002),湖南省教育厅资助科研项目(09C944) （10971175）
