一类A(α)-稳定降阶的Gear方法

• 作者: 刘冬兵 罗景军 马亮亮
• 来源期刊: 高等学校计算数学学报
• 学科: 数学
• 年，卷（期）: 2017,（2）
• 页码范围: 129-144
• 页数: 16页
• 分类号: O241.81
• 语种: 中文

摘要

In this paper a new class of linear k-step methods of order k-1 is given.The fractal coefficients of the formulas of order 2 to 7 in this class are deduced,the orders and error coefficients are also gotten.Then we proved that they are A(α)-stability and the radiant angles of stability α are given.Finally,by means of the comparison numerical experiment,it is verified that they are stable and suitable for solving initial value problems of stiff ordinary differential equations.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	马亮亮		49	136	6.0	8.0
2	刘冬兵		41	68	4.0	5.0
3	罗景军		1	0	0.0	0.0