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| A TWO-STEP EXPLICIT METHOD FOR A CLASS OF LINEAR PERIODIC INITIAL VALUE PROBLEMS | |
| 作者姓名： | 李庆宏 罗亮生 吴新元 |
| 作者单位： | Dept.of Math.，.Nanjing University，Dept.of Math.，Nanjing University，Dept.of Math，Nanjing University Nanjing 210093，PRC/Dept.of Math，Chuzhou Normal College，Chuzhou PRC 239012，Nanjing PRC 210093，Nanjing 210093，PRC/State Key Laboratory for Novel Software Technology at Nanjing University，Nanjing PRC 210093 |
| 摘 要： | This paper presents a two-step explicit method of order four for solving a class of linear periodic initial value problems. At each computational step, only two right function evaluations and one derivative evaluation are employed. Basing on a special vector operation, the method can be extended to the vector-applicable in multidimensional space. |
A TWO-STEP EXPLICIT METHOD FOR A CLASS OF LINEAR PERIODIC INITIAL VALUE PROBLEMS |
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| Li Qinghong Dept. of Math.,Nanjing University,Nanjing ,PRC/ Dept. of Math.,Chuzhou Normal College,Chuzhou ,PRC Luo Liangsheng Dept. of Math.,Nanjing University,Nanjing ,PRC Wu Xinyuan Dept. of Math.,Nanjing University,Nanjing ,PRC/ State Key Laboratory for Novel Software Technology at Nanjing University,Nanjing ,PRC.A TWO-STEP EXPLICIT METHOD FOR A CLASS OF LINEAR PERIODIC INITIAL VALUE PROBLEMS[J].Numerical Mathematics A Journal of Chinese Universities English Series,2003,12(1). | |
| Authors: | Li Qinghong Dept of Math Nanjing University Nanjing PRC/ Dept of Math Chuzhou Normal College Chuzhou PRC Luo Liangsheng Dept of Math Nanjing University Nanjing PRC Wu Xinyuan Dept of Math Nanjing University Nanjing PRC/ State Key Laboratory for Novel Software Technology at Nanjing University Nanjing PRC |
| Institution: | 1. Dept.of Math., Nanjing University, Nanjing 210093, PRC/Dept. of Math., Chuzhou Normal College, Chuzhou 239012, PRC 2. Dept. of Math., Nanjing University, Nanjing 210093, PRC 3. Dept.of Math., Nanjing University, Nanjing 210093, PRC/State Key Laboratory for Novel Software Technology at Nanjing University,Nanjing 210093, PRC |
| Abstract: | This paper presents a two-step explicit method of order four for solving a class of linear periodic initial value problems. At each computational step, only two right function evaluations and one derivative evaluation are employed. Basing on a special vector operation, the method can be extended to the vector-applicable in multidimensional space. |
| Keywords: | linear periodic initial value problem characteristic equation periodicity interval vector product and quotient |
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