| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
We proposed the ``look-ahead'' linear multistep methods (LALMM), a new class of discrete variable methods solving initial-value problems of ordinary differential equations, gave analysis of their order of convergence as well as of stability and derived several LALMM of two steps, whose implementation and performance evaluation were carried out. Our results showed that the new schemes of LALMM are competitive with the conventional methods like as the classical Runge-Kutta method. Our study suggested more well-performing LALMM can be derived by increasing its number of steps can be introduced and extended to apply to other functional equations closely related to ordinary differential equations.
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