两对连续的 (4, 5) 显式九级 Runge-Kutta 方法
数值分析
2022-04-21 v2 数值分析
摘要
推导了一个 11 维族的具有 5 阶插值子的嵌入式 (4, 5) 显式九级 Runge-Kutta 方法对。给出了两对为效率优化的方法对。
引用
@article{arxiv.2202.08443,
title = {Two continuous (4, 5) pairs of explicit 9-stage Runge-Kutta methods},
author = {Misha Stepanov},
journal= {arXiv preprint arXiv:2202.08443},
year = {2022}
}
备注
18 pages, 9 figures, 4 tables. New version corrects data in Figure 7, tests A3 and D5: now the efficiency curves for (Verner, 2020, tab. 3) and Table 4 pairs show maximal error along the whole trajectory (in previous version they erroneously were showing just the error at t = 20)