Research Article
New Stable Closed Newton-Cotes Trigonometrically Fitted Formulae for Long-Time Integration
Table 1
Closed Newton-Cotes integral rules.
| | | | | | | | | | | |
| 0 | 1 | 1 | | | | | | | | | 1 | 1/2 | 1 | 1 | | | | | | | | 2 | 1/3 | 1 | 4 | 1 | | | | | | | 3 | 3/8 | 1 | 3 | 3 | 1 | | | | | | 4 | 2/45 | 7 | 32 | 12 | 32 | 7 | | | | | 5 | 5/288 | 19 | 75 | 50 | 50 | 75 | 19 | | | | 6 | 1/140 | 41 | 216 | 27 | 272 | 27 | 216 | 41 | | | 7 | 7/17280 | 751 | 3577 | 1323 | 2989 | 2989 | 1323 | 3577 | 751 | | 8 | 4/14175 | 989 | 5888 | −928 | 10496 | −4540 | 10496 | −928 | 5888 | 989 |
|
|