Name
Abstract | ||
|---|---|---|
The infinite integral converges but is hard to evaluate because the integrand f(x) = x/(1 + x
6sin2
x) is a non-convergent and unbounded function, indeed f(kπ) = kπ→ ∞ (k→ ∞). We present an efficient method to evaluate the above integral in high accuracy and actually obtain an approximate value
in up to 73 significant digits on an octuple precision system in C++. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/s11075-009-9265-4 | Numerical Algorithms |
Keywords | Field | DocType |
Infinite integral,Unbounded integrand,Contour integral,Residues,Numerical evaluation,High accuracy,Octuple precision,65D30 | Mathematical optimization,Mathematical analysis,Methods of contour integration,Mathematics | Journal |
Volume | Issue | ISSN |
52 | 2 | 1017-1398 |
Citations | PageRank | References |
2 | 0.68 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yasuyo Hatano | 1 | 3 | 1.46 |
| Ichizo Ninomiya | 2 | 4 | 1.49 |
| Hiroshi Sugiura | 3 | 4 | 1.87 |
| Takemitsu Hasegawa | 4 | 16 | 7.38 |