Name
Abstract | ||
|---|---|---|
0 zj φj j µ s i=1(j + αi )−νi ,w hereµ ∈ R ,ν i 0a ndαi ∈ C, 1 i s ,a re known parameters, and φj = φ(j), φ being a given real or complex function, analytic at infinity. Such series embody many cases treated by specific methods in the recent literature on acceleration. Our approach rests on explicit asymptotic summation, started from the efficient numerical computation of the Laurent coefficients of φ. The effectiveness of the resulting method, termed ASM (Asymptotic Summation Method), is shown by several numerical tests. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1023/A:1016738517989 | Numerical Algorithms |
Keywords | Field | DocType |
slowly convergent power series,coefficients analytic at infinity,numerical differentiation of analytic functions,asymptotic summation method,fast summation | Euler summation,Summation equation,Pairwise summation,Summation by parts,Mathematical optimization,Mathematical analysis,Poisson summation formula,Divergent series,Mathematics,Summation of Grandi's series,Borel summation | Journal |
Volume | Issue | ISSN |
27 | 1 | 1572-9265 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alvise Sommariva | 1 | 113 | 13.55 |
| Marco Vianello | 2 | 247 | 34.70 |
| Renato Zanovello | 3 | 11 | 3.15 |