| Title:
|
Extrapolation method for numerical calculation of the derivative of the analytical function and its error estimate (English) |
| Author:
|
Gogová, Dagmar |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
16 |
| Issue:
|
2 |
| Year:
|
1971 |
| Pages:
|
125-135 |
| Summary lang:
|
English |
| Summary lang:
|
Slovak |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper a numerical method of calculation of the derivative is described. Error coefficients are tabulated and their application is shown on some examples. () |
| MSC:
|
65B05 |
| MSC:
|
65D25 |
| idZBL:
|
Zbl 0225.65021 |
| idMR:
|
MR0283456 |
| DOI:
|
10.21136/AM.1971.103336 |
| . |
| Date available:
|
2008-05-20T17:50:11Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103336 |
| . |
| Reference:
|
[1] Rutishauser H.: Ausdehnung des Rombergenschen Prinzips.Numerische Mathematik, 5, 1963,48-54. MR 0170476 |
| Reference:
|
[2] Engels H.: Fehlereinschliessung bei der numerischen Differentiation mit Hilfe des Richardsonschen Prinzips.Zeitschrift für angewandte Mathematik und Mechanik, Bd. 48, Heft 8, 1968, 59-61. Zbl 0164.17703, MR 0260171 |
| Reference:
|
[3] Bulirsch R.: Bemerkungen zur Romberg-lntegration.Numerische Mathematik, 6, 1964, 7. MR 0165688, 10.1007/BF01386048 |
| Reference:
|
[4] Stetter H. J.: Asymptotic Expansions for the Error of Discretization Algorithms for Nonlinear Functional Equations.Numerische Mathematik, 7, 1965, 18-31. MR 0175320, 10.1007/BF01397970 |
| Reference:
|
[5] Davis P. J.: Errors of Numerical Approximation for Analysis by J. Todd.McGraw-Hill Book Company, New York, 1962. |
| . |
