...bature (for calculating multiple integrals) formulas have been derived for numerical integration (cf. [[Quadrature formula]]; [[Cubature formula]]).
See also [[Interpolation in numerical mathematics]].
1 KB (164 words) - 08:00, 16 April 2023
...therwise it is called defective. The notion is of particular importance in numerical [[Linear-algebra(2)|linear algebra]].
* D.M. Young, R.T. Gregory, "A survey of numerical mathematics" , '''2''' , Dover, reprint (1988) pp. 741–743
749 bytes (104 words) - 14:06, 19 November 2023
''in numerical analysis''
89 bytes (10 words) - 16:55, 7 February 2011
[[Category:Numerical analysis and scientific computing]]
269 bytes (32 words) - 16:33, 26 October 2014
...heory of approximation of functions and the theory of numerical methods in analysis.
763 bytes (111 words) - 17:25, 7 February 2011
''accuracy analysis''
A systematic study of the precision and errors of numerical and statistical calculation and estimation procedures. See, e.g., [[Error|E
206 bytes (29 words) - 17:24, 7 February 2011
...rule, is assumed to be known. In general, $\tau$ is a parameter that is a numerical characteristic of the approximating set (e.g. its dimension) or of the meth
In numerical analysis, the approximation order of a numerical method having error $O(h^m)$, where $h$ is the step of the method, is the e
2 KB (326 words) - 09:43, 26 April 2014
In the numerical solution of a problem, the error in the result is due to inaccuracies occur
...TD></TR><TR><TD valign="top">[3]</TD> <TD valign="top"> V.V. Voevodin, "Numerical methods of algebra" , Moscow (1966) (In Russian)</TD></TR><TR><TD valign=
3 KB (519 words) - 22:31, 1 November 2014
...(cf. [[Fourier integral|Fourier integral]]), which are objects of harmonic analysis.
...[a2]</TD> <TD valign="top"> Y. Katznelson, "An introduction to harmonic analysis" , Dover, reprint (1976) {{MR|0422992}} {{ZBL|0352.43001}} </TD></TR></ta
2 KB (287 words) - 11:59, 27 September 2012
$#C+1 = 34 : ~/encyclopedia/old_files/data/D032/D.0302320 Differentiation, numerical
Finding the derivative of a function by numerical methods. Such differentiation is resorted to when the methods of [[Differen
5 KB (779 words) - 19:35, 5 June 2020
...lign="top">[3]</TD> <TD valign="top"> A.A. Samarskii, E.S. Nikolaev, "Numerical methods for grid equations" , '''1–2''' , Birkhäuser (1989) (Translate
2 KB (287 words) - 12:05, 13 August 2014
...lign="top">[6]</TD> <TD valign="top"> A.A. Samarskii, E.S. Nikolaev, "Numerical methods for grid equations" , '''1–2''' , Birkhäuser (1989) (Translate
2 KB (295 words) - 14:06, 14 August 2014
...g of the nodes by their distances from the interpolation point reduces the numerical error in the interpolation.
...gn="top">[2]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from
3 KB (368 words) - 08:38, 13 May 2022
...d; this problem is concerned with the testing of hypotheses concerning the
numerical values of several contrasts.
<table><TR><TD valign="top">[1]</TD> <TD valign="top"> H. Scheffé, "
Analysis of variance" , Wiley (1959)</TD></TR></table>
1 KB (152 words) - 08:11, 13 February 2024
are known, and the numerical vector $ h = ( h _ {1} \dots h _ {n} ) ^ {T} $
This problem can be solved using numerical methods. In order to solve (5) it is usually necessary to choose some itera
4 KB (528 words) - 08:13, 6 June 2020
...algorithms of [[Statistical modelling|statistical modelling]] used in the numerical research into random processes and phenomena, and algorithms of the [[Monte
...ind (see [[#References|[4]]]). Particularly effective are those stochastic numerical algorithms that allow a number of realizations of the algorithm to be made
5 KB (649 words) - 17:24, 7 February 2011
...gn="top">[2]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from
...[a4]</TD> <TD valign="top"> F.B. Hildebrand, "Introduction to numerical analysis" , Dover, reprint (1987) pp. §10.5</TD></TR></table>
5 KB (691 words) - 16:24, 21 June 2020
...gn="top">[4]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from
...p">[a4]</TD> <TD valign="top"> P.J. Davis, P. Rabinowitz, "Methods of numerical integration" , Acad. Press (1984)</TD></TR><TR><TD valign="top">[a5]</TD>
4 KB (614 words) - 21:36, 1 January 2019
...terature these formulas are known as the Newton–Cotes formulas. A detailed analysis of them can be found in [[#References|[a1]]], [[#References|[a3]]], [[#Refe
...p">[a3]</TD> <TD valign="top"> P.J. Davis, P. Rabinowitz, "Methods of numerical integration" , Acad. Press (1984)</TD></TR>
2 KB (240 words) - 21:28, 18 January 2018
$#C+1 = 232 : ~/encyclopedia/old_files/data/I051/I.0501950 Interpolation in numerical mathematics
...rpolation of functionals and operators is also widely used in constructing numerical methods.
26 KB (3,882 words) - 22:13, 5 June 2020