...[2]</TD> <TD valign="top"> L.V. Kantorovich, G.P. Akilov, "Functional analysis in normed spaces" , Pergamon (1964) (Translated from Russian)</TD></TR><T
...align="top">[a1]</TD> <TD valign="top"> J.E. Denis jr., R. Schnable, "Numerical methods for unconstrained optimization and nonlinear equations" , Prentice-
4 KB (523 words) - 22:14, 5 June 2020
...special challenges to working scientists (cf. also [[Fredholm equation, numerical methods]]). Unlike equations of the second kind, for which the existence o
The analysis of the method of regularization is best carried out in the context of a [[
10 KB (1,476 words) - 17:34, 25 April 2012
...a number of problems, both analytical and numerical; for example, in the (numerical) solution of linear equations and eigenvalue problems. A few well-known fac
...Bu}}||valign="top"| J. Stoer, R. Bulirsch, "Introduction to numerical analysis", Springer (1993) {{MR|1295246}} {{ZBL|0771.65002}}
9 KB (1,294 words) - 22:47, 28 February 2015
...e reproducing formula]].) Such window functions are also used in numerical analysis.
3 KB (466 words) - 07:33, 8 February 2024
A computational algorithm processes the numerical and the symbolic information and usually involves a loss of information and
...stimates may not be sufficiently accurate. A widespread method is interval analysis, in which confidence bounds of the computed magnitudes may be obtained in t
10 KB (1,642 words) - 08:41, 29 August 2014
...error). The latter problem is characteristic, for example, of problems in numerical integration in which the number of points of integration, which measures th
For problem (1), the subject of harmonic analysis, the simplest methods require $ \sim N ^ {2} $
20 KB (2,838 words) - 19:21, 13 January 2024
...ncy: weighting as a possible alternative to trimming in response-time data analysis]. Psikhologicheskie Issledovaniya, 5(19).</ref>. Thus, central observations
Consider a simple numerical example of a dataset consisting of four observations: x<sub>1</sub> = 5, x<
3 KB (531 words) - 16:32, 12 July 2023
In general form the analysis of parametric programming problems has the following aims. 1) To find and c
Numerical methods for solving one-parameter problems in linear parametric programming
7 KB (982 words) - 16:44, 20 January 2024
...ent methods for solving partial differential equations. The complete error analysis of the finite difference and finite volume schemes in [[#References|[a9]]]
...cation of the Bramble–Hilbert lemma in constructive function theory and in numerical methods for differential equations.
11 KB (1,716 words) - 17:52, 3 January 2021
$#C+1 = 113 : ~/encyclopedia/old_files/data/V096/V.0906230 Variational numerical methods
...ier transform, discrete]]). The Galerkin method can also be applied to the numerical solution of evolution equations, leading to a system of ordinary differenti
15 KB (2,260 words) - 08:17, 9 January 2024
...hosen a coordinate system (Cartesian, polar or any other coordinates), the numerical points $ ( x, f ( x)) $,
An extremely important theorem in functional analysis is the so-called [[Closed-graph theorem|closed-graph theorem]]: If $ X $
3 KB (568 words) - 19:42, 5 June 2020
Requirements of engineering have led to the development of numerical methods for solving neutron-transport equations in order to calculate criti
...uation). See [[Transport equations, numerical methods|Transport equations, numerical methods]].
8 KB (1,248 words) - 18:31, 13 January 2024
...144 : ~/encyclopedia/old_files/data/N067/N.0607110 Non\AAhlinear equation, numerical methods
Numerical methods for the solution of a non-linear equation (3) are called iteration
20 KB (2,830 words) - 19:25, 9 January 2024
...]], etc.). In many cases such approximate results match well with accurate numerical predictions.
...pproximations to the solutions of the original problems. In several cases, numerical methods and perturbation methods complement each other. The use of mathemat
11 KB (1,761 words) - 08:32, 23 July 2014
...><TR><TD valign="top">[5]</TD> <TD valign="top"> G.D. Kim, , ''Numerical analysis in Fortan'' , '''3''' , Moscow (1973) pp. 97–113 (In Russian)</TD></TR
7 KB (998 words) - 19:17, 17 January 2024
...gn="top">[2]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from
4 KB (587 words) - 02:27, 1 March 2022
Benjamin and Feir used a linearized analysis to show that
...[[#References|[a9]]] to study the long-time evolution of the instability. Numerical experiments indicate that the instability leads to two different types of r
7 KB (969 words) - 10:58, 29 May 2020
...= 135 : ~/encyclopedia/old_files/data/V096/V.0906210 Variational calculus, numerical methods of
The branch of numerical mathematics in which one deals with the determination of extremal values of
23 KB (3,462 words) - 08:27, 6 June 2020
...ernal stability number (see [[Graph, numerical characteristics of a|Graph, numerical characteristics of a]]).
...align="top">[9]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from Ru
10 KB (1,477 words) - 11:05, 26 March 2023
be its point spectrum, i.e. the set of numerical functions $ \lambda = \lambda ( A ) $
...locally compact Abelian group (see [[Harmonic analysis, abstract|Harmonic analysis, abstract]]), which consists of finding conditions under which the subspace
9 KB (1,382 words) - 08:22, 6 June 2020