...gn="top">[2]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from
...[a2]</TD> <TD valign="top"> F.B. Hildebrand, "Introduction to numerical analysis" , McGraw-Hill (1974)</TD></TR>
2 KB (335 words) - 14:03, 30 April 2023
...o method|Monte-Carlo method]]; [[Stochastic numerical algorithm|Stochastic numerical algorithm]]) and mixed settings.
...atics, statistics, complexity theory, algorithmic analysis, number theory, analysis and measure theory have all been influential. See also [[#References|[a2]]]
6 KB (871 words) - 17:45, 1 July 2020
...">[a3]</TD> <TD valign="top"> C.-E. Froberg, "Introduction to numerical analysis" , Addison-Wesley (1965) pp. 157</TD></TR></table>
3 KB (346 words) - 08:23, 6 June 2020
...roblems (see [[Non-linear equation, numerical methods|Non-linear equation, numerical methods]]). In order to realise these modifications it is important to be a
.../TD></TR><TR><TD valign="top">[5]</TD> <TD valign="top"> R. Glowinski, "Numerical methods for nonlinear variational problems" , Springer (1984)</TD></TR><TR
6 KB (948 words) - 15:32, 14 February 2020
...gn="top">[2]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from
...[a3]</TD> <TD valign="top"> F.B. Hildebrand, "Introduction to numerical analysis" , McGraw-Hill (1974)</TD></TR></table>
4 KB (623 words) - 07:44, 14 January 2024
...valign="top">[3]</TD> <TD valign="top"> G.I. Marchuk, V.I. Lebedev, "Numerical methods in the theory of neutron transport" , Harwood (1986) (Translated
...ve) parabolic problem (cf. [[#References|[a2]]]). Because of the inherent (numerical) stiffness an implicit discretization method, such as BDF, should be advoca
4 KB (649 words) - 05:25, 19 March 2022
Numerical methods for obtaining two-sided estimates (two-sided approximations) are kn
...<TD valign="top"> V.I. Devyatko, "On a two-sided approximation for the numerical integration of ordinary differential equations" ''USSR Comp. Math. Math. P
8 KB (1,164 words) - 08:27, 6 June 2020
...> <TD valign="top"> J. Stoer, R. Bulirsch, "Introduction to numerical analysis" , Springer (1993) pp. 338ff</TD></TR>
936 bytes (133 words) - 22:28, 22 November 2016
The comparison of algorithms and the analysis of numerical problems in a Bayesian setting, cf. also [[Bayesian approach|Bayesian appro
...worst-case sense over the class $P$. Alternatively, in Bayesian numerical analysis, one puts an [[A priori distribution|a priori distribution]] $\mu$ on the i
6 KB (908 words) - 18:44, 21 March 2024
...d in [[Variational calculus|variational calculus]]. There are also various numerical approximation methods for finding maximum and minimum points.
...gn="top">[4]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from
5 KB (801 words) - 08:00, 6 June 2020
...uations, to produce by means of the well-developed apparatus of continuous
analysis preliminary results on the convergence and optimality of iteration methods,
...ath.org/legacyimages/c/c025/c025600/c02560045.png" /> and using for (12) a
numerical discretization formula at the points <img align="absmiddle" border="0" src=
15 KB (2,038 words) - 17:21, 7 February 2011
...al (cf. [[Chebyshev polynomials|Chebyshev polynomials]]) in the theory of (numerical) interpolation, integration, etc. [[#References|[a1]]].
...valign="top"> L. Fox, I. Parker, "Chebyshev polynomials in numerical analysis" , Oxford Univ. Press (1968)</TD></TR></table>
2 KB (296 words) - 16:59, 22 November 2018
A method to construct an approximating equation for approximate (and numerical) solutions of certain kinds of linear and non-linear integral equations. Th
...="top"> L.V. Kantorovich, V.I. Krylov, "Approximate methods of higher analysis" , Noordhoff (1958) (Translated from Russian)</TD></TR></table>
3 KB (401 words) - 17:32, 5 June 2020
...olume of the medium is large. The method has been successfully used in the analysis of the optical fibre oximeter of blood. The use of the so-called Henyey–G
...ow theory]]; [[Transport equations, numerical methods|Transport equations, numerical methods]].
2 KB (336 words) - 17:10, 7 February 2011
...gn="top">[2]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from
...p"> G.M. Phillips, P.J. Taylor, "Theory and applications of numerical analysis" , Acad. Press (1973)</TD></TR></table>
4 KB (640 words) - 14:37, 13 January 2024
A typical problem used as a model for investigating and developing numerical methods for some class of problems. For example, in the theory of [[Quadrat
...align="top">[1]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from Ru
2 KB (281 words) - 08:01, 6 June 2020
...cumulated errors in larger calculations. Analysis of accumulated errors in numerical methods permits one to describe methods according to their susceptibility t
...gn="top">[3]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from
3 KB (515 words) - 18:22, 18 April 2023
...a particular case of the [[Adjustment method|adjustment method]]. For the numerical solution of (1), or (2), one may, use, e.g., difference methods. In depende
...</TR><TR><TD valign="top">[3]</TD> <TD valign="top"> Yu.G. Evtushenko, "Numerical optimization techniques" , Optim. Software (1985) (Translated from Russia
4 KB (519 words) - 22:10, 5 June 2020
...n="top">[a3]</TD> <TD valign="top"> B. Wendroff, "Theoretical numerical analysis" , Acad. Press (1966) pp. Chapt. 1</TD></TR></table>
3 KB (522 words) - 20:12, 10 January 2024
...gn="top">[2]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from
1,010 bytes (152 words) - 08:54, 25 November 2018