are numerical parameters.
For numerical computations the matrix of a variational difference scheme should not be to
22 KB (3,256 words) - 17:33, 5 June 2020
...nal inequalities see [[#References|[a6]]], [[#References|[a7]]]; for their numerical study, see [[#References|[a8]]], [[#References|[a9]]]. Eigenvalue problems
...">[a9]</TD> <TD valign="top"> J. Haslinger, I. Hlavaček, J. Nečas, "Numerical methods for unilateral problems" P.G. Giarlet (ed.) J.L. Lions (ed.) , ''
5 KB (737 words) - 20:35, 18 March 2024
...utility theory deals with ordered sets and their monotone mappings into a numerical space (usually one-dimensional). Utility theory arose from researches by ec
...p">[a5]</TD> <TD valign="top"> P.A. Samuelson, "Foundations of economic analysis" , Harvard Univ. Press (1947)</TD></TR>
5 KB (854 words) - 09:14, 7 April 2018
...ut their solutions can be obtained as asymptotic approximations. Moreover, numerical methods are often disregarded if asymptotic approximations can be relativel
...D> <TD valign="top"> E.T. Whittaker, G.N. Watson, "A course of modern analysis" , Cambridge Univ. Press (1952) pp. Chapt. 2</TD></TR>
4 KB (660 words) - 19:29, 13 April 2024
...the solution of this equation, is generalized by introducing an auxiliary numerical (or, in general, functional) parameter $ \lambda $
and to the Cauchy problem (2) or (1) one applies a method of numerical integration of ordinary differential equations with step $ h _ {k} $(
12 KB (1,799 words) - 08:05, 6 June 2020
...gn="top">[5]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from
7 KB (1,037 words) - 17:08, 13 January 2024
A numerical technique proposed in 1960 by P.D. Lax and B. Wendroff [[#References|[a6]]]
...arch activities aimed at further improvements of methods. A large class of numerical methods for solving (a1) are the so-called conservative methods
16 KB (2,341 words) - 19:00, 26 March 2023
A transform used for the harmonic analysis of functions given on a discrete set of points.
...p">[a1]</TD> <TD valign="top"> C.E. Fröberg, "Introduction to numerical analysis, theory and applications" , Benjamin/Cummings (1985)</TD></TR>
4 KB (602 words) - 14:32, 17 March 2023
''automatic dynamic incremental non-linear analysis system''
...he name ADINA stresses that automatic procedures are used and very general analysis problems can be solved. ADINA has been developed to address many engineerin
8 KB (1,092 words) - 17:08, 7 February 2011
...[a1]</TD> <TD valign="top"> F.B. Hildebrand, "Introduction to numerical analysis" , Dover, reprint (1987) pp. 139</TD></TR></table>
3 KB (336 words) - 00:52, 31 December 2021
...he applied [[Spectral analysis of a stationary stochastic process|spectral analysis of a stationary stochastic process]].
...R><TD valign="top">[9]</TD> <TD valign="top"> M.B. Priestley, "Spectral analysis and time series" , '''1–2''' , Acad. Press (1981)</TD></TR><TR><TD valig
6 KB (747 words) - 18:22, 14 January 2021
...erential equations. It developed into a powerful and accurate tool for the numerical solution of complex differential and functional equations. A main idea in i
Theoretical error analysis for the tau method [[#References|[a18]]], [[#References|[a30]]], [[#Referen
20 KB (2,974 words) - 16:52, 1 July 2020
$#C+1 = 34 : ~/encyclopedia/old_files/data/C020/C.0200960 Cauchy problem, numerical methods for ordinary differential equations
...ssful solution of the Cauchy problem by numerical methods requires special numerical techniques, despite of the fact that, theoretically speaking, the problem i
16 KB (2,467 words) - 15:35, 4 June 2020
The numerical parameter $ \lambda $
...metric kernel]]; [[Fredholm equation, numerical methods|Fredholm equation, numerical methods]] and [[Ill-posed problems|Ill-posed problems]]. Below Fredholm equ
23 KB (3,417 words) - 02:27, 14 June 2022
...edia/old_files/data/E035/E.0305530 Elliptic partial differential equation, numerical methods
...boundary value problems, and for their approximate solution many different numerical methods have been worked out (see [[#References|[2]]], [[#References|[3]]])
13 KB (1,962 words) - 19:37, 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
.../TD> <TD valign="top"> U.M. Ascher, R.M.M. Mattheij, R.D. Russell, "Numerical solution for boundary value problems for ordinary differential equations" ,
7 KB (1,087 words) - 08:04, 6 June 2020
..."top">[4]</TD> <TD valign="top"> A.S. Householder, G.W. Stewart, "The numerical factorization of a polynomial" ''SIAM Rev.'' , '''13''' (1971) pp. 38–
...[a2]</TD> <TD valign="top"> F.B. Hildebrand, "Introduction to numerical analysis" , McGraw-Hill (1974)</TD></TR></table>
5 KB (723 words) - 07:55, 14 January 2024
a non-zero left-invariant integral; it is unique up to a numerical factor (the Haar–von Neumann–Weil theorem). This integral is called the
...">[4]</TD> <TD valign="top"> E. Hewitt, K.A. Ross, "Abstract harmonic analysis" , '''1''' , Springer (1979)</TD></TR></table>
5 KB (743 words) - 22:13, 5 June 2020
$#C+1 = 60 : ~/encyclopedia/old_files/data/L059/L.0509050 Linear algebra, numerical methods in
...th the mathematical description and investigation of processes for solving numerical problems in linear algebra.
20 KB (3,033 words) - 22:16, 5 June 2020
...to the accumulation of huge libraries of Fortran subprograms on numerical analysis, statistics, machine graphics, engineering calculations, etc.
...valign="top">[1]</TD> <TD valign="top"> D.D. MacCracken, W.S. Dorn, "Numerical methods with Fortran-IV programming, case studies" , Wiley (1972)</TD></TR
4 KB (631 words) - 19:39, 5 June 2020