A method for approximately solving non-linear operator
equations. It consists of generalizing the equation to be solved, <img align="absmidd
If the
difference <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/l
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...nary differential equations with deviated arguments, ordinary differential equations with deviating arguments''
Ordinary differential equations connecting the argument, the unknown function and its derivatives generally taken for different values of the argument. Examp
27 KB (3,819 words) - 16:54, 7 February 2011
...athematical physics where the boundaries of the working regions are moving and undergo considerable deformations. A substantial part of an algorithm for h
...the cells (the enumeration is analogous to that of matrix elements by rows and columns).
5 KB (759 words) - 10:59, 16 April 2014
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...a12]]], [[#References|[a13]]], [[#References|[a14]]], [[#References|[a2]]] and the numerous references therein).
15 KB (2,182 words) - 12:41, 23 February 2024
...0107360 Boundary value problem, numerical methods for partial differential equations
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16 KB (2,196 words) - 05:17, 14 September 2022
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...transport equation (cf. [[Transport equations, numerical methods|Transport equations, numerical methods]])
4 KB (433 words) - 08:28, 6 June 2020
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from above and from below. An estimate from above is an inequality of the form $ a \leq
8 KB (1,164 words) - 08:27, 6 June 2020
...rd "system" in their names, such as systems analysis, system-technology, and general systems theory, among others.
...s to the description of complex systems are united by a common methodology and a common object of study.
4 KB (532 words) - 17:22, 7 February 2011
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in the problem of an extremum for the functional
6 KB (811 words) - 22:15, 5 June 2020
$#C+1 = 201 : ~/encyclopedia/old_files/data/D031/D.0301730 Difference scheme, variational
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22 KB (3,256 words) - 17:33, 5 June 2020
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...ving problems of optimal control with constraints on the phase coordinates and control functions, based on variation in the state space (see [[#References
6 KB (898 words) - 17:24, 31 December 2020
$#C+1 = 153 : ~/encyclopedia/old_files/data/F042/F.0402060 Functional equation
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19 KB (2,803 words) - 19:40, 5 June 2020
$#C+1 = 201 : ~/encyclopedia/old_files/data/F042/F.0402070 Functional equation, methods of solution of a
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23 KB (3,277 words) - 19:16, 16 January 2024
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and range of values in a Banach space $ Y $.
6 KB (956 words) - 12:55, 20 March 2023
...all png images have been replaced by TeX code, please remove this message and the {{TEX|semi-auto}} category.
...e to a solution of the given equation. The stability problem of functional equations originates from such a fundamental question.
12 KB (1,800 words) - 19:48, 6 February 2024
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A method for solving functional equations of the type:
8 KB (1,085 words) - 08:29, 6 June 2020
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...e, two problems are usually studied: the [[Cauchy problem|Cauchy problem]] and the [[Mixed problem|mixed problem]].
6 KB (798 words) - 05:40, 19 March 2022
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...ense, this name, adopted also by A.L. Cauchy, was used in the 19th century and in the 20th century (cf. [[#References|[a2]]], [[#References|[a3]]], [[#Ref
6 KB (957 words) - 06:42, 26 March 2023
...mula]] [[#References|[a1]]], [[Spline interpolation|spline interpolation]] and Fourier transformation (cf. [[Fourier transform|Fourier transform]]) [[#Ref
...fferential equations. The complete error analysis of the finite difference and finite volume schemes in [[#References|[a9]]] is based on the Bramble–Hil
11 KB (1,716 words) - 17:52, 3 January 2021
...m of analytical expressions are only known for a few types of differential equations.
...f the oldest methods for the approximate solution of ordinary differential equations is their expansion into a Taylor series. In this method the solution of an
32 KB (4,604 words) - 16:55, 7 February 2011