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Title:
Difference-differential operators for basic adaptive discretizations and their central function systems
Authors:
ID
Birk, Lucia
(
Author
)
ID
Roßkopf, Sophia
(
Author
)
ID
Ruffing, Andreas
(
Author
)
Files:
Advances_in_Difference_Equations_2012_Birk,_Roßkopf,_Ruffing_Difference-differential_operators_for_basic_adaptive_discretizations_and_th.pdf
(408,24 KB)
MD5: 130BFB507E8C343FBF177DBDE5C2474A
http://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2012-151
Language:
English
Work type:
Scientific work
Typology:
1.01 - Original Scientific Article
Organization:
UM - University of Maribor
Abstract:
The concept of inherited orthogonality is motivated and an optimality statement for it is derived. Basic adaptive discretizations are introduced. Various properties of difference operators which are directly related to basic adaptive discretizations are looked at. A Lie-algebraic concept for obtaining basic adaptive discretizations is explored. Some of the underlying moment problems of basic difference equations are investigated in greater detail.
Keywords:
discretization
,
difference operator
,
Lie algebra
,
difference equations
Publication status:
Published
Publication version:
Version of Record
Year of publishing:
2012
Number of pages:
str. 1-19
Numbering:
Letn. 2012
PID:
20.500.12556/DKUM-66432
ISSN:
1687-1847
ISSN on article:
1687-1847
DOI:
10.1186/1687-1847-2012-151
NUK URN:
URN:SI:UM:DK:TSZZ6EY4
Publication date in DKUM:
26.06.2017
Views:
1495
Downloads:
377
Metadata:
Categories:
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Record is a part of a journal
Title:
Advances in Difference Equations
Shortened title:
Adv. Differ. Equ.
Publisher:
Springer
ISSN:
1687-1847
COBISS.SI-ID:
522073625
Licences
License:
CC BY 4.0, Creative Commons Attribution 4.0 International
Link:
http://creativecommons.org/licenses/by/4.0/
Description:
This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:
26.06.2017
Secondary language
Language:
Slovenian
Keywords:
diskretizacija
,
diferencialni operator
,
Liejeva algebra
,
diferencialne enačbe
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