Stability Criterion of Difference Schemes for the Heat Conduction Equation with Nonlocal Boundary Conditions
Abstract: The elements of the stability theory of nonselfadoint difference schemes for nonstationary problems of mathematical physics are discussed. Difference schemes for the heat conduction equation with nonlocal boundary conditions are considered in detail from the viewpoint of the general stability theory of two-layer operator-difference schemes. The necessary and sufficient stability conditions in the sense of the initial data in special energy norm have been found. The equivalence of the energy norm to the grid L2-norm has been proved. A priori estimates expressing the difference schemes stability in the sense of the right-hand side have been constructed.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Stability Criterion of Difference Schemes for the Heat Conduction Equation with Nonlocal Boundary Conditions ; volume:6 ; number:1 ; year:2006 ; pages:31-55
Computational methods in applied mathematics ; 6, Heft 1 (2006), 31-55
- Creator
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Gulin, A.
Ionkin, N.
Morozova, V.
- DOI
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10.2478/cmam-2006-0002
- URN
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urn:nbn:de:101:1-2410261618549.655529483665
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:25 AM CEST
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Associated
- Gulin, A.
- Ionkin, N.
- Morozova, V.
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