Correct solvability of the difference Pade schemes for parabolic equations in Holder spaces
We study Padé difference scheme for the approximate solution of the Cauchy problem for parabolic equations generated by the Padé fractions $R_{j,l}$, of exponential approximation. We establish an estimate of the coerciveness of the difference schemes for $j=l-2, l-1$, or even $j=l$ in a smaller spac...
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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8247 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We study Padé difference scheme for the approximate solution of the Cauchy problem for parabolic equations generated by the Padé fractions $R_{j,l}$, of exponential approximation. We establish an estimate of the coerciveness of the difference schemes for $j=l-2, l-1$, or even $j=l$ in a smaller space than $C_0^{\alpha}(E)$. |
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