In this paper we derive necessary optimality conditions for an interpolating spline function which minimizes the Holladay approximation of the energy functional and which stays monotone if the given interpolation data are monotone. To this end optimal control theory for state-restricted optimal cont
β¦ LIBER β¦
On the computation of numerical derivatives by cubic splines
β Scribed by R. P. Tewarson
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 382 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0029-5981
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## Abstract Theoretical aspects related to the approximation of the semilinear parabolic equation: $u\_t=\Delta u+f(u)$\nopagenumbers\end, with a finite unknown βblowβupβ time __T__~b~ have been studied in a previous work. Specifically, for __Ξ΅__ a small positive number, we have considered coupled