17–21 Jun 2019
Gran Sasso Science Institute, L'Aquila
Europe/Rome timezone

Convergence results for collocation methods different from the Bible

17 Jun 2019, 12:00
45m
Gran Sasso Science Institute, L'Aquila

Gran Sasso Science Institute, L'Aquila

Viale F. Crispi, 7 67100 L'Aquila

Speaker

Prof. Peter Deuflhard (Zuse Institute Berlin)

Description

The talk presents convergence results based on a nonlinear convergence theory for collocation methods, both for boundary value problems and initial value problems. For boundary value problems, the existence of so-called "ghost solutions" arises, which are non-consistent discrete solutions. For initial value problems, the special usefulness for stiff ODEs comes up naturally in terms of the condition numbers.

Presentation materials

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