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Interpolationsbasierte Reduzierte-Basis-Modellierung von Lösungskurven mit Umkehrpunkten
Citation Link: https://doi.org/10.15480/882.1284
Publikationstyp
Doctoral Thesis
Date Issued
2016
Sprache
German
Author(s)
Advisor
Mackens, Wolfgang
Referee
Title Granting Institution
Technische Universität Hamburg
Place of Title Granting Institution
Hamburg
Examination Date
2016-01-25
Institut
TORE-DOI
Simulating physical processes often leads to large systems of parameter dependent nonlinear equations. To reduce the computational complexity reduced basis methods are used, that can be distinguished in local and global methods. Turning points with respect to the parameter are usually not permitted when using global methods. In this work a global interpolation based approach for problems with turning points is developed and its advantages and limits are demonstrated.
Subjects
Numerische Mathematik, Reduzierte-Basis Methoden, Astverfolgungsmethoden, Interpolation, Mehrparametrige nichtlineare Gleichungssysteme
DDC Class
510: Mathematik
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