Adaptive Quarklet Schemes: Tree Approximation and Optimal Convergence

This thesis is concerned with so-called quarklets and their properties. In particular, we investigate near-optimal approximations of explicitly and implicitly given L_2-functions with hp tree structures based on quarklets. We develop several adaptive methods in the context of partial differential eq...

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Bibliographic Details

Main Author:	Vogel, Dorian
Contributors:	Dahlke, Stephan (Prof. Dr.) (Thesis advisor)
Format:	Doctoral Thesis
Language:	English
Published:	Philipps-Universität Marburg 2024
Subjects:	Signal Analysis Adaptive Verfahren Wavelets Mathematik Operator Equations Optimal Convergence Partielle Differentialgleichungen Quarklets Partial Differential Equations Frames Multiwavelets Numerische Mathematik Numerical Analysis hp-Methods Operatorgleichungen Adaptive Schemes Mathematics
Online Access:	PDF Full Text
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