Overview
- Covers different areas including filtering, signal analysis for damage detection, time series analysis, solution to boundary value problems and fractional calculus
- Presenations by researchers who actually use the the tools, sharing their knowledge and experience
- Self-contained chapters, offering a brief theoretical introduction to the mathematical tools employed afterwards
Part of the book series: SEMA SIMAI Springer Series (SEMA SIMAI, volume 4)
Part of the book sub series: ICIAM 2019 SEMA SIMAI Springer Series (ICIAM2019SSSS)
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About this book
This work results from a selection of the contributions presented in the mini symposium “Applications of Multiresolution Analysis with “Wavelets”, presented at the ICIAM 19, the International Congress on Industrial and Applied Mathematics held at Valencia, Spain, in July 2019. The presented developments and applications cover different areas, including filtering, signal analysis for damage detection, time series analysis, solutions to boundary value problems and fractional calculus. This bunch of examples highlights the importance of multiresolution analysis to face problems in several and varied disciplines. The book is addressed to researchers in the field.
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Keywords
Table of contents (5 papers)
Editors and Affiliations
About the editors
María Inés Troparevsky graduated from the University of Buenos Aires where she also obtained her PhD. in Mathematics. Currently, she is a Professor at the Faculty of Engineering, University of Buenos Aires. She is the director of the research group Inverse problems and Applications at the Faculty of Engineering where theoretical analysis and development of numerical algorithms to solve inverse problems are studied. She is the author of several scientific publications. Her interests cover inverse problems, fractional calculus, and its applications.
Silvia Seminara is a Professor of Mathematical Analysis at the Faculty of Engineering, University of Buenos Aires. She obtained a Master's degree in Mathematical Engineering at the University of Buenos Aires. She is the author of several scientific publications in areas of applied mathematics and mathematical education.
Juan Pablo Muszkats has obtained a Master's degree in Mathematical Engineering, University of Buenos Aires. He presently works in the UNNOBA and Buenos Aires universities, where he is Professor of Mathematical Analysis and Mathematical Modelling, respectively. He is an active member of the Non-Stationary and Non-Linear Time Series Analysis Group, where wavelet multiresolution analysis is applied to several phenomena.
Bibliographic Information
Book Title: Applications of Wavelet Multiresolution Analysis
Editors: Juan Pablo Muszkats, Silvia Alejandra Seminara, María Inés Troparevsky
Series Title: SEMA SIMAI Springer Series
DOI: https://doi.org/10.1007/978-3-030-61713-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-61712-7Published: 11 March 2021
Softcover ISBN: 978-3-030-61715-8Published: 11 March 2022
eBook ISBN: 978-3-030-61713-4Published: 10 March 2021
Series ISSN: 2199-3041
Series E-ISSN: 2199-305X
Edition Number: 1
Number of Pages: XII, 88
Number of Illustrations: 10 b/w illustrations, 36 illustrations in colour
Topics: Applications of Mathematics, Mathematical and Computational Engineering, Integral Transforms, Operational Calculus, Analysis, Signal, Image and Speech Processing