Wavelets Theory and Its Applications

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Beschreibung

This book provides comprehensive information on the conceptual basis of wavelet theory and it applications. Maintaining an essential balance between mathematical rigour and the practical applications of wavelet theory, the book is closely linked to the wavelet MATLAB toolbox, which is accompanied, wherever applicable, by relevant MATLAB codes. The book is divided into four parts, the first of which is devoted to the mathematical foundations. The second part offers a basic introduction to wavelets. The third part discusses wavelet-based numerical methods for differential equations, while the last part highlights applications of wavelets in other fields. The book is ideally suited as a text for undergraduate and graduate students of mathematics and engineering.

Über den Autor

MANI MEHRA is an associate professor at the Department of Mathematics, Indian Institute of Technology Delhi, India. She received her PhD in Applied Mathematics on "Wavelet-based fast time accurate schemes and preconditioners for partial differential equations" from the Indian Institute of Technology Kanpur, India, in April 2005 and her MSc in Applied Mathematics from the Indian Institute of Technology Roorkee, India, in July 2000. She is on the editorial board of the Journal of Wavelet Theory and Applications and the International Journal of BioSciences and Technology. Her research interests include wavelet methods for partial differential equations, numerical methods and inverse problems.

Zusammenfassung

Discusses about the fundamentals of wavelet theory and its applications

Maintains a balance between mathematical rigour and practical applications of wavelet theory

Uses the remarks and graphical representations to explain mathematical ideas in a conversational way

Applies MATLAB codes to solve numerical examples

Inhaltsverzeichnis

Chapter 1. Preliminaries.- Chapter 2. Fourier analysis.- Chapter 3. Wavelets on flat geometries.- Chapter 4. Wavelets on arbitrary manifolds.- Chapter 5. Wavelet transform.- Chapter 6. Introduction to numerical methods.- Chapter 7. Wavelet Galerkin methods.- Chapter 8. Wavelet Collocation methods.- Chapter 9. Wavelet optimized numerical methods.- Chapter 10. Other Wavelet based numerical methods.- Chapter 11. Applications of Wavelet in inverse problems.- Chapter 12. Other useful applications of wavelet.

Details

Erscheinungsjahr:	2018
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xvii 182 S. 60 s/w Illustr. 18 farbige Illustr. 182 p. 78 illus. 18 illus. in color.
ISBN-13:	9789811325946
ISBN-10:	9811325944
Sprache:	Englisch
Einband:	Gebunden
Autor:	Mehra, Mani
Auflage:	1st edition 2018
Hersteller:	Springer Singapore Springer Nature Singapore
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 17 mm
Von/Mit:	Mani Mehra
Erscheinungsdatum:	13.11.2018
Gewicht:	0,471 kg

Artikel-ID: 114175637