Wavelets Theory and Its Applications

A First Course

Mani Mehra (Autor)

Buch | Hardcover

182 Seiten

2018 | 1st ed. 2018
Springer Verlag, Singapore
978-981-13-2594-6 (ISBN)

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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.

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.

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.

Erscheinungsdatum	19.11.2018
Reihe/Serie	Forum for Interdisciplinary Mathematics
Zusatzinfo	18 Illustrations, color; 60 Illustrations, black and white; XVII, 182 p. 78 illus., 18 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	arbitrary manifolds • finite difference methods • finite elements methods • Finite Volume Methods • fourier analysis • multiresolution analysis • Wavelet Collocation methods • Wavelet Galerkin methods • wavelet transform
ISBN-10	981-13-2594-4 / 9811325944
ISBN-13	978-981-13-2594-6 / 9789811325946
Zustand	Neuware