Wavelets Theory and Its Applications

A First Course

AvMani Mehra

Inbunden, Engelska, 2018

Del i serien Forum for Interdisciplinary Mathematics

442 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

E-bok

870 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:2018-11-13
Mått:155 x 235 x 15 mm
Vikt:444 g
Format:Inbunden
Språk:Engelska
Serie:Forum for Interdisciplinary Mathematics
Antal sidor:182
Förlag:Springer Verlag, Singapore
ISBN:9789811325946

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

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.

Innehållsförteckning

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.