1.

Record Nr.

UNINA9910300110203321

Autore

Mehra Mani

Titolo

Wavelets Theory and Its Applications : A First Course / / by Mani Mehra

Pubbl/distr/stampa

Singapore : , : Springer Singapore : , : Imprint : Springer, , 2018

ISBN

981-13-2595-2

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (XVII, 182 p. 78 illus., 18 illus. in color.)

Collana

Forum for Interdisciplinary Mathematics, , 2364-6748

Disciplina

515.2433

Soggetti

Numerical analysis

Harmonic analysis

Applied mathematics

Engineering mathematics

Numerical Analysis

Abstract Harmonic Analysis

Applications of Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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. .