Wavelets Theory and Its Applications

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.