Trends in Wavelet Applications
Abul Hasan Siddiqi, Pammy Manchanda, Khaled M. Furati, Mohammad Kalimuddin Ahmad · Lecture notes in pure and applied mathematics · 2005
The study of wavelet analysis which was formally developed in the late 1980s has progressed very rapidly. There exists a vast literature on its applications to image processing and partial difierential equations. However, Black-Scholes equation of pricing, Maxwell’s equations, variational inequalities, and complex dynamic optimization problems related to real-world phenomena are some of the areas where applications of wavelet methods have not been fully explored. Wavelet packet analysis which includes wavelet analysis as a special case has wide scope for further research from both theoretical and applied viewpoints. As we know, wavelet methods are reflnements of Fourier analysis, flnite element, and boundary element meth