The volume is based on the deliberations of three thematic minisymposia (MS369, MS425 MS483) identified by the scientific programme committee of International congress of
Industrial and applied mathematics-2011 held at Vancouver, BC, Canada during 18-22, July 2011. This congress is organized at an interval of four years by the International council of Industrial and applied mathematics( ICIAM) IN DIFFERENT PARTS OF THE  world so far seven congresses have been organized at Paris(1987), Washington DC (1991), Hamburg(1995), Edinburg (1999), Sydney(2003), Zurich(2007) and Vancouver(2011). The next congress is scheduled in Beijing, August 2015. ICIAM comprises currently representatives of 30 societies functioning in industrialized nations, India, China and Brazil. The main activities during the
congress are invited talks, thematic minisymposia, contributory minisymposia, contributory talk sessions, embedded meetings, book exhibitions and lectures on general themes.
More than three thousand delegates participated from different parts of the world especially from Europe, India, China, Japan, Australia and North America representing fairly large number of scientific disciplines. The thematic minisymposia (MS369, MS425 MS483) were devoted to the applications of wavelet and it variants namely Curvelet and Shearlets to real word systems particularly oil industry meteorology, medical imaging, finance. Relevance of wavelet methods to data mining, inverse problems and fractals was also discussed during referred symposia.

Mathematical Modeling And Methods.- Application of Wavelet Methods.-Variants of Wavelet And Their Applications.