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...