(30 minutes) in Varahmihir Memorial National Conference on*H*^{1}-Galerkin methods for a highly nonlinear Dirichlet problem using subspaces without boundary conditions,*Functional Analysis and its Applications***45 minutes invited talk on**in the Indian Science Congress held in Baroda (3-8 January'92).*Semigroup theoretic approach to partial differential equations*in the 4th Annual Conference of ISIAM, held in Jamia Milia, New Delhi (6-8**Industry and IIT Linkage: Mathematical Perspectives -(1 hour)**^{th}April'96).(30minutes) in the National Conference on*Enhanced Oil Recovery in Reservoir Study: Some Computational Issues***Numerical Schemes and Qualitative Properties of Solutions of Differential Equations and Wavelet Analysis**in the Silver Jublee Conference of Orissa Mathematical Society (Jan. 23-25'98), held in Utkal University, Bhubaneswar., Brazil (June 4-5, 1998).*Enhanced Oil Recovery in Reservoir Study: Some Computational Issues*- (one hour invited lecture) in the Workshop on the Partial differential Equations, held in the State University of Maringa**One hour Invited Bama Charan Das Memorial talk on**(in the National Conference on `Recent Trends in Mathematics & Computing' and 27th Annual Conference of Orissa Mathematical Society (March 11-12th '2000), held in Utkal University,Bhubaneswar.*Industrial Mathematics : Key to Key Technologies and its Impact on Research and Education in Mathematics***Key Note Address on Role of Mathematics in Engineering and Technology in the 30th Orissa Mathematical Society and National Conference on**(Orissa) during 22nd to 23rd February'03.*Role of Mathematics in Engineering and Technology*- Professor Rama Nath Mohanty Memorial Lecture entitled
**`Navier-Stokes Equations: A Million Dollar Open Problem'**in the 30th Orissa Mathematical Society and National Conference on*Role of Mathematics in Engineering and Technology*(Orissa) during 22nd to 23rd February' 03. **Resource Person fro the UNESCO Sponsored Workshop on Industrial Mathematics,**department of Applied Mathematics, MS University, Baroda during 1-7, Dec.'03.**Professor Sankar Prasad Mishra Memorial Lecture on**in the 31st OMS Conference held in the Institute of physics, Bhubaneswar during 7th to 8th February'04.*How to Compute a Fair Price for an Option derivative in Financial Market: A Case Study and Its Mathematical Implications***One hour talk on**in the UGC sponsored conferences on 'Surprises in mathematics and Their Applications' held in Vivekanand College, chembur during January 17, 2005.*Industrial mathematics: Key to Key Technologies***One hour talk on**in the National Symposium on Scientific Computing with Application to partial Differential Equations during November 19-21, 2005.*Discontinuous Galerkin Methods for Elliptic PDE's***One hour talk on Navier Stokes Equations: a Million Dollar Open Problem, and two hour talk on**held in Veer Narmad South Gujarat University, Surat during January 23-25, 2006.*How to Compute a Fair Price in an American Option:A case Study in the National seminar on Partial Differential Equations and Scientific Computing*