**Invited
Colloqua and Seminars: (only few special talks) **

** **

Center for Mathematical Analysis, ANU, Canberra (23rd May, 1988).*Finite element Galerkin approximations to a quasilinear parabolic free boundary problems,*University of Queensland, Brisbane (10th June, 1988).*Finite element methods for nonlinear free boundary problems, Department of Mathematics,*Department of Mathematics, University of New South Wales, Sydney (14th June, 1988).*Finite element approximation to nonlinear Stefan problem & 14th open problem,*Department of Mathematics, University of Queensland, Brisbane (23rd January, 1991).*On the existence of a weak solution to an evolution equation by method of time discretization,*CMA Advanced Seminar on*On convergence of finite difference schemes for generalized solutions of parabolic partial differential equations,***Computational Mathematics**, Center for Mathematics and Its Applications, ANU, Canberra (April, 1991).Center for Mathematics and Its Applications, ANU, Canberra (May, 1991).*On Rothe's method in evolution equations, CMA Colloquium,*Department of Mathematics, City Polytechnique of HongKong (1st June, 1992)*Finite element methods for partial integro-differential equations of parabolic type,*CMA Advanced Seminar on*Numerical methods for parabolic integro-differential equations,***Computational Mathematics**, Center for Mathematics and Its Applications, ANU, Canberra (July, 1992).Department of Mathematics, University of New South Wales, Sydney (July, 1992).*On convergence of finite difference schemes for generalized solutions of partial differential equations,*Department of Mathematics, University of Western Australia, Perth (July, 1992).*Finite element Galerkin approximations to parabolic integro-differential equations,*Global Analysis Research Center, Seoul National University, Seoul (November, 1993).*Finite element methods for partial integro-differential equations,*Global Analysis Research Center, Seoul National University, Seoul (November, 1993).*Discrete elliptic projection and generalized finite difference approximation for parabolic partial differential equations,*Department of Mathematics, KAIST, Taejon (November, 1993).*On Galerkin Finite Element Approximations to Parabolic Integro-Differential Equations,*Pohang Institute of Science & Technology, Pohang (December, 1993).*Finite Element Galerkin Method for Integro-Differential equations of parabolic type,*in Seoul (December, 1993) and gave a talk on*Invited to address the Korean Numerical Analysis Group***Numerical Methods for Integro-Differential Equations**Oxford Univ.,UK (14th November, 1995).*Numerical Methods for PIDE. Oxford Computing Lab,*Univ. Bath, UK (17th Novenber, 1995).*Discrete in time methods for PIDE,*Univ. Sussex, UK ( 22nd November, 1995).*Numerical Methods for Rosenau Equation,*Imperial College, London (24th November, 1995).*Finite Element Methods for Partial Integro-Differential Equations,*Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden (2nd October, 1998).*Oldroyd Model of Viscoelastic Fluids: Some Computational Issues,*Center for Computational Mathematics, Department of Applied Mathematics, University of Colorado, (December, 1998).*An Alternate Mixed Finite Element Method for Parabolic Partial Differential Equations,*Department of Mathematics (14th June, 2000), Yonsei University, Seoul (South Korea).*An Alternate Mixed Method for Some Evolution Equations,*Department of Mathematics (19th June, 2000), Korean Advanced Institute of Science and Technology, Taejon (South Korea).*An H*^{1}Mixed Method for Parabolic Problems,(June 23rd, 2000), Department of Mathematical Education, Seoul National University, Seoul (South Korea).*A Posteriori Estimate: A Step Towards Adaptive Method,*Department of Mathematics , IIT Delhi (19th January, 2001).*An Alternate Mixed Finite Element Method for Parabolic Equations,*BICOM, Department of Mathematics, Brunel University (U. K.).*An Alternate Mixed Finite Element Galerkin Methods for Evolution Equations (July, 2001),*Department of Mathematics, IIT Kanpur.*The Mathematical Sciences at IITB : The Road Ahead, (December 18th, 2001),*Department of Mathematics , Texas Tech Univ., Lubbock (USA) (1st July, 2002).*An alternate mixed finite element method for some evolution equations,*Department of Mathematics, Ratnan College (Bhandup) (August, 2002).*Industrial Mathematics: A new Avtar,*Department of Mathematics, IIT Madras (September, 2002).*Mixed Finite Element Methods for the Evolution Equations,*School of Mathematics, Anna University, Chennai (September, 2002).*Navier-Stokes Equations: A millennium Open Problem,*University of Pune, Pune (October, 2002).*Millennium Open Problem,*Department of Mathematics, IIT Madras (September, 2002).*The Mathematical Sciences at IITB: The Road Ahead,*BJB College, Bhubaneswar (Orissa) (February 28th, 2003).*Industrial Mathematics: Key to Key Industries,*in the Department of Mathematics at Ravenshaw College, Cuttack( 9th February, 2004).*Financial Mathematics and Its Prospects,*Humboldt University, Berlin (December, 2005).*A New Mixed Finite Element Method for Evolution Problems: An Old Wine in a New Bottle,*in the Graduate Seminar held in Humboldt University, Berlin, June 2007.*Discontinuous Galerkin methods : An Old Wine in a New Bottle,**Finite element approximation of the equations of motion arising in the Oldroyd model, Colloquium talk, Berlin, June 2007.*- Two hour talk on
Institute of Mathematics and its Applications, Bhubaneswar, February 2008.*How to compute fair price in an American option: A case study from finance* - One hour talk on
in IIT Kharagpur, March 2008, in IIT Madras 2009, IIT Delhi 2010,in IIT Guwahati 2010.*`Navier-Stokes Equation : A million dollar open problem,*