MACS » Dr. Santosh George

 

 

 

 

 

Department of Mathematical and Computational Sciences
National Institute of Technology Karnataka
Surathkal - 575025
Mangalore
India
Email : sgeorge@nitk.ac.in

 

 

Mobile No:9731161426

Phone:

 Office:-0824 24743263

 Resi    :-0824 2474263


Welcome !

 

I am an Associate Professor in the Department of Mathematical and Computational Sciences , National Institute of Technology Karnataka , Surathkal, India.

Teaching :

MA 100 - Engineering Mathematical 1 : Course Plan       Announcement : Question Papers : Mid-Semester,   Test

Academic Background :

1. M.Sc. (1989)
2. B.Ed. (1991)
3. Ph.D. (1995)
4. NET(JRF)(1989) &(1990)

Research Interests :

Broad Area : Functional Analysis and Operator Theory
Specialization :Ill-Posed  Operator Equations

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PUBLICATIONS/ communicated

In International Journals:

 

20.  S .GEORGE and A.I.ELMAHDY (2010) An Iteratively regularized projection method  with quadratic convergence for  nonlinear ill-posed problems (communicated)

19. S.GEORGE and A.I.ELMAHDY (2010) An Iteratively regularized projection method for nonlinear ill-posed problems (communicated)

18.  S.GEORGE and A.I.ELMAHDY (2010), An analysis of Lavrentiev regularization for nonlinear ill-posed problems using a majorizing Sequence (communicated) 

17. S.GEORGE and A.I.ELMAHDY (2010), A quadratic convergence yielding Iterative method for nonlinear ill-posed operator equations (communicated)

16.  S.GEORGE(2009), Iterative Learning control for  ill-conditioned systems (communicated)

15. S.GEORGE and M. KUNHANANDAN(2010), Iterative regularization methods for ill-posed Hammerstein type operator equation with monotone nonlinear part ,  Int.Journal of Math.Analysis , Vol 4, 2010, no.34, pp 1673-1685.

14. S.GEORGE and A.I.ELMAHDY (2010), An analysis of Lavrentiev regularization for nonlinear ill-posed problems using an iterative regularization method, Int.J.Comput.Appl.Math  Vol 5, 3(2010),   pp.  369-381. 

13. S.GEORGE (2010), Monotone Error Rule for Tikhonov Regularization in Hilbert Scales, J.Analysis, Vol 16 (2008), 1-9.

 

12.S.GEORGE , On convergence of regularized modified Newton's method  for nonlinear ill-posed problems, J.Inv.Ill-Pose Problems,18(2010),133-146.

11. S.GEORGE and M. KUNHANANDAN, An iterative Regularization Method for Ill-posed Hammerstein Type Operator Equations  J.Inv.Ill-Posed Problems 17 (2009), 831-844

 10. S.,GEORGE and M.T.NAIR, A Modified Newton-Lavrentiev Regularization for Non-Linear ill-posed Hmmerstein operator equations,      Journal of  complexity, 24(2008), PP. 228-240 .

 9. S.GEORGE, Newton-Lavrentiev regularization of ill-posed Hammerstein type operator equation, J.Inv.Ill-Posed Problems, (2006)14, No.6,392-399.

 8. S.GEORGE, Newton-Tikhonov regularization of ill-posed Hammerstein operator equation,   J.Inv.Ill-Posed Problems, (2006)14, No.2, 135-145.

 7.  S.GEORGE and M.T.NAIR, An Optimal Order Yielding Discrepancy Principle For Simplified Regularization Of Ill-posed Problems   In Hilbert Scales: Finite Dimensional Realizations, International Journal of Mathematics and Mathematical Sciences;37(2004) 1973-1996.

 6.  S.GEORGE and M.T.NAIR, An Optimal Order Yielding Discrepancy Principle For Simplified Regularization Of Ill-posed Problems  In Hilbert Scales, International Journal of Mathematics and Mathematical Sciences; 39(2003) 2487-2499.

 5.  S.GEORGE and M.T.NAIR, On a Generalized Arcangelis Method for tikhonov Regularization with inexact data  J.Numer.Funct.Anl.\& Optimiz. 19 (7\&8)   pp.773- 787(1998).

 4. S.GEORGE and M.T.NAIR, Error bounds and parameter choice strategies for simplified regularization in Hilbert scales,  Integr.Equat.Oper.Th; 29(1997)   pp.231-242.

  3.  S.GEORGE and M.T.NAIR, Parameter Choice by Discrepancy Principals for ill-posed Problems leading to optimal convergence rates,  J.Optim.Th.and App.Vol.83.       No.1   October 1994.

  2.  S.GEORGE and M.T.NAIR, A Class of Discrepancy Principals for the Simplified Regularizatio  J.Austral. Math. Soc.Ser.B. 36(1994) 242-248.

 

  1. S.GEORGE and M.T.NAIR, An Apostoriori Parameter Choice for Simplified Regularization of ill-posed problems,   Integr.Equat.Oper.Th; 16(1993) 392-399.

 

(b) National Journals

1. S.GEORGE(2009), Inverse Theory of finite Schrodinger matrices, NITK Research Bulletin, V.18, No.1.

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CONFERENCE PAPERS

7. Atef Ibrahim and Santhosh George, An iterative method for nonlinear ill-posed operator equations, International conference on Number theory,

    PDE and Geometry, held at University of Calicut during August 24-26, 2009.

6. Santhosh George, An iterative Regularization Method for Ill-posed Hammerstein Type Operator Equation, International  Conference

    on Functional Analysis and its Applications, held at  Scott Christian College, Nagarcoil  during  November 28-December 1,2007.

 5. Santhosh George, An Optimal Order Yielding Discrepancy Principle for Tikhonov Regularization in Hilbert Scales,

      International conference on Topics in Functional and Numerical Analysis, held at IIT Bombay during December 7-9, 2005.

 4. Santhosh George and M.Krishna, A note on Gesztesy-Simon Conjecture on Schrodinger matrices, Joint India-AMS Mathematical

     Meeting held during 17-20th December2003 at J.N.Tata Auditorium, IISc, Bangalore.

 3. Santhosh George, Simplified regularization in Finite-Dimensional Subspace of Hilbert Scales, International

      Conference on Recent Developments in Mathematical Analysis with Applications to Industrial problems held at Banaras Hindu

       University, Varanasi from 2nd to 5th March 1998 (Progress of Mathematics; Vol.32(No.1) 1998 pp.61).

 2. Santhosh George and M.T.Nair, Simplified regularization in Hilbert Scales; One-day Symposium on

    Mathematical methods and Applications held at the Indian Institute of Technology, Madras on 22nd December 1996.

1. Santhosh George, Parameter Choice by Discrepancy Principal for a class of regularization methods leading to Optimal

   Convergence rates, International Conference on Vistas in Modern Applied Mathematics held in Goa University, Goa from 13th to

   16th December 1993.

 

 

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 Important Conferences Attended

 

1. Mathematics Section of ISCA (Indian Science Congress Association) held at Goa from January 3- January 8, 1993.

 2.International Conference on Spectral and Inverse Spectral Problems for Schrodinger Operators held at Goa International

   Centre from December 14-December 20, 2000.

 

 

 

 

 

 

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