Numerical Methods
My interest in numerical methods spans ordinary differential equations (with
special emphasis on two point and multi-point boundary value problems,
partial differential equations with emphsis on finite difference and
finite element methods and Fredholm integral equations of the first kind with
applicationsd to remote sensing.
My Experience with Differential Equations
The following publications indicate what I am interested in
- 13. Vemuri, V. and G. S. Jang, "Inversion of Fredholm integral
equations of the first kind with fully connected neural networks,"
J. of Franklin Institute. 329(2): 241-257, 1992
- 12. Vemuri, V. and G. S Jang, "Inversion of Fredholm Integral Equations of
the first kind with fully connected Neural Networks,"
Proc. SPIE Conference, Orlando, FL. 1-5 April 1991.
- 11.Vemuri, V. and W. J. Karplus. Digital Computer Treatment of Partial
Differential Equations. Prentice-Hall, 1982.
- 10. Vemuri, V. and A. Raefsky. On a New Approach to Parameter Estimation by
the Method of Sensitivity Functions. International Journal of System Science
10:395-407, 1979.
- 9. Vemuri, V. and A. Raefsky. Solution of Sensitive Two-Point Boundary
Value Problems. Journal of the Franklin Institute 307:217-243, 1979.
- 8. Vemuri, V. and A. Raefsky. A Numerical Method for Boundary Value
Problems. International Journal of Computers and Electrical Engineering
5:85-104, 1978.
- 7. Vemuri, V. A New Algorithm Suitable for PDE Software, 159-164. IN
Advances in Computer Methods for Partial Differential Equations-II, R.
Vichnevetsky (editor), IMACS (AICA), Department of Computer Science, Rutgers
University, New Brunswick, NJ, 1977.
- 6. Vemuri, V. Biharmonic Equations-Solution Methods.
IN Encyclopedia of Computer Science and Technology 3:274-298, 1976.
- 5. Vemuri, V. An Analog Computer Method for Solving Fredholm Integral
Equations of the First Kind. International Journal of Computers and Electrical
Engineering 2:95-103, 1975.
- 4. Vemuri, V. and P. Tapia. On Solving Fredholm Integral Equations of the
First Kind Using the Interval Programming Algorithm of Robers. International
Journal of Computers and Electrical Engineering 3:409-419, 1975.
- 3. Vemuri, V. and F.P. Chen. An Initial Value Method for Solving Fredholm
Integral Equations of the First Kind. Journal of Franklin Institute 297:187-200,
1974.
- 2. Vemuri, V. An Initial Value Formulation for the CSDT Method of Solving
Partial Differential Equations. Proceedings Spring Joint Computer Conference, p.
403-407, 1970.
- 1. Karplus, W. J. and V. Vemuri. Numerical Solution of Partial Differential
Equations, Chapter 2, p. 163-202. IN Digital Computers User's Handbook,
Klerer and Korn (editors), McGraw-Hill. 1969.
vemuri1@llnl.gov
Thursday the 15th, August 1996