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.