Numbers! Numbers! We are all overwhelmed by numbers. We have to remember phone numbers, SSN, PIN, password, bank account numbers, etc. I usually tell people that I am bad in memorizing numbers (I thought that my Math. background would help). In fact, there are two things I am sure I can remember most of the time: my name and my home phone number only. Do not ask me more than that.
KNJR, 1996.

• High-Order Multigrid Techniques for Partial Differential Equations , Ph.D. Dissertation, Department of Mathematics, The George Washington University, January 1998.
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• Full document (ps file, 156 pages)

Electrical Engineering

1. J. Kouatchou, Reseau intelligent et signalisation dans le RNIS large bande, Memoire d'ingenieur, Departement Reseaux, Ecole Nationale Superieure des Telecommunications, France 1993.
2. B. Liau, J. L. Lutton and J. Kouatchou, Pricing a network service in a competitive environment, Fundamental Role of Teletraffic in the Evolution of Telecommunications Networks, edited by J. Labetoulle and J. W. Roberts, Teletraffic Science and Engineering, Vols. 1A and 1B, p. 1195-1206, 1994.
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Numerical Analysis

1. M.M. Gupta, J. Kouatchou and J. Zhang, A compact multigrid solver for convection-diffusion equations , J. Comp. Phys., 132, p. 123-129 (1997).
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2. M.M. Gupta, J. Zhang and J. Kouatchou, Comparison of second and fourth order discretizations for multigrid Poisson solvers , J. Comp. Phys., 132, p. 226-232 (1997).
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3. J. Kouatchou, Asymptotic stability of a 9-point multigrid algorithm for the convection-diffusion equations, Electronic Transaction in Numerical Analysis, 6, p. 153-161, Dec. 1997 (and also presented at the 8th Copper Mountain Conference on Multigrid Methods, April 6-11, 1997).
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4. J. Kouatchou, A dynamic injection operator in a multigrid solution of the convection-diffusion equation, Int. J. Num. Meth. in Fluids, 26, p. 1205-1216 (1998).
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5. J. Kouatchou, Multigrid solution of 3D convection-diffusion equations: stability analysis of a high-order scheme, Preprint, The Fourth International Congress on Industrial and Applied Mathematics, p. 198, Edinburgh, Scotland, July 5-9, 1999.
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6. J. Kouatchou and J. Zhang, Optimal injection operator in multigrid solution of the three dimensional Poisson equation , International Journal of Computer Mathematics, Vol. 76, p. 173-190 (2000).
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7. J. Kouatchou, Finite differences and collocation methods for the two dimensional heat equation, Numerical Methods for PDEs, 17, p. 54-63 (2001).
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8. J. Zhang, L. Ge and J. Kouatchou, A two colorable fourth order compact difference scheme and parallel iterative solution of the 3D convection diffusion equation, Mathematics and Computers in Simulation, Vol. 54 (1-3), p. 67-83 (2000).
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9. J. Kouatchou, Parallel implementation of a high-order implicit collocation method for the heat equation, Mathematics and Computers in Simulation, Vol. 54, no. 6, p. 509-519 (2001).
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10. Jun Zhang, Jules Kouatchou and Lixin Ge, A family of fourth order difference schemes on rotated grid for two dimensional convection-diffusion equations, Mathematics and Computers in Simulations, Vol. 59, p. 413-429 (2002).
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11. Jun Zhang, Jules Kouatchou and Mohamed Othman, On cyclic reduction and finite difference schemes, Journal of Computational and Applied Mathematics, Vol. 145, No. 1, p. 213-222 (2002).
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12. Jules Kouatchou, Comparison of time and spatial collocation methods for the heat equation, Journal of Computational and Applied Mathematics, Vol. 150, No. 1, p. 129-141 (2003).
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13. J. Kouatchou, Efficiency of high-order scheme and scaled injection in multigrid methods , unpublished result.
14. M.M. Gupta, J. Zhang and J. Kouatchou, High-order multigrid method for solving convection-diffusion equations with variable coefficients , unpublished result.
15. J. Kouatchou and J. Zhang, Comments on ``Analysis of A Fourth-Order Compact Scheme for Convection-Diffusion'', unpublished result.

Symbolic Computations

1. M.M. Gupta and J. Kouatchou, Symbolic derivation of finite difference approximations for three dimensional Poisson equation , Int. J. Numerical Methods for Partial Differential Equations, Vol. 14, no. 5, p. 593-606 (1998).
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Atmospheric Science

1. M. Halem, J. Kouatchou and A. Hudson, A Retrospective Analysis of the Pioneering Data Assimilation Experiments With the Mintz-Arakawa General Circulation Model, General Circulation Model Development: Past, Present, and Future, International Geophysics Series, Volume 70, edited by David Randall, Chapter 5, p. 165-179, Academics Press, 2000.
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2. M. Halem and J. Kouatchou, Simulation experiments related to EOS, unpublished results.
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3. M. Rancic, J. Geiger, J. Kouatchou, and F. Mesinger, A belt version of the Eta model: preliminary results , Preprint, The 13th Conference on Numerical Weather Prediction, Denver, Colorado, September 13-17, 1999.
4. M. Rancic, J. Geiger, J. Kouatchou and P. Norris, A global belt model with the movable locally enhanced resolution: shallow water tests, Preprint, A Joint Workshop on Regional Climate Modeling and Data Assimilation, Montreal, Quebec, Canada, June 14-16, 2000.
5. M. Halem, J. Kouatchou, M. Rancic, P. Norris and J. Geiger, Cloud field data simulation experiments related to Triana, Preprint, The 2000 International Radiation Symposium, Saint-Petersburg, Russia, July 24-29, 2000.
6. M. Halem, J. Kouatchou, P. Norris, M. Rancic, and Jim Geiger, Cloud field assimilation using simulated Triana satellite data, Adv. Space Res., Vol. 30, No. 11, p. 2447-2454 (2002).

Computer Benchmarking

1. J. Kouatchou and A. Hudson, Implementing CCM3 with NASA Goddard Space Flight Center Parallel Computer Systems, online publication, 1997.
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2. J. Kouatchou, Performance of ScaLAPACK routines on the CRAY T3E, online publication, 1997.
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3. J. Dorband, J. Kouatchou, J. Michalakes and U. Ranawake, Implementing MM5 on NASA Goddard Space Flight Center computing systems: a performance study, Proceedings of The 7th Symposium on the Frontiers of Massively Parallel Computation (Frontiers'99), p. 200-207, Annapolis, Maryland, February 21-25, 1999.
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   • Electronic version ( Implementing a performance study of computing systems with MM5) published at NASA Science Information Systems Newsletter, Issue 53.
4. J. Kouatchou, Scaling performance of MM5 on the Cray T3E and a beowulf-like system, Proceedings of The 1999 International Conference on Parallel and Distributed Processing Techniques and Applications, Vol. VI, p. 2947-2953, Las Vegas, Nevada, June 28-July 1, 1999.
5. J. Kouatchou and C. Kammogne, Running MM5 on NASA Goddard Space Flight Center Computing Systems, online publication, 1998.
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6. J. Kouatchou, M. Rancic and J. Geiger, Performance of an optimized Eta model code on the Cray T3E and a network of PCs, HPCC/CAS 2000 Workshop, NASA Ames Research Center, February 15-17, 2000.
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7. J. Kouatchou, M. Rancic, P. Norris and J. Geiger, Implementation of an Eta belt domain on parallel systems, Proceedings of the 2001 International Parallel and Distributed Processing Symposium, Workshop on Parallel and Distributed Scientific and Engineering Computing with Applications, IEEE, San Francisco, CA, April 23-27, 2001.
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