Publications

"Finite Element Approximations to the System of Shallow Water Equations, Part III: On the Treatment of Boundary Conditions," (with C. N. Dawson), SIAM Journal of Numerical Analysis, 38(2000), No. 1, pp. 149-159.
(Compressed Postscript Document)

"A Characteristic-Galerkin Approximations to the System of Shallow Water Equations" (with C. N. Dawson), Numerische Mathematik, 86(2000), No. 2, pp. 239-256.
(Compressed Postscript Document)

"Finite Element Approximations to the System of Shallow Water Equations, Part II: Discrete Time A-Priori Error Estimates," (with S. Chippada, C. N. Dawson, and M. F. Wheeler), SIAM Journal of Numerical Analysis, 36(1999), No. 1, pp. 226--250.
(Compressed Postscript Document)

"Finite Element Approximations to the System of Shallow Water Equations, Part I: Continuous Time A-Priori Error Estimates," (with S. Chippada, C. N. Dawson, and M. F. Wheeler), SIAM Journal of Numerical Analysis, 35(1998), No. 2, pp. 692--711.
(Compressed Postscript Document)

"A Projection Method for Constructing a Mass Conservative Velocity Field," (with S. Chippada, C. N. Dawson, and M. F. Wheeler), Computer Methods in Applied Mechanics and Engineering, 157(1998), pp. 1--10.
(Compressed Postscript Document)

"A Godunov-type Finite Volume Method for the System of Shallow Water Equations," (with S. Chippada, C. N. Dawson, and M. F. Wheeler), Computer Methods in Applied Mechanics and Engineering, 151(1998), pp. 105--129.
(Compressed Postscript Document)

"A Priori Error Estimates for Systems of Shallow Water Equations," Ph.D. Thesis. Rice University, Department of Computational and Applied Mathematics - MS 134, Houston, TX 77005-1892, 1998.

"Direct Search Methods for the Molecular Conformation Problem," (with J. C. Meza), Journal of Computational Chemistry , 15(1994), No. 6, pp. 627-632.

Articles

"Computational and Applied Mathematics: Designing a Super Cow," M. L. Martínez-Canales, SACNAS NEWS, 3(1999), No. 3, pp. 22-24.

"Surface Flow Modeling of Bays, Estuaries, and Coastal Oceans," (with S. Chippada, C. N Dawson, H. C. Edwards, and M. F. Wheeler), Center for Research on Parallel Computation, 4(1996), No 3.

"Parallel computing for Finite Element Models of Surface Water Flow," (with S. Chippada, C. N. Dawson, and M. F. Wheeler), in Computational Methods in Surface Flow and Transport Problems , A.A. Aldama, J. Aparicio, C.A. Brebbia, W. G. Gray, I. Herrera, and G. F. Pinder, editors, Vol. 2 of Computational Methods in Water Resources XI, pp. 63-70, 1996.