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**19**.

## Article

Botta, V. and Meneguette, M. and Cuminato, J. A. and McKee, S.
(2012)
*On the zeros of polynomials: an extension of the Enestrom-Kakeya theorem.*
Journal of Mathematical Analysis and Applications, 385 (2).
pp. 1151-1161.
ISSN 0022-247X

Oishi, C.M. and Martins, F.P. and Tome, Murilo F. and Cuminato, Jose and Mckee, Sean
(2011)
*Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows.*
Journal of Non-Newtonian Fluid Mechanics, 166 (3-4).
pp. 165-179.
ISSN 0377-0257

Botta, V.A. and Meneguette, M. and Cuminato, Jose and Mckee, Sean
(2011)
*Theoretical results of one class of multiderivative methods through order stars.*
Progress in Applied Mathematics, 1 (1).
pp. 122-130.

Cuminato, J.A. and McKee, S.
(2010)
*A note on the eigenvalues of a special class of matrices.*
Journal of Computational and Applied Mathematics, 234 (9).
pp. 2724-2731.
ISSN 0377-0427

Ferreira, V.G. and Kurokawa, F.A. and Queiroz, R.A.B. and Kaibara, M.K. and Oishi, C.M. and Cuminato, J.A. and Castelo, A. and Tomé, M.F. and McKee, S.
(2009)
*Assessment of a high-order finite difference upwind scheme for the simulation of convection-diffusion problems.*
International Journal of Numerical Methods in Fluids, 60 (1).
pp. 1-26.
ISSN 0271-2091

Oishi, C.M. and Cuminato, J.A. and Yuan, J.Y. and McKee, S.
(2008)
*Stability of numerical schemes on staggered grids.*
Numerical Linear Algebra with Applications, 15 (10).
pp. 945-967.
ISSN 1070-5325

McKee, S. and Tome, M.F. and Ferreira, V.G. and Cuminato, J.A. and Castelo, A. and Sousa, F.S. and Mangiavacchi, N.
(2008)
*The mac method.*
Computers and Fluids, 37 (8).
pp. 907-930.
ISSN 0045-7930

Oishi, C.M. and Tome, M.F. and Cuminato, J.A. and McKee, S.
(2008)
*An implicit technique for solving 3D low Reynolds number moving free surface flows.*
Journal of Computational Physics, 227 (16).
pp. 7446-7468.
ISSN 0021-9991

Cuminato, J.A. and Fitt, A.D. and McKee, S.
(2007)
*A review of linear and nonlinear Cauchy singular integral and integro-differential equations arising in mechanics.*
Journal of Integral Equations and Applications, 19 (2).
pp. 163-207.
ISSN 0897-3962

Mangiavacchi, N. and Castelo, A. and Tomé, M.F. and Cuminato, J.A. and de Oliveira, M.L.B. and McKee, S.
(2005)
*An effective implementation of surface tension using the marker and cell method for axisymmetric and planar flows.*
SIAM Journal on Scientific Computing, 26 (4).
pp. 1340-1368.
ISSN 1064-8275

Tomé, M.F. and Grossi, L. and Castelo, A. and Cuminato, J.A. and Mangiavacchi, N. and Ferreira, V.G. and De Sousa, F.S. and McKee, S.
(2004)
*A numerical method for solving three-dimensional generalised Newtonian free surface flows.*
Journal of Non-Newtonian Fluid Mechanics, 123 (2-3).
pp. 85-103.

De Sousa, F.S. and Mangiavacchi, N. and Nonato, L.G. and Castelo, A. and Tomé, M.F. and Ferreira, V.G. and Cuminato, J.A. and McKee, S.
(2004)
*A front-tracking method for the simulating of 3D multi-fluid flows with free surfaces.*
Journal of Computational Physics, 198 (2).
pp. 469-499.
ISSN 0021-9991

Ferreira, V.G. and Mangiavacchi, N. and Tomé, M.F. and Castelo, A. and Cuminato, J.A. and McKee, S.
(2004)
*Numerical simulation of turbulent free surface flow with two-equation k-e eddy-viscosity models.*
International Journal for Numerical Methods in Fluids, 44 (4).
pp. 347-375.
ISSN 0271-2091

McKee, S. and Tomé, M.F. and Cuminato, J.A. and Castelo, A. and Ferreira, V.G.
(2004)
*Recent advances in the marker and cell method.*
Archives of Computational Methods in Engineering, 11 (2).
pp. 107-142.
ISSN 1134-3060

McKee, S. and Castelo, A.C. and Fortuna, A.O. and Cuminato, J.A. and Tomé, M.F. and Mangiavacchi, N. and Ferreira, V.G.
(2002)
*High-order upwinding and the hydraulic jump.*
International Journal of Numerical Methods in Fluids, 39 (7).
pp. 549-583.
ISSN 0271-2091

McKee, S. and Castelo, A. and Cuminato, J.A. and Tomé, M.F. and Mangiavacchi, N.
(2002)
*A finite difference technique for simulating unsteady viscoelastic free surface flows.*
Journal of Non-Newtonian Fluid Mechanics, 106 (2-3).
pp. 61-106.
ISSN 0377-0257

Tomé, M.F. and Filho, A.C. and Cuminato, J.A. and Mangiavacchi, N. and McKee, S.
(2001)
*GENSMAC 3D: A numerical method for solving unsteady three-dimensional free surface flows.*
International Journal of Numerical Methods in Fluids, 37 (7).
pp. 747-796.
ISSN 0271-2091

Filho, Antonio Castelo and Mangiavacchi, Norberto and Tomé, Murilo F. and Cuminato, José A. and Fortuna, Armando O. and de Oliveira, Juliana and Ferreira, Valdemir G. and McKee, S.
(2001)
*Surface tension implementation for Gensmac 2D.*
Journal of the Brazilian Society of Mechanical Sciences, 23 (4).
pp. 523-532.
ISSN 0100-7386

## Other

Tomé, M.F. and Filho, A.C. and Cuminato, J.A. and McKee, S.
(2001)
*GENSMAC 3D: Implementation of the Navier-Stokes equations and boundary conditions for 3D free surface flows.*
University of San Paolo, Brazil.

**Wed Oct 18 12:26:53 2017 BST**.