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**18**.

## 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

## 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.

**Fri Oct 21 13:12:00 2016 BST**.