JOURNAL PUBLICATIONS

Virus propagation with randomness, with B. Chen-Charpentier, Mathematical and Computer Modeling, accepted.

Biofilm growth on medical implants with randomness, with B. Chen-Charpentier, Mathematical and Computer Modeling, Vol. 54, 2011, pp. 1682-1686.

Epidemic Models with Random Coefficients, with B. Chen-Charpentier, Mathematical and Computer Modeling, Vol. 52, 2010, pp. 1004-1010.

High-Order W-Methods, with A. Rahunanthan, Journal of Computational and Applied Mathematics , Vol. 233, 2010, pp. 1798-1811.

Large Eddy Simulations of Round Jets with the Spectral Element Method, with X. Zhang, Computers and Fluids , Vol. 39, 2010, pp. 251-259.

Large Eddy Simulation of Swirling Turbulent Jet Flows, with C.P. Zemtsop, M.K. Stoellinger and S. Heinz. AIAA Journal, Vol. 47, No. 12, Dec. 2009, pp. 3011-3021.

Random coefficient differential equation models for bacterial growth, with B. Chen-Charpentier, Mathematical and Computer Modeling , Vol. 50, 2009, pp. 885-895.

Stable Interface Conditions for Discontinuous Galerkin Approximations of the Navier-Stokes Equations, with A. Rahunanthan, Journal of Scientific Computing , Vol. 41, 2009, pp. 118-138.

Random Coefficient Differential Models of Growth of Anaerobic Photosynthetic Bacteria, with B. Chen-Charpentier, B.J. Jensen and P.J.S. Colberg, ETNA , Vol. 34, 2008-2009, pp. 44-58.

Numerical Generation of symmetric alpha-stable random variables, with S. Popa and S.S. Wulff, Studia Universitatis Babes-Bolyai, Series Mathematica, Vol. LIII, No. 3, Sept. 2008, pp. 105-117.

Low-Storage Runge-Kutta Methods for Stochastic Differential Equations, with D. Kim, Applied Numerical Mathematics, Vol. 58, 2008, pp. 1479-1502.

Numerical Study of Interacting Particles Approximations for Integro-Differential Equations, with D. Kim and W.A. Woyczynski, Journal of Computational Physics, Vol. 206, 2005, pp. 706-726.

Spectral Element Method for Linear Fan Tone Noise Radiation, with Ait-Ali-Yahia, W.G. Habashi and M.P. Robichaud, AIAA Journal, Vol. 42, No. 4, 2004, pp. 696-705.

Unsplit Variables Perfectly Matched Layers for the Shallow Water Equations with Coriolis Forces, with S. Abarbanel and M.Y. Hussaini, Computational Geosciences, Vol. 7, No. 4, 2003, pp. 275-294.

Aircraft Engine Noise Scattering from Fuselage and Wings -- A Computational Approach, with M.Y.Hussaini and F.Farassat, Journal of Sound and Vibration, Vol. 263, No. 2, May 2003, pp. 319-333.

Computation of engine noise propagation and scattering off an aircraft, with J. Xu, M.Y.Hussaini and F.Farassat, International Journal of Aeroacoustics, Vol. 1, No. 4, 2002, pp. 403-420.

Shape Optimization for Noise Radiation Problems, with Y. Cao, Computers and Mathematics with Applications, Vol. 44, No. 12, Dec. 2002, pp. 1539-56.

Dispersion Analysis for Discontinuous Spectral Element Methods, with D.A. Kopriva and M.Y. Hussaini, Journal of Scientific Computing, Vol. 15, No. 2, June 2000, pp. 149-171.

Multidomain Spectral Computations of Sound Radiation from Ducted Fans, with D. Ait-Ali-Yahia, W.G. Habashi and M.P. Robichaud, AIAA Journal, Vol. 37, No. 3, March 1999, pp. 296-302.

Essentially Non-Oscillatory Euler Solutions on Unstructured Meshes Using Extrapolation, with W.G. Habashi, AIAA Journal, Vol. 36, No. 8, August 1998, pp. 1413-1416.

2N-Storage Low Dissipation and Dispersion Runge-Kutta Schemes for Computational Aeroacoustics, with W.G. Habashi, Journal of Computational Physics, Vol. 134, No. 2, June 1998, pp. 674-681.

CONFERENCE PROCEEDINGS PAPERS/RECENT TALKS/TECHNICAL REPORTS

Infinitesimal structure of inverse pinch effect cylindrical MHD shocks, with R. S. Baty and D. Tucker, Los Alamos National Laboratory Report LA-UR-08-05609, Sept. 2008.

Large Eddy Simulation of Swirling Turbulent Flows, with C.P. Zemtsop, M.K. Stoellinger and S. Heinz, Proceedings of the 16th Annual Conference of the CFD Society of Canada, Bergstrom, D.J. and Spiteri, R., Eds., June 2008.

Microstructure of normal magnetohydrodynamic shock waves, with R. S. Baty and F. Farassat, Los Alamos National Laboratory Report LA-UR-08-03608, June 2008.

Random Coefficient Differential Equation Models for Monod Kinetics, with Benito M. Chen-Charpantier, 7th AIMS Conference on Dynamical Systems and Differential Equations, Arlington, TX, May 18-21, 2008.

Spectral Element Methods for Turbulent Flows, with X. Zhang and J. Naughton, 60th Annual Meeting of the APS Division of Fluid Dynamics, Salt Lake City, UT, Nov 18-20, 2007.

Development of a Spectral Element DNS/LES Method for Turbulent Flow Simulations, with X. Zhang and J. Naughton, Paper FEDSM2007-37443, 5th Joint ASME/JSME Fluids Engineering Conference, San Diego, CA, July 30-August 2, 2007.

A RANS- LES Study of Swirling and Non-Swirling Jets, with M.K. Stoellinger, C.P. Zemtsop and S. Heinz, AIAA Paper 2007-0925, 45th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, January 8-10, 2007.

p-Multigrid for the Nodal Discontinuous Galerkin Approximation, with D. Kim, Ninth Copper Mountain Conference on Iterative Methods, Copper Mountain, CO, April 2-7, 2006.

Numerical generation of alpha-stable random variables , with S. Popa, Fifth IMACS Conference on Monte Carlo Methods, Florida State University, Tallahassee, FL, May 16-20, 2005.

Optimal Acoustic Design of Fan Inlets for Tone Noise Radiation, with L. Mathelin and M.Y. Hussaini, AIAA Paper 2003-3269, 9th AIAA/CEAS Aeroacoustics Conference, Hilton Head, SC, May 2003.

Computation of Engine Noise Propagation and Scattering off an Aircraft, with J. Xu, M.Y. Hussaini and F. Farassat, AIAA Paper 2003-0542, Reno, NV, January 2003.

Large Scale Frequency Domain Numerical Simulation of Aircraft Engine Tone Noise Radiation and Scattering, with M.Y. Hussaini and F. Farassat, AIAA Paper 2002-2586, 8th AIAA/CEAS Aeroacoustics Conference, Breckenridge, CO, June 2002.

Aircraft Engine Noise Scattering - A Discontinuous Spectral Element Approach, with M.Y. Hussaini and F. Farassat, AIAA Paper 2002-0800, 40th AIAA Aerospace Sciences Meeting, Reno, NV, January 2002.

Galerkin Spectral Element Method for Fan Tone Radiation Computations, with D. Ait-Ali-Yahia, M.P. Robichaud and W.G. Habashi, AIAA Paper 2000-1912, 6th AIAA/CEAS Aeroacoustics Conference, Lahaina, Hawaii, June 2000.

Spectral Element Grid Generation and Nonlinear Computations for Noise Radiation from Aircraft Engines, with D. Ait-Ali-Yahia, M.P. Robichaud and W.G. Habashi, AIAA Paper 99-1832, 5th AIAA/CEAS Aeroacoustics Conference, Bellevue, WA, May 1999.

Axisymmetric Computations of Fan Noise Radiation from the PW545 Turbofan Inlet, with D. Ait-Ali-Yahia, W.G. Habashi and M.P. Robichaud, AIAA Paper 99-0483, 37th AIAA Aerospace Sciences Meeting, Reno, NV, January 1999.

Validation of a 3D Multidomain Spectral Method for Fan Noise Prediction, with W.G. Habashi, AIAA Paper 98-2266, 4th AIAA/CEAS Aeroacoustics Conference, Toulouse, France, June 1998.

Two-Dimensional Shock-Sound Interaction on Unstructured Meshes, with W.G. Habashi, AIAA Paper 97-1606, 3rd AIAA/CEAS Aeroacoustics Conference, Atlanta, GA, June 1997.

Reconstruction Variables for Higher Order Essentially Non-Oscillatory Euler Methods on Unstructured Grids, with D. Mateescu, Advances in Computational Engineering Science, S.N. Atluri and G. Yagawa, editors, Tech Science Press, May 1997, pp. 1072-1077.

Essentially Non-Oscillatory Euler Solutions on Unstructured Meshes Using Extrapolation, with W.G. Habashi, AIAA Paper 97-0539, 35th AIAA Aerospace Sciences Meeting, Reno, NV, January 1997.

Numerical Experiments with Algebraic Multigrid Using Non-Stationary Relaxation, with W.G. Habashi, European Multigrid Conference '96, Stuttgart, Germany, October 1996.

A Two-Dimensional Finite Volume Extension of the Lax-Friedrichs and Nessyahu-Tadmor Schemes for Compressible Flows, with P. Arminjon and M.-C. Viallon, 6th International Symposium on CFD, Lake Tahoe, CA, September 1995.

A biased flux method for solving the Euler equations in subsonic, transonic and supersonic flows, with D. Mateescu, 7th International Conference on Computational Methods and Experimental Measurements, Capri, Italy, May1995.

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