NUMERICAL ALGORITHMS


A multi-implicit space-time spectral element method for advection-diffusion-reaction problems, with C. Pei and M. Sussman, submitted, 2017.

A Space-Time Discontinuous Galerkin Spectral Element Method for Nonlinear Hyperbolic Problems, with C. Pei and M. Sussman, submitted, 2017.

Fractional Viscoelasticity in Fractal Media: Theory, Experimental Validation, and Uncertainty Analysis, with S. Mashayekhi, P. Miles, and W. Oates, Journal of the Mechanics and Physics of Solids, submitted, 2017.

Two Mthods of Global Sensitivity Analysis Used to Investigate Parameters for MRSA Nasal Carriage Model, with A. Jarrett and N. Cogan, Bulletin of Math Biology, to apear, 2017.

Short-term Antiretroviral Treatment Recommendations Based on Sensitivity Analysis of a Mathematical Model for HIV Infection of CD4+T Cells , with A.-M. Croicu, A. Jarrett, and N. Cogan, Bulletin of Math Biology, to apear, 2017, **: **-**.

A Space-Time Discontinuous Galerkin Spectral Element Method for the Stefan Problem, with C. Pei and M. Sussman, Discrete Contnuous Dynamical Systems, Series B, to appear, 2017.

Rate dependent constitutive behavior of dielectric elastomers and applications in legged robotics, with W. OatesS. P. Miles, W. Gao, J. Clark, and S. Mashayekhi, Proc. SPIE Smart Structures and Materials+ Nondestructive Evaluation and Health Monitoring, Portland, Oregan, March 26-29, 2017.

An Efficient Method for Mixed types of Uncertainty Propagation Using Dempster-Shafer Theory, with Y. He, submitted, 2016.

A Space-Time Discontinuous Galerkin Spectral Element Method for the Stefan Problem, with C. Pei and M. Sussman, submitted, 2016.

Uncertainty Analysis of Dielectric Elastomer Membranes Under Electromechanical Loading, with P. Miles, A. Moura, W. Gao and W. Oates, Smart Materials and Structures, submitted, 2016.

A statistical learning strategy for closed-loop control of fluid flows, with F. Gueniat and L. Mathelin, Theoretical and Computational Fluid Dynamics, 2016, 30: 497-510.

Accurate Construction of High Dimensional Model Representation with Application to Uncertainty Quantification, with Y. Liu, and G. Okten, Reliability Engineering and System Safety, 2016, 152: 281-295.

Sensitivity Analysis of a Pharmacokinetic Model of Vaginal Anti-HIV Microbicide Drug Delivery, with A. Jarrett, Y. Gao, N. Cogan and D. Katz, Journal of Pharmaceutical Sciences, 2016, 105: 1772-1778.

Optimal Unified Combination Rule in Application of Dempster-Shafer theory to Lung Cancer Radiotherapy Dose Response Outcome Analysis , with Y. He, Y. Gong, and Y. Xiao, Journal of Applied Clinical Medical Physics, 2016, 17(1): 4-11.

Space-time Adaptive Approach to Variational Data Assimilation Using Wavelets, with I. Souopgui, S. A. Wieland, and O. V. Vasilyev, J. Computatioanl Physics, 2015, 306: 253-268.

Accurate Construction of High Dimensional Model Representation with Application to Uncertainty Quantification, with Y. Liu, and G. Okten, Reliability Engineering and System Safety, submitted, 2015.

A Space-Time Discontinuous Galerkin Spectral Element Method for Nonlinear Hyperbolic Problems, with C. Pei and M. Sussman, submitted, 2015.

A Space-Time Discontinuous Galerkin Spectral Element Method for the Stefan Problem, with C. Pei and M. Sussman, submitted, 2015.

Two Mthods of Global Sensitivity Analysis Used to Investigate Parameters for MRSA Nasal Carriage Model, with A. Jarrett and N. Cogan, submitted 2015.

Sensitivity Analysis of a Pharmacokinetic Model of Vaginal Anti-HIV Microbicide Drug Delivery, with A. Jarrett, Y. Gao, N. Cogan and D. Katz, Journal of Pharmaceutical Sciences, submitted, 2015.

An adaptive coupled level set and moment-of-fluid method for simulating droplet impact and solidification on solid surfaces with application to aircraft icing, with M. Vahab, C. Pei, M. Sussman and Y. Lian, 54th Aerospace Sciences Meeting, 4 - 8 January 2016, San Diego, CA 2015 .

Uncertainty Analysis of Dielectric Elastomer Membranes Under Multi-Axial Loading, with P. Miles, A. Guetler and W. Oates, SMASIS2015-8919, Proc. ASME Conference on Smart Materials and Adaptive Structures and Intelligent Systems, SMASIS 2015, Colorado springs, CO, September 21-23, 2015.

Mathematical Model for MRSA Nasal Carriage, with A. Jarrett and N. Cogan, Bulletin of Mathematical Biology, 2015, 77(9): 1787-1812.

Global Sensitivity Analysis Used to Interpret Biological Experimental Results, with A. Jarrett, Y. Liu, and N. Cogan, Journal of Mathematical Biology, 2015, 71: 151-170.

Uncertainty and Robustness in Weather Derivative Models, with A. Goncu, Y. Liu, and G. Okten, in Monte Carlo and Quasi-Monte Carlo Methods 2014 , Ronald Cools and Dirk Nuyens (editors), Springer-Verlag, 2015.

Global sensitivity analysis for the Rothermel model based on high-dimensional model representation, with Y. Liu and G. Okten, Canadian Journal of Forest Research, 2015, 45: 1-6.

Parametric Uncertainty Quantification in the Rothermel Model with Randomized Quasi-Monte Carlo Methods, with Y. Liu, E. Jimenez, G. Okten, and S. Goodrick, International Journal of Wildland Fire, 2015, 24: 307-316.

An analysis of the discontinuous spectral element method for elastic wave propagation in a heterogeneous material, with J. Bin and W. Oates, Computational Mechanics, 2015, 55: 789-804.

Toward the assimilation of images, with F.-X Le Dimet, I. Souopgui, O. Titaud, and V. Shutyaev, Nonlin. Processes Geophys., 2015, 22: 15-32.

Application of Dempster-Shafer theory in dose response outcome analysis Part II, with Y. He, Y. Gong, and Y. Xiao, Phys. Med. Biol., submitted 2014.

An Optimal Unified Combination Rule, with Y. He, BELIEF2014: 3rd International Conference on Belief Functions, Oxford, UK, September 26-28, 2014, Proceedings, F. Cuzzolin (editor), Lecture Notes in Artificial Intelligence, 2014, 8764: 39-48.

Uncertainty and Robustness in Weather Derivative Models, with A. Goncu, Y. Liu, and G. Okten, Proceedings of the Eleventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, KU Leuven, Belgium, April 8 - 11, 2014.

Global Sensitivity Analysis for the Rothermel Model based on High Dimensional Model Representation, with Y. Liu and G. Okten, Proceedings of the 4th Fire Behavior and Fuels Conference, 18 - 21 February 2013, Raleigh, North Carolina, Dale Wade and Rebekah Fox (editors) (International Association of Wildland Fire: Missoula, MT) 2013: 51-60.

A Variance Reduction Method Based on Sensitivity Derivatives, Part 2, with E. Jimenez and Y. Liu, Applied Numerical Mathematics, 2013, 74: 151-159.

Optimization of a Monte Carlo Variance Reduction Method Based on Sensitivity Derivatives, with Y. Liu, and G. Okten, Applied Numerical Mathematics, 2013, 72(1): 160-171.

Fluid-Structure Interactions of Flapping Photomechanical Liquid Crystal Networks, with J. Bin and W. Oates, Journal of Fluids and Structures, 2013, 37: 34-61.

Shape Optimization Under Uncertainty, with A.-M. Croicu, G. Klopfer and A. Jameson, AIAA Journal, 2012, 50(9): 1905-1919.

Application of Dempster-Shafer theory in dose response outcome analysis, with W. Chen, Y. Cui, Y. He, Y. Yu, J. Galvin, and Y. Xiao, Phys. Med. Biol., 2012, 57(2): 5575-5585.

Fluid-Structure Interactions of Fast Response Photomechanical Liquid Crystal Networks, with J. Bin and W. Oates, Proc. ASME Conference on Smart Materials and Adaptive Structures and Intelligent Systems, SMASIS 2011, Scottsdale, AZ, September 18-21, 2011.

Uncertainty Quantification in the Horizontal Projection of Flight Plan Trajectories Using Evidence Theory, with S. V. Poroseva, Y. He, and R. Mankbadi, Paper AIAA 2011-1759, 13th AIAA Non-Deterministic Approaches Conference, Denver, Colorado, 4-7 April 2011.

Fluid-Structure Interactions of Fast Photomechanical Liquid Crystal Elastomers Driven by Light, with J. Bin and W. Oates, International Conference on Fluid Structure Interactions, Orlando, Florida, 9-11 May 2011.

Adaptive Grid Redistribution Method for Domains with Complex Boundaries, with J. Bin and A. Uzun, Journal of Computational Physics, 2011, 230: 3178-3204.

Stochastic data assimilation with a polynomial chaos parametric estimation, with L. Mathelin and C. Desceliers, Computational Mechanics, 2011, 47: 603-616.

Application of Evidence Theory in Radiation Oncology Outcome Analysis, with Y. Xiao, Y. Cui, W. Chen, Y. Yu and J. Galvin, Proc. 3rd Intern. Conf. Biomedical Engineering and Informatics, Oct 16-18, 2010, Yantai, China 2010, 5: 1985-1987.

Uncertainty Quantification in Flight Plan Horizontal Path Using Evidence Theory, with Y. He, S. V. Poroseva and R. Mankbadi, Florida Center for Advanced Aeropropulsion (FCAAP) Annual Technical Symposium and Exhibition, Tallahassee, Florida, 9-10 August 2010.

Uncertainty Quantification in Flight Plans Using Evidence Theory: Departure and Arrival Times, with S. V. Poroseva, Yanyan He, J. J. Pesce and R. Mankbadi, 12th AIAA Non-Deterministic Approaches Conference, Orlando, Florida, USA, 12-15 April 2010.

A Systematic Study of Efficient Sampling Methods to Quantify Uncertainty in Crack Propagation and the Burgers Equation, with E. Jimenez and N. Lay, Monte Carlo Methods and Applications, 2010, 16(1): 69-93.

Simulations of Vortex Formation Around a Blunt Wing Tip, with A. Uzun, AIAA Journal, 2010, 48(6): 1221-1234.

Adaptive Mesh Refinement for Chevron Nozzle Jet Flows, with J. Bin and A. Uzun, Computers and Fluids, 2010, 39(6): 979-993.

Asynchronous Time Integration for Polynomial Chaos Expansion of Uncertain Periodic Dynamics, with O. L. Maitre, L. Mathelin, O. Knio, Discrete and Continuous Dynamical Systems - A, 2010, 28 (1): 199-226.

Uncertainty Quantification in Flight Departure and Arrival Time Using Dempster-Shafer Theory of Evidence, with S. V. Poroseva and R. Mankbadi, Florida Center for Advanced Aeropropulsion (FCAAP) -- Annual Technical Symposium, Orlando, Florida, 13-14 August, 2009.

Quantifying Uncertainties in Aircraft Trajectories, with S. V. Poroseva and R. Mankbadi, 10th US National Congress On Computational Mechanics, Columbus, Ohio, July 16-19, 2009.

Algorithm Development for Evaluating the IPS Survivability Due to its Topology, with S.V. Poroseva and N. Lay, Proceedings of IEEE Electric Ship Technolgies Sysmposium, April 20-22, 2009, Baltimore, MD, pp. 253-260, 2009.

Towards Resilient Power Grids, with S.V. Poroseva, Proceedings of Energy Sustainability, July 19-23, 2009, San Francisco, CA 2009.

Artifical Intelligence Techniques in Simulation of Viscoplasticity of Polymeric Composites, with M. S. Al-Haik, C. S. Rogan, Polymer Composites, 2009, 13(11): 1701-1708.

Multiscale Geometric Analysis of Turbulence by Curvelets, with J. Ma, O. V. Vasilyev, F.-X. Le Dimet, Physics of Fluids, 2009, 21(7): 075104.

Broadband impedance boundary conditions for the simulation of sound propagation in the time domain, with J. Bin, S. Lee, J. Acoust. Soc. Am., 2009, 125(2): 664-675.

On discretization error and its control in variational data assimilation, with D. Furbish, F.-X Le Dimet, P. Ngnepieba and Y. Wu, Tellus A, 2008, 60(5): 979-991.

Stochastic Data Assimilation with A Karhunen-Loeve/Polynomial Chaos Statistical Reduction, with L. Mathelin, 8th World Congress on Computational Mechanics (WCCM8), 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008), June 30 –July 5, 2008, Venice, Italy, 2008.

Artifical Intelligence Techniques in the Simulation of Viscoplasticity of Polymeric Composites, with M. S. Al-Haik, C. S. Rogan, Proc. The Ninth International Conference on Computational Structures Technology, Athens, Greece, 2-5 Septemebr 2008, edited by B. H. V. Topping and M. Papadrakakis, Civil-Comp Press, Stirlingshire, Scotland.

Quantification of Uncertainty Associated with Low-Fidelity Simulations, with G. Klopfer, P. Ngnepieba and A. Zatezalo, Proc. The Sixth International Conference on Engineering Computational Technology, Athens, Greece, 2-5 Septemebr 2008, edited by M. Papadrakakis and B. H. V. Topping, Civil-Comp Press, Stirlingshire, Scotland.

Quantifying Parametric Uncertainty in the Rothermel Model, with E. Jimenez and S. Goodrick, International Journal of Wildland Fire, 2008, 17(3): 638-649 .

A refining estimation for adaptive solution of wave equation based on curvelets, with J. Ma and G. Tang, SPIE Proceedings Volume 6701 Wavelets XII edited by Dimitry Van De Ville, Vivek K. Goyal and Manos Papdakis, 2007.

Three-dimensional curvelets for coherent vortex analysis of turbulence, with J. Ma, Applied Physics Letters, 2007, 91: 184101.

Uncertainty Quantification of Rothermel Model Using a Sensitivity Derivative Enhanced Sampling Method, with E. Jimenez and S. Goodrick, Proceedings of the 2nd Fire Behavior and Fuels Conference: The Fire Environment -- Innovations, Management, and Policy, 2007, Destin, Florida, March 26-30, 2007.

Numerical Optimization of Radiated Engine Noise with Uncertain Wavenumbers, with Y. Cao and H. Yang, International Journal of Numerical Analysis and Modeling, 2007, 4 (3-4): 392-401.

A sharp interface method for incompressible two-phase flows, with M. Sussman, K. Smith, M. Ohta and R. Zhi-Wei, J. Computational Physics, 2007, 221 (2): 469-505.

Tracking discontinuities in hyperbolic conservation laws with spectral accuracy, with H. Touil and M. Sussman, J. Computational Physics, 2007, 225: 1810-1826.

An efficient sampling method for stochastic inverse problems, with P. Ngnepieba, Comput. Optim. Appl., 2007, 37 :121-138.

Unsteady Boundary Control for Optimal Control of Trailing Edge Noise , with G. Chen, AIAA 2006-2511, 12th AIAA/CEAS Aeroacoustics Conference, May 8-10, 2006, Cambridge, MA.

On the Expected Optimal Value and the Optimal Expected Value, with A.-M. Croicu, Applied Mathematics and Computation 2006, 180: 330-341.

A variance reduction method based on sensitivity derivatives, with Y. Cao, T. A. Zang and A. Zatezalo, Applied Numerical Mathematics 2006, 56: 800-813.

On improving the predictive capability of turbulence models using evidence theory, with S.V. Poroseva and S.L. Woodruff, AIAA J. 2006, 44: 1220-1228 .

Placement of wind turbines using genetic algorithms, with A. A. Grady and M. M. Abdullah, Renewable Energy, 2005, 30: 259-270.

Stochastic approaches to uncertainty quantification in CFD simulations, with L. Mathelin and T.A. Zang, Numerical Algorithms, 2005, 38: 209-236.

Analysis of the singular vectors of the full-physics Florida State University Global Spectral Model, with Z. Li, I. M. Navon, Telluss, 2005, 57A: 560-574.

Tip vortex noise prediction by SAURON: Superior Aeroacoustics Using Robust Overset Numerics, with A. Uzun and C. L. Streett, AIAA Paper 2005-2865, 11th AIAA /CEAS Aeroacoustics Conference, May 2005, Monterey, CA.

On improving the predictive capability of turbulence models using evidence theory, with S.V. Poroseva and S.L. Woodruff, in Proceeding of the 43rd AIAA Aerospace Sciences Meeting and Exhibit, AIAA-2005-1096, January, 2005, Reno, NV .

A comparative study of single-block versus multi-block jet flow computations, with A.Uzun and C. L. Streett, AIAA Journal, 2005, 43(5): 1143-1146.

A second order adaptive sharp interface method for incompressible multiphase flow, with M. Sussman, K. Smith, R. Zhi-Wei and V. Mihalef, Proceedings of the 3rd international conference on Computational Fluid Dynamics, Toronto, Canada, July 2004. 6 pages.

An efficient sampling method for stochastic optimal control problem, In Proceeding of 10th International Conference on Information Analysis and Synthesis ISAS 2004 and the International Conference on Cybernetics and Information Technologies, Systems and Applications: CITSA 2004. CITSA, Orlando, Florida, pp. 375-380, July 2004.

Application of the discontinuous spectral Galerkin method to groundwater flow, with S. Fagherazzi, P. Rasetarinera and D.J. Furbish, Advances in Water Resources, 2004, 27: 129-140.

A perfectly matched layer approach to the linearized shallow water equations models, with I.M. Navon, Monthly Weather Review, June 2004, 132: 1369-1378.

Numerical solution of the dam-break problem with a discontinuous galerkin method, with S. Fagherazzi, P. Rasetarinera, D. J. Furbish, Journal of Hydraulic Engineering, 2004, 130(6): 532-539.

On the exploitation of sensitivity derivatives for improving sampling methods, with Y. Cao and T. A. Zang, AIAA J., 2004, 42(4): 815-822.

A Discontinuous Spectral Element Method for the Level Set equation , with M. Sussman, J. Scientific Computing, 19, pp. 479-500, 2003.

A Stochastic Collocation algorithm for uncertainty analysis, with L. Mathelin, NASA/CR-2003-212153, 2003.

Unsplit variables perfectly matched layers for the shallow water equations with Coriolis forces, with A. Abarbanel and D. Stanescu, Computational Geosciences, 2003, 7: 275-294.

An efficient Monte Carlo method for optimal control problems with uncertainty, with Y. Cao and T. A. Zang, Computational Optimization and Application, 2003, 26(3): 219-230.

An efficient implicit discontinuous spectral Galerkin method, with P. Rasetarinera, J. Comp. Physics, 2001, 172: 718-738.

Discontinuous spectral element solution of acoustic radiation from thin airfoils, with D. Kopriva and P. Rasetarinera, AIAA Journal, 2001, 39(11): 2070-75.

Direct-numerical and large-eddy simulations of a non-equilibrium turbulent Kolmogorov flow, with S. L. Woodruff and J. V. Shebalin, 2001 preprint.

Dispersion analysis for discontinuous spectral element methods, with D. Stanescu and D. Kopriva, J. Sci. Computing, 2000, 15(2): 149-71.

Grid-size dependence in the large-eddy simulation of Kolmogorov flow, with S. L. Woodruff and J. M. Seiner, AIAA Journal, 2000, 38(4): 600-604.

Discontinuous spectral element approximation of Maxwell's equations, with D. A. Kopriva and S. L. Woodruff, in Discontinuous Galerkin Methods, B. Cockburn, G. E. Karniadakis and C.-W. Shu (Eds.), Lecture Notes in Computational Science and Engineering, Vol. 11, Springer, 1999.

Some remarks on the accuracy of a discontinuous Galerkin method, with P. Rasetarinera and F. Q. Hu, in Discontinuous Galerkin Methods, B. Cockburn, G. E. Karniadakis and C.-W. Shu (Eds.), Lecture Notes in Computational Science and Engineering, Vol. 11, Springer, 1999.

Towards perfectly absorbing boundary conditions for Euler equations, with M. E. Hayder and F. Q. Hu, AIAA Journal, 1999, 37(8): 912-18.

Analysis of the discontinuous Galerkin method for wave propagation problems, with F. Q. Hu and P. Rasetarinera, J. Comp. Physics, 1999, 151: 921-946.

Nonlinear strong shock interactions: A shock-fitted approach, with G. Erlebacher and T.L. Jackson, Theoretical Computational Fluid Dynamics, 1998, 11: 1-29.

Low-dissipation and dispersion Runge-Kutta schemes for computational acoustics, with F. Q. Hu and J. Manthey, J. Comp. Physics, 1996, 124: 177-191.

On computing sound radiation of a temporally evolving mixing layer by vortex method and matched asymptotic expansions, with F. Q. Hu and J. E. Martin, 34th AIAA-1996-875, Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan 15-18 1996.

Linear and non-linear PSE for compressible boundary-layers, with C.-L. Chang, M. R. Malik and G. Erlebacher, ICASE Report No. 93-70, 1993.

Toward the large-eddy simulation of compressible turbulent flows, with Gordon Erlebacher, C. G. Speziale and T. A. Zang, J. Fluid Mech., 1992, 238: 155-185.

Nonlinear evolution of a second-mode wave in supersonic boundary layers, with G. Erlebacher, Appl. Numer. Mathematics, 1991, 7(1): 73-91.

Direct simulation of compressible turbulence in a shear flow, with S. Sarkar and G. Erlebacher, Theor. Comput. Fluid Dynamics, 1991, 2(5/6): 291-305.

On the large-eddy simulation of compressible isotropic turbulence, with g. Erlebacher, C. G. Speziale and T. A. Zang,Proc. 12th International Conference on Numerical Methods in Fluid Dynamics, Lecture Notes in Physics, Morton (ed.) 1990, 371: 121-126.

Parallelization of a three-dimensional compressible transition code, with G. Erlebacher and S. Bokhari, AIAA Journal, 1990, 28(8): 83-90.

Spectral methods for CFD, with T. A. Zang and C. L. Streett, ICASE Report No. 89-13, Von Karman Institute Lecture Notes, 1989.

Discussion of the potential and limitations of direct and large-eddy simulations, with C. G. Speziale and T. A. Zang, Lecture Notes in Physics, Springer-Verlag, 1989.

Mixing augmentation technique for hypervelocity scramjets, with A. Kumar and D. Bushnell, J. Propulsion and Power, 1989, 5(5): 514-522.

Spectral collocation methods, with D. A. Kopriva and A. T. Patera, Applied Numerical Mathematics, 1989, 5:177-208.

Computational fluid dynamics - a personal view, Lecture Notes in Physics, 323, D. L. Dwoyer, M. Y. Hussaini and R. G. Voigt, eds., Springer-Verlag, 1989, pp. 3-17.

A spectral collocation solution of the compressible stability Eigenvalue problem, NASA TP-2858, December 1988.

Spectral multigrid methods for the numerical simulations of turbulence, with G. Erlebacher and T. A. Zang, in Multigrid Methods, S. McCormick and K. Stuben, eds., Marcel-Dekker, 1988.

The subgrid-scale modeling of compressible turbulence, with C. G. Speziale, G. Erlebacher and T. A. Zang, Physics of Fluids, 1988, 31(4): 940-942.

A numerical model for supersonic reacting mixing layers, with J. P. Drummond and R. C. Rogers, Computer Meth. in Appl. Mech. and Engg., 1987, 64: 39-60.

Spectral methods in fluid dynamics, with T. A. Zang, Ann. Rev. Fluid Mech., 1987, 19: 339-367.

Multigrid methods for structural mechanics, with I. S. Raju, C. A. Bigelow and S. Ta'asan, NASA TM-87761, 1986.

Preconditioning methods for spectral multigrid calculations, with T. N. Phillips and T. A. Zang, IMA J. Num. Analysis, 1986, 6: 273-292.

Preconditioned conjugate residual methods for the solution of spectral equations, with Y. S. Wong and T. A. Zang, Computers and Fluids, 1986, 14(2): 85-95.

Efficient iterative techniques for the solution of spectral equations, with Y. S. Wong and T. A. Zang, Computers and Fluids, 1986, 14(2): 85-95.

Spectral methods for modeling supersonic chemically reacting flow fields, with J. P. Drummond and T. A. Zang, AIAA Journal, 1986, 24(9): 1461- 67.

On spectral multigrid methods for the time dependent Navier-Stokes equations, with T. A. Zang, J. of Applied Mathematics and Computation, 1986, 19: 359-372.

Second-order accurate explicit finite-difference schemes for waterhammer analysis, with M. H. Chaudhry, J. Fluids Engineering, 1985, 107: 523-528.

A spectral collocation method for the Navier Stokes equations, with M. R. Malik and T. A. Zang, J. Comp. Physics, 1985, 61: 64-88.

A three-dimensional spectral algorithm for simulation of transition and turbulence, with T. A. Zang, NASA CR-172561, 1985.

Fourier-Legendre spectral methods for incompressible channel flow, with T. A. Zang, Ninth International Conference on Numerical Methods in Fluid Dynamics, Saclay, France, June 25-29, 1985, Lecture Notes in Mathematics 218, Soubbaramayer and J. P. Boujot, eds., Springer-Verlag, 1985, pp. 603-607.

Spectral methods for the Euler Equations: Chebyshev methods and shock-fitting, with D. Kopriva, M. D. Salas and T. A. Zang, AIAA Journal, 1985, 23(2): 234-240.

Spectral methods for Euler equations: Fourier methods and shock capturing, with D. Kopriva, M. D. Salas and T. A. Zang, AIAA Journal, 1985, 23(1): 64-70.

Spectral multigrid methods for Dirichlet problems, with T. Phillips and T. A. Zang, in Multigrid Methods for Integral and Differential Equations, H. Horstein and D. Paddon, eds., Oxford University Press, 1985, pp. 231-252.

Spectral multigrid methods with applications to transonic potential flow, with C. L. Streett and T. A. Zang, J. Comp. Physics, 1985, 57(1): 43-76.

Spectral methods for inviscid, compressible flows, with M. D. Salas and T. A. Zang, Advances in Computational Transonics, W. G. Habashi, Ed., Pineridge Press, 1985, pp. 875-912.

Numerical Computations of Turbulence Amplification in Shock Wave Interaction, with T.A. Zang and D.M. Bushnell, AIAA J., January 1984, 22(1): 13-21.

Pseudospectral Calculation of Shock-Turbulence Interactions, with T.A. Zang and D.A. Kopriva, Proc. of Numerical Methods Conference, C. Taylor, J.A. Johnson, W.R. Smith (eds.), Pineridge Press, Swansea, United Kingdom, 1984, pp. 210-221.

Theory and Applications of Spectral Methods, with D. Gottlieb and S.A. Orszag, Spectral Methods for Partial Differential Equations, R.G. Voight, D. Gottlieb, M.Y. Hussaini (eds.), SIAM-CBMS Series, 1984, pp. 1-54.

Iterative spectral methods and spectral methods for compressible flows, with T. A. Zang, in Spectral Methods for Partial Differential Equations, R. G. Voigt, D. Gottlieb, M. Y. Hussaini, eds., SIAM, Philadelphia, 1984, pp. 119-140.

Spectral methods for solution of boundary layer equations, with C. Streett and T. A. Zang, AIAA Paper 84-0170, 22nd Aerospace Sciences Meeting, Reno, Nevada, January 1984.

Spectral methods for partial differential equation, with C. L. Streett and T. A. Zang, Transactions of The First Army Conference on Applied Mathematics and Computing, ARO Report 84-1, 1984, pp. 883-925.

Spectral multigrid methods for elliptic equations II, with T. A. Zang and Y. S. Wong, J. Comp. Physics, 1984, 54(3): 489-507.

Pseudospectral solutions of two-dimensional gas dynamic problems, with D. A. Kopriva, T. A. Zang and M. D. Salas, Fifth GAMM - Conference on Numerical Methods in Fluid Dynamics, M. Pandolfi and R. Piva, eds., 1983, Friedr. Vieweg and Son, 1984, pp. 185-192.

Viscous, Resistive MHD Stability Computed by Spectral Techniques, with R.B. Dahlburg, T.A. Zang and D.C. Montgomery, Proc. Nat. Acad. Sci., September 1983, 80: 5798-5802.

Navier-Stokes Solution of the CYBER-203 by a Pseudospectral Technique, with J.J. Lambiotte, S. Bokhari and S.A. Orszag, 10th IMACS World Congress on System Simulation and Scientific Computation, Vol. 1, August 8-13, 1982, Montreal, Canada, pp. 305-307.

Accurate Numerical Solution on Compressible, Linear Stability Equations, with M.R. Malik and S. Chuang, J. of Applied Mathematics and Physics (ZAMP), Vol. 33, March, 1982, pp.189-201.

Spectral Multi-Grid Methods for Elliptic Equations, with T.A. Zang and Y.S. Wong, J. Computational Physics, 1982, 48(3): 485-501.

Fast Orthogonal Derivatives on the STAR, with S. Bokhari and S. Orszag, Comput. Math Appl., 1982, 8(5): 367-377.

Shock-Fitted Euler Solutions to Shock-Vortex Interactions, with T.A. Zang and M.D. Salas, Lecture Notes in Physics, No. 170, E.Krause (ed.), Springer-Verlag, 1982, Proc of the 8th Intl. Conf. on Numerical Methods in Fluid Dynamics, Aachen, Germany, pp. 461-467.

Mixed Spectral Finite Difference Approximations for Slightly Viscous Flows, with T.A. Zang, Proc. of the 7th International Conference on Numerical Methods in Fluid Dynamics, Stanford, California, Lecture Notes in Physics, 1981, W. Reynolds and R. MacCormack (eds.), Springer-Verlag.

top