Interdisciplinary Center for Applied Mathematics


Interdisciplinary Center for
Applied Mathematics

Jeff Borggaard

Professor

Department:	Mathematics (0123)
Office:	McBryde 528
Phone:	(540) 231 - 7667
Fax:	(540) 231 - 7079
Email:	jborggaard@vt.edu
Address:	ICAM / Wright House West Campus Drive Blacksburg, VA 24061

Alternate Websites:
Homepage under Department of Mathematics

Publications2008

J. Borggaard, A. Duggelby, A. Hay, T. Iliescu, and Z. Wang, "Reduced Order Modeling of Turbulent Flows," in Proc. 2008 Mathematical Theory for Networks and Systems, 2008,

2006

C. Beattie, J. Borggaard, S. Gugercin, and T. Iliescu, "A Domain Decomposition Approach to POD," in Proc. of the 45th IEEE Conference on Decision and Control, 2006,

R. Duvigneau, D. Pelletier, and J. Borggaard, "An Improved Continuous Sensitivity Equation Method for Optimal Shape Design in Mixed Convection," Numerical Heat Transfer: Part B, Fundamentals, vol. 50, iss. 1, pp. 1–24, 2006.

J. Borggaard and T. Iliescu, "Approximate Deconvolution Boundary Conditions for Large Eddy Simulation," Applied Math Letters, vol. 19, pp. 735–740, 2006.

H. Hristova, S. Etienne, D. Pelletier, and J. Borggaard, "A Continuous Sensitivity Equation Method for Time-dependent Incompressible Laminar Flows," Interational Journal for Numerical Methods in Fluids, vol. 50, iss. 7, pp. 817–844, 2006.

J. Borggaard, "Optimal Reduced-Order Modeling for Nonlinear Distributed Parameter Systems," in Proc. Proc. 2006 American Control Conference, 2006,

2005

S. Etienne, J. N. Mahieu, D. Pelletier, and J. Borggaard, "A Second-Order Sensitivity Equation Method for Laminar Flows," International Journal of Computational Fluid Dynamics, vol. 19, iss. 2, pp. 143–157, 2005.

E. Colin, S. Etienne, D. Pelletier, and J. Borggaard, "Application of a Sensitivity Equation Method to Turbulent Flows with Heat Transfer," International Journal of Thermal Sciences, vol. 44, iss. 11, pp. 1024–1038, 2005.

2004

E. Turgeon, D. Pelletier, and J. Borggaard, "A General Continuous Sensitivity Equation Formulation for the k-epsilon Model of Turbulence," International Journal of Computational Fluid Dynamics, vol. 18, iss. 1, pp. 29–46, 2004.

S. B. Shah, M. L. Wolfe, and J. Borggaard, "Simulating the Fate of Subsurface-Banced Urea," Nutrient Cycling in Agroecosystems, vol. 70, pp. 47–66, 2004.

2002

E. Turgeon, D. Pelletier, and J. Borggaard, "A General Continuous Sensitivity Equation Formulation for Complex Flows," Numerical Heat Transfer: Part B, Fundamentals, vol. 42, iss. 6, pp. 485–498, 2002.

2001

E. Turgeon, D. Pelletier, and J. Borggaard, "Sensitivity and uncertainty analysis for variable property flows," in Proc. Proceedings of the 39th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2001-0140, 2001,

J. Borggaard and A. Verma, "On Efficient Solutions to the Continuous Sensitivity Equation Using Automatic Differentiation," SIAM Journal on Scientific Computing, vol. 22, iss. 1, pp. 39–62, 2001.

J. Atwell, J. Borggaard, and B. King, "Reduced Order Controllers for Burgers Equation with a Nonlinear Observer," International Journal of Applied Mathematics and Computational Science, vol. 11, iss. 6, pp. 1311–1330, 2001.

J. Borggaard, D. Pelletier, and E. Turgeon, "Parametric Uncertainty Analysis for Thermal Fluid Calculations," Journal of Nonlinear Analysis: Series A, Theory and Methods, vol. 47, pp. 4533–4543, 2001.

1997

J. Borggaard and J. Burns, "A PDE sensitivity equation method for optimal aerodynamic design," Journal of Computational Physics, vol. 136, iss. 2, pp. 367–384, 1997.

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