Interdisciplinary Center for Applied Mathematics


Interdisciplinary Center for
Applied Mathematics

Publications

2008

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,

2007

S. Gugercin A.C. Antoulas and C. A. Beattie, "H2 Model Reduction for large-scale dynamical systems," Accepted, SIMAX, 2007.

S. Gugercin, "An iterative SVD-Krylov based method for model reduction of large-scale dynamical systems," Accepted, Linear Algebra and Its Applications, 2007.

S. Gugercin and K. Willcox, "Krylov Projection Framework for Fourier Model Reduction," Automatica, 2007.

C. A. Beattie and S. Gugercin, "Krylov-based minimization for optimal H2 model reduction," in Proc. of the 46th IEEE Conference on Decision and Control, 2007,

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,

S. Gugercin and A. C. Antoulas, "Model reduction of large scale systems by least squares," Linear Algebra and its Applications, vol. 415, iss. 2-3, 2006.

C. A. Beattie and S. Gugercin, "Inexact Solves in Krylov-based Model Reduction," in Proc. of the 45th IEEE Conference on Decision and Control, 2006,

S. Gugercin A.C. Antoulas and C. A. Beattie, "A rational Krylov Iteration for Optimal H2 Model Reduction," in Proc. of MTNS 2006, 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.

S. Gugercin and J. -R. Li, "Smith-type methods for balanced truncation of large systems," in Proc. Dimension Reduction of Large-Scale Systems, 2005, pp. 49–82.

C. A. Beattie and S. Gugercin, "Krylov-based model reduction of second-order systems with proportional damping," in Proc. of the 44th IEEE Conference on Decision and Control, 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.

S. Gugercin and A. C. Antoulas, "A survey of model reduction by balanced truncation and some new results," International Journal of Control, vol. 77, iss. 8, pp. 748–766, 2004.

C. A. Beattie, S. Gugercin, A. C. Antoulas, and E. Gildin, "Controller reduction by Krylov projection methods," in Proc. of the MTNS 2004, 2004,

S. Gugercin, A. C. Antoulas, C. A. Beattie, and E. Gildin, "Krylov-based controller reduction for large-scale systems," in Proc. of the 43rd IEEE Conference on Decision and Control, 2004,

2003

S. Gugercin, D. C. Sorensen, and A. C. Antoulas, "A modified low-rank Smith method for large-scale Lyapunov Equations," Numerical Algorithms, vol. 32, iss. 6, 2003.

S. Gugercin, A. C. Antoulas, and H. Zhang, "An approach to identification for robust control," IEEE Transactions on Automatic Control, vol. 48, iss. 6, 2003.

2002

J. A. Burns, B. B. King, and L. Zietsman, "On the Computation of Singular Functional Gains for Linear Quadratic Optimal Boundary Control Problems," in Proc. Proceedings of the 3rd Theoretical Fluid Mechanics Meeting, 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.

A. C. Antoulas, D. C. Sorensen, and S. Gugercin, "A survey of model reduction methods for large scale systems," Contemporary Mathematics, AMS Publications, vol. 280, pp. 193–219, 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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