Center for Research in Scientific Computation - 2009

David, J., Tran, H., & Banks, H. T. (2009). HIV Model Analysis and Estimation Implementation Under Optimal Control Based Treatment Strategies. International Journal of Pure and Applied Mathematics, 57(3), 357–392.

Sutton, K. L., Banks, H. T., & Castillo-Chavez, C. (2009). Public vaccination policy using an age-structured model of pneumococcal infection dynamics. Journal of Biological Dynamics, 4(2), 176–195. https://doi.org/10.1080/17513750903023715

Khoo, B. C., Li, Z., & Lin, P. (2009). Interface Problems and Methods in Biological and Physical Flows. In B. C. Khoo, Z. Li, & P. Lin (Eds.), WORLD SCIENTIFIC. https://doi.org/10.1142/7147

Banks, H. T., Davis, J. L., Ernstberger, S. L., Hu, S., Artimovich, E., Dhar, A. K., & Browdy, C. L. (2009). A comparison of probabilistic and stochastic formulations in modelling growth uncertainty and variability. Journal of Biological Dynamics, 3(2-3), 130–148. https://doi.org/10.1080/17513750802304877

Aoi, M., Gremaud, P., Tran, H. T., Novak, V., & Olufsen, M. S. (2009). Modeling cerebral blood flow and regulation. 2009 Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Presented at the 2009 Annual International Conference of the IEEE Engineering in Medicine and Biology Society. https://doi.org/10.1109/IEMBS.2009.5334057

Ives, R. L., Attarian, A., Bui, T., Read, M., David, J., Tran, H., … Kiley, E. (2009). Computational design of asymmetric electron beam devices. IEEE Transactions on Electron Devices, 56(5), 753–761. https://doi.org/10.1109/TED.2009.2015421

Chertock, A., & Kurganov, A. (2009). Computing multivalued solutions of pressureless gas dynamics
              by deterministic particle methods. Commun. Comput. Phys., 5(2-4), 565–581. Retrieved from http://global-sci.org/intro/article_detail/cicp/7750.html

Chertock, A., & Kurganov, A. (2009). On splitting-based numerical methods for convection-diffusion
              equations. In Numerical methods for balance laws (Vol. 24, pp. 303–343). Dept. Math., Seconda Univ. Napoli, Caserta.

Baruch, G., Fibich, G., & Tsynkov, S. V. (2009). Numerical solution of the nonlinear Helmholtz equation. In Mathematics in Applications, Proceedings of the conference in honor of the 80th birthday
             of Academician S. K. Godunov, Novosibirsk, Russia, July 20--24, 2009 (pp. 37–38). Retrieved from https://stsynkov.math.ncsu.edu/publications/a54e_godunov80.pdf

Baruch, G., Fibich, G., & Tsynkov, S. V. (2009). Numerical Simulation of Focusing Nonlinear Waves in the Nonparaxial Regime. In H. Barucq, A.-S. Bonnet-Bendhia, G. Cohen, J. Diaz, A. Ezziana, & P. Joly (Eds.), Proceedings of the 9th International Conference on
             Mathematical and Numerical Aspects of Wave Propagation, WAVES 2009,
             Pau, France, June 15--19, 2009 (pp. 325–327). Retrieved from https://stsynkov.math.ncsu.edu/publications/a54e_waves09-abstract.pdf

Tsynkov, S. V. (2009). On SAR Imaging through the Earth's Ionosphere. In H. Barucq, A.-S. Bonnet-Bendhia, G. Cohen, J. Diaz, A. Ezziana, & P. Joly (Eds.), Proceedings of the 9th International Conference on
             Mathematical and Numerical Aspects of Wave Propagation, WAVES 2009,
             Pau, France, June 15--19, 2009 (pp. 312–313). Retrieved from https://stsynkov.math.ncsu.edu/publications/a52e_waves09-abstract.pdf

Baruch, G., Fibich, G., Tsynkov, S., & Turkel, E. (2009). Fourth order schemes for time-harmonic wave equations with
              discontinuous coefficients. Commun. Comput. Phys., 5(2-4), 442–455. Retrieved from http://global-sci.org/intro/article_detail/cicp/7742.html

Luo, X.-L., Kelley, C. T., Liao, L.-Z., & Tam, H.-W. (2009). Combining Trust-Region Techniques and {R}osenbrock Methods for Gradient Systems. J. Optim. Theory Appl., 140, 265–286.

Kelley, C. T., Winton, C., Eslinger, O. J., & Pettway, J. (2009). Calibration of Ground Water Models with {POD}. In M. Heinkenschloss, R. H. W. Hoppe, & V. Schultz (Eds.), Numerical Techniques for Optimization Problems with PDE constraints (pp. 47–49).

Ryaben’kii, V. S., Utyuzhnikov, S. V., & Tsynkov, S. V. (2009). Difference Problem of Noise Suppression and Other Problems of Active Control for Time-Harmonic Sound over Composite Regions. Doklady Rossiiskoi Akademii Nauk, Matematika (Transactions of the Russian Academy of Sciences, Mathematics), 425(4), 456–458.

Banks, H. T., & Smith, R. C. (2009). Numerical Techniques for Simulation, Parameter Estimation, and Noise Control in Structural Acoustic Systems. In H. S. Tzou & L. A. Bergman (Eds.), Dynamics and Control of Distributed Systems (pp. 202–263). https://doi.org/10.1017/cbo9780511530180.006

Valdez-Jasso, D., Banks, H. T., Haider, M. A., Bia, D., Zocalo, Y., Armentano, R. L., & Olufsen, M. S. (2009). Viscoelastic models for passive arterial wall dynamics. Advances in Applied Mathematics & Mechanics, 1(2), 151–165.

Banks, H. T., & Samuels, J. R. (2009). Detection of arterial occlusions using viscoelastic wave propagation. Advances in Applied Mathematics & Mechanics, 1(1), 1–28.

Tsynkov, S. V. (2009). On the Use of Start-Stop Approximation for Spaceborne SAR Imaging. SIAM Journal on Imaging Sciences, 2(2), 646–669. https://doi.org/10.1137/08074026x

Tsynkov, S. V. (2009). On SAR Imaging through the Earth's Ionosphere. SIAM Journal on Imaging Sciences, 2(1), 140–182. https://doi.org/10.1137/080721509

Banks, H. T., & Tran, H. T. (2009). Mathematical and experimental modeling of physical and biological processes. Boca Raton : CRC Press.

B. C. Khoo, Z. L., & Lin, P. (Eds.). (2009). Interface problems and methods in biological and physical flows. New Jersey: World Scientific.

Banks, H. T., & Pedersen, M. (2009). Well-posedness of inverse problems for systems with time dependent parameters. Arabian Journal for Science and Engineering, 34(1D), 39–58.

Gee, M. W., Kelley, C. T., & Lehoucq, R. B. (2009). Pseudo-transient continuation for nonlinear transient elasticity. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 78(10), 1209–1219. https://doi.org/10.1002/nme.2527

Oates, W. S., Evans, P. G., Smith, R., & Dapino, M. J. (2009). Experimental implementation of a hybrid nonlinear control design for magnetostrictive actuators. Journal of Dynamic Systems, Measurement, and Control, 131(4). https://doi.org/10.21236/ada459020

Ryaben’kii, V. S., Utyuzhnikov, S. V., & Tsynkov, S. V. (2009). Difference problem of noise suppression and other problems of active control of single-frequency sound on a composite domain. Doklady Mathematics, 79(2), 240–242. https://doi.org/10.1134/S1064562409020240

Valdez-Jasso, D., Haider, M. A., Banks, H. T., Santana, D. B., German, Y. Z., Armentano, R. L., & Olufsen, M. S. (2009). Analysis of Viscoelastic Wall Properties in Ovine Arteries. IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 56(2), 210–219. https://doi.org/10.1109/TBME.2008.2003093

Banks, H. T., Bokil, V. A., & Gibson, N. L. (2009). Analysis of Stability and Dispersion in a Finite Element Method for Debye and Lorentz Dispersive Media. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 25(4), 885–917. https://doi.org/10.1002/num.20379

Wang, F., Chen, J., Xu, W., & Li, Z. (2009). An additive Schwarz preconditioner for the mortar-type rotated Q(1) FEM for elliptic problems with discontinuous coefficients. APPLIED NUMERICAL MATHEMATICS, 59(7), 1657–1667. https://doi.org/10.1016/j.apnum.2008.11.006

Stuebner, M., Atulasimha, J., & Smith, R. C. (2009, October). Quantification of hysteresis and nonlinear effects on the frequency response of ferroelectric and ferromagnetic materials. SMART MATERIALS AND STRUCTURES, Vol. 18. https://doi.org/10.1088/0964-1726/18/10/104019

Finkel, D. E., & Kelley, C. T. (2009). Convergence Analysis of Sampling Methods for Perturbed {L}ipschitz Functions. Pacific J. Opt., 5(2), 339–350.

Ryaben’kii, V. S., Tsynkov, S. V., & Utyuzhnikov, S. V. (2009). Active control of sound with variable degree of cancellation. Applied Mathematics Letters, 22(12), 1846–1851. https://doi.org/10.1016/j.aml.2009.07.010

Yang, X., Zhang, X., Li, Z., & He, G.-W. (2009). A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations. JOURNAL OF COMPUTATIONAL PHYSICS, 228(20), 7821–7836. https://doi.org/10.1016/j.jcp.2009.07.023

Abarbanel, S., Qasimov, H., & Tsynkov, S. (2009). Long-Time Performance of Unsplit PMLs with Explicit Second Order Schemes. Journal of Scientific Computing, 41(1), 1–12. https://doi.org/10.1007/s10915-009-9282-4

Ito, K., & Toivanen, J. (2009). LAGRANGE MULTIPLIER APPROACH WITH OPTIMIZED FINITE DIFFERENCE STENCILS FOR PRICING AMERICAN OPTIONS UNDER STOCHASTIC VOLATILITY. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 31(4), 2646–2664. https://doi.org/10.1137/07070574X

Banks, H. T., Davis, J. L., Ernstberger, S. L., Hu, S., Artimovich, E., & Dhar, A. K. (2009). Experimental design and estimation of growth rate distributions in size-structured shrimp populations. Inverse Problems, 25(9), 095003. https://doi.org/10.1088/0266-5611/25/9/095003

Cintron-Arias, A., Banks, H. T., Capaldi, A., & Lloyd, A. L. (2009). A sensitivity matrix based methodology for inverse problem formulation. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 17(6), 545–564. https://doi.org/10.1515/JIIP.2009.034

Banks, H. T., Holm, K., Wanner, N. C., Cintron-Arias, A., Kepler, G. M., & Wetherington, J. D. (2009). A mathematical model for the first-pass dynamics of antibiotics acting on the cardiovascular system. MATHEMATICAL AND COMPUTER MODELLING, 50(7-8), 959–974. https://doi.org/10.1016/j.mcm.2009.02.007

Kirsch, B. R., Characklis, G. W., Dillard, K. E. M., & Kelley, C. T. (2009). More efficient optimization of long-term water supply portfolios. WATER RESOURCES RESEARCH, 45. https://doi.org/10.1029/2008wr007018

Banks, H. T., Banks, J. E., & Joyner, S. L. (2009). Estimation in time-delay modeling of insecticide-induced mortality. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 17(2), 101–125. https://doi.org/10.1515/JIIP.2009.012

Ito, K., Lai, M.-C., & Li, Z. (2009). A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. JOURNAL OF COMPUTATIONAL PHYSICS, 228(7), 2616–2628. https://doi.org/10.1016/j.jcp.2008.12.028

Oates, W. S., & Smith, R. C. (2009). Optimal Tracking Using Magnetostrictive Actuators Operating in Nonlinear and Hysteretic Regimes. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 131(3). https://doi.org/10.1115/1.3072093

Baruch, G., Fibich, G., & Tsynkov, S. (2009). A high-order numerical method for the nonlinear Helmholtz equation in multidimensional layered media. Journal of Computational Physics, 228(10), 3789–3815. https://doi.org/10.1016/j.jcp.2009.02.014

Cintron-Arias, A., Castillo-Chavez, C., Bettencourt, L. M. A., Lloyd, A. L., & Banks, H. T. (2009). THE ESTIMATION OF THE EFFECTIVE REPRODUCTIVE NUMBER FROM DISEASE OUTBREAK DATA. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 6(2), 261–282. https://doi.org/10.3934/mbe.2009.6.261

Lim, H., Utyuzhnikov, S. V., Lam, Y. W., Turan, A., Avis, M. R., Ryaben'kii, V. S., & Tsynkov, S. V. (2009). Experimental Validation of the Active Noise Control Methodology Based on Difference Potentials. AIAA Journal, 47(4), 874–884. https://doi.org/10.2514/1.32496

Kepler, G. M., Banksa, H. T., Davidian, M., & Rosenberg, E. S. (2009). A model for HCMV infection in immunosuppressed patients. MATHEMATICAL AND COMPUTER MODELLING, 49(7-8), 1653–1663. https://doi.org/10.1016/j.mcm.2008.06.003

Baruch, G., Fibich, G., Tsynkov, S., & Turkel, E. (2009). Fourth order schemes for time-harmonic wave equations with discontinuous coefficients. Communications in Computational Physics, 5(2-4), 442–455.

Pope, S. R., Ellwein, L. M., Zapata, C. L., Novak, V., Kelley, C. T., & Olufsen, M. S. (2009). ESTIMATION AND IDENTIFICATION OF PARAMETERS IN A LUMPED CEREBROVASCULAR MODEL. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 6(1), 93–115. https://doi.org/10.3934/mbe.2009.6.93

Chertock, A., & Kurganov, A. (2009). Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods. Communications in Computational Physics, 5(2-4), 565–581.

Jiang, Q. L., Li, Z. L., & Lubkin, S. R. (2009). Analysis and computation for a fluid mixture model. Communications in Computational Physics, 5(2-4), 620–634.

Luo, X.-L., Kelley, C. T., Liao, L.-Z., & Tam, H. W. (2009). Combining Trust-Region Techniques and Rosenbrock Methods to Compute Stationary Points. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 140(2), 265–286. https://doi.org/10.1007/s10957-008-9469-0

Demetriou, M. A., Ito, K., & Smith, R. C. (2009). Adaptive techniques for the MRAC, adaptive parameter identification, and on-line fault monitoring and accommodation for a class of positive real infinite dimensional systems. INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 23(2), 193–215. https://doi.org/10.1002/acs.1058

Wang, J., Cai, Q., Li, Z.-L., Zhao, H.-K., & Luo, R. (2009). Achieving energy conservation in Poisson-Boltzmann molecular dynamics: Accuracy and precision with finite-difference algorithms. CHEMICAL PHYSICS LETTERS, 468(4-6), 112–118. https://doi.org/10.1016/j.cplett.2008.12.049

Chertock, A., Kurganov, A., & Petrova, G. (2009, January 30). Fast explicit operator splitting method for convection-diffusion equations. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Vol. 59, pp. 309–332. https://doi.org/10.1002/fld.1355