Center for Research in Scientific Computation - 2007

Li, Z., Lubkin, S., & Wan, X. (2007). An augmented immersed interface-level set method for Stokes equations with discontinuous viscosity. Electronic Journal of Differential Equations, Conference, 15, 193–210.

Li, Z. (Ed.). (2007). Applied Numerical Mathematics for the International Conference on Scientific Computing. In Contemporary Mathematics (Vol. 57) [Special Issues]. American Mathematical Society.

Li, Z., Lai, M.-C., & Ito, K. (2007). An immersed interface method for the Navier-Stokes equations on irregular domains. PAMM, 7(1), 1025401–1025402. https://doi.org/10.1002/pamm.200700758

Special Issue for the International Conference on Scientific Computing. (2007). Retrieved from https://www.sciencedirect.com/journal/applied-numerical-mathematics/vol/57/issue/5

Moving Interface Problems and Applications in Fluid Dynamics. (2007). In AMS Contemporary mathematics 466. Retrieved from https://books.google.com/books/about/Moving_Interface_Problems_and_Applicatio.html?id=fMYbCAAAQBAJ

Banks, H. T., Medhin, N. G., & Pinter, G. A. (2007). Multiscale Considerations in Modeling of Nonlinear Elastomers. International Journal for Computational Methods in Engineering Science and Mechanics, 8(2), 53–62. https://doi.org/10.1080/15502280601149346

Finkel, D. E., & Kelley, C. T. (2007). Convergence Analysis of the {DIRECT} Algorithm.

A Case Study in Using Local {I/O} and {GPFS} to Improve Simulation Scalability. (2007). 8th LCI International Conference on High-Performance Clustered Computing.

Lasater, M. S., Kelley, C. T., Salinger, A., Woolard, D. L., Recine, G., & Zhao, P. (2007). Analysis of A Scalable Preconditioner for the Wigner-Poisson Equation. International Journal of Pure and Applied Mathematics, 37, 247–270.

Gong, Y., Li, B., & Li, Z. (2007). Immersed-interface finite-element methods for elliptic interface problems with nonhomogeneous jump conditions. SIAM Journal on Numerical Analysis, 46(1), 472–495. https://doi.org/10.1137/060666482

Dupuis, P., & Zhang, J. X. (2007). Explicit solutions for a class of nonlinear PDEs that arise in allocation problems. SIAM Journal on Mathematical Analysis, 39(5), 1627–1667.

Demetriou, M. A., Ito, K., & Smith, R. C. (2007). Adaptive monitoring and accommodation of nonlinear actuator faults in positive real infinite dimensional systems. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 52(12), 2332–2338. https://doi.org/10.1109/TAC.2007.910694

Neri, F., Toivanen, J., & Makinen, R. A. E. (2007). An adaptive evolutionary algorithm with intelligent mutation local searchers for designing multidrug therapies for HIV. APPLIED INTELLIGENCE, 27(3), 219–235. https://doi.org/10.1007/s10489-007-0069-8

Banks, H. T., Banks, J. E., Dick, L. K., & Stark, J. D. (2007). Estimation of dynamic rate parameters in insect populations undergoing sublethal exposure to pesticides. BULLETIN OF MATHEMATICAL BIOLOGY, 69(7), 2139–2180. https://doi.org/10.1007/s11538-007-9207-z

Banks, H. T., Dediu, S., & Nguyen, H. K. (2007). Time delay systems with distribution dependent dynamics. ANNUAL REVIEWS IN CONTROL, Vol. 31, pp. 17–26. https://doi.org/10.1016/j.arcontrol.2007.02.002

Lada, E. K., Wilson, J. R., Steiger, N. M., & Joines, J. A. (2007). Performance of a wavelet-based spectral procedure for steady-state simulation analysis. INFORMS Journal on Computing, 19(2), 150–160. https://doi.org/10.1287/ijoc.1050.0161

Banks, H. T., Lewis, B. M., & Tran, H. T. (2007). Nonlinear feedback controllers and compensators: a state-dependent Riccati equation approach. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 37(2), 177–218. https://doi.org/10.1007/s10589-007-9015-2

Bai, P., Banks, H. T., Dediu, S., Govan, A. Y., Last, M., Lloyd, A. L., … Slenning, B. D. (2007). Stochastic and deterministic models for agricultural production networks. Mathematical Biosciences and Engineering, 4(3), 373–402. https://doi.org/10.3934/mbe.2007.4.373

Li, Z., Song, Y., & Tang, T. (2007). Preface of the special issue of APNUM - International Conference on Scientific Computing in Nanjing, China. APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 473–474. https://doi.org/10.1016/j.apnum.2006.07.023

Ackleh, A. S., Deng, K., & Hu, S. H. (2007). On a nonlinear size-structured phytoplankton-zooplankton aggregation model. Dynamics of Continuous, Discrete & Impulsive Systems. Series A, Mathematical Analysis, 14(2), 265–285.

Lenczner, M., & Smith, R. C. (2007). A two-scale model for an array of AFM's cantilever in the static case. MATHEMATICAL AND COMPUTER MODELLING, 46(5-6), 776–805. https://doi.org/10.1016/j.mcm.2006.12.028

Gremaud, P. A., Kuster, C. M., & Li, Z. (2007). A study of numerical methods for the level set approach. APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 837–846. https://doi.org/10.1016/j.apnum.2006.07.022

Ito, K., & Toivanen, J. (2007). A fast iterative solver for scattering by elastic objects in layered media. APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 811–820. https://doi.org/10.1016/j.apnum.2006.07.020

Banks, H. T., & Davis, J. L. (2007). A comparison of approximation methods for the estimation of probability distributions on parameters. APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 753–777. https://doi.org/10.1016/j.apnum.2006.07.016

Banks, H. T., Luke, N. S., & Samuels, J. R., Jr. (2007, July). Viscoelasticity in polymers: Phenomenological to molecular mathematical modeling. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Vol. 23, pp. 817–831. https://doi.org/10.1002/num.20250

Li, Z., Ito, K., & Lai, M.-C. (2007). An augmented approach for Stokes equations with a discontinuous viscosity and singular forces. COMPUTERS & FLUIDS, 36(3), 622–635. https://doi.org/10.1016/j.compfluid.2006.03.003

Ball, B. L., Smith, R. C., Kim, S.-J., & Seelecke, S. (2007). A stress-dependent hysteresis model for ferroelectric materials. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 18(1), 69–88. https://doi.org/10.1177/1045389X07070937

Rosenberg, E. S., Davidian, M., & Banks, H. T. (2007). Using mathematical modeling and control to develop structured treatment interruption strategies for HIV infection. DRUG AND ALCOHOL DEPENDENCE, 88, S41–S51. https://doi.org/10.1016/j.drugalcdep.2006.12.024

Banks, H. T., Dediu, S., & Nguyen, H. K. (2007). Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space. Mathematical Biosciences and Engineering, 4(3), 403–430. https://doi.org/10.3934/mbe.2007.4.403

Banks, H. T., Bokil, V. A., & Hu, S. (2007). Monotone approximation for a nonlinear size and class age structured epidemic model. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 8(3), 834–852. https://doi.org/10.1016/j.nonrwa.2006.03.008

Lehtovaara, L., Toivanen, J., & Eloranta, J. (2007). Solution of time-independent Schrodinger equation by the imaginary time propagation method. JOURNAL OF COMPUTATIONAL PHYSICS, 221(1), 148–157. https://doi.org/10.1016/j.jcp.2006.06.006

Westrain, I., Oates, W. S., Lupascu, D. C., Roedel, J., & Lynch, C. S. (2007). Mechanism of electric fatigue crack growth in lead zirconate titanate. ACTA MATERIALIA, 55(1), 301–312. https://doi.org/10.1016/j.actamat.2006.08.029

Kepler, G. M., Nguyen, H. K., Webster-Cyriaque, J., & Banks, H. T. (2007). A dynamic model for induced reactivation of latent virus. JOURNAL OF THEORETICAL BIOLOGY, 244(3), 451–462. https://doi.org/10.1016/j.jtbi.2006.08.020

Nealis, J. M., & Smith, R. C. (2007). Model-based robust control design for magnetostrictive transducers operating in hysteretic and nonlinear regimes. IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 15(1), 22–39. https://doi.org/10.1109/TCST.2006.883235

Adams, B. M., Banks, H. T., Davidian, M., & Rosenberg, E. S. (2007). Estimation and prediction with HIV-treatment interruption data. BULLETIN OF MATHEMATICAL BIOLOGY, 69(2), 563–584. https://doi.org/10.1007/s11538-006-9140-6

Dickson, K. I., Kelley, C. T., Ipsen, I. C. F., & Kevrekidis, I. G. (2007). Condition estimates for pseudo-arclength continuation. SIAM JOURNAL ON NUMERICAL ANALYSIS, 45(1), 263–276. https://doi.org/10.1137/060654384

Ackleh, A. S., & Hu, S. (2007). Comparison between stochastic and deterministic selection-mutation models. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 4(2), 133–157. https://doi.org/10.3934/mbe.2007.4.133

Li, Z., Pao, C. V., & Qiao, Z. (2007). A Finite Difference Method and Analysis for 2D Nonlinear Poisson–Boltzmann Equations. Journal of Scientific Computing, 30(1), 61–81. https://doi.org/10.1007/s10915-005-9019-y