Center for Research in Scientific Computation - 2012

Li, Z. (Ed.). (2012). Discrete and Continuous Dynamical Systems, Series B: Mathematical Modeling, Analysis and Computations (Vol. 17) [Special Issue dedicated to Thomas Beale and the FAN conference].

Feng, X., & Li, Z. (2012). Simplified immersed interface methods for elliptic interface problems with straight interfaces. Numerical Methods for Partial Differential Equations, 28(1), 188–203. https://doi.org/10.1002/num.20614

Tran, H. (2012). Optimal Control Theory. In A. Hastings & L. Gross (Eds.), Encyclopedia of Theoretical Ecology (pp. 519–523). Berkeley, CA: University of California Press.

Tran, H., Matzuka, B., Mehlsen, J., Olufsen, M., & Williams, N. (2012). A Kalman Filtering Based Approach for the Modeling of the Cardiovascular Regulation System. In W. Backfrieder, A. Bruzzone, F. Longo, V. Novak, & J. Rosen (Eds.), Proceeding of The 1st international workshop on innovative simulation for healthcare, I-WISH (pp. 107–112).

Olsen, C. H., Mehlsen, J., Otteson, J., Tran, H., & Olufsen, M. S. (2012). Global Sensitivity and Identifiability Analysis Applied to a Model Predicting Baroreflex Regulation During Head-up Tilt. In W. Backfrieder, A. Bruzzone, F. Longo, V. Novak, & J. Rosen (Eds.), Proceeding of The 1st international workshop on innovative simulation for healthcare, I-WISH (pp. 81–86).

Banks, H. T., Bliss, K. M., & Tran, H. (2012). Modeling Red Blood Cell and Iron Dynamics in Patients with Chronic Kidney Disease. International Journal of Pure and Applied Mathematics, 75(1), 103–140.

Special Issue on Fluid Motion Driven by Immersed Structures. (2012). In Global Sciences. Retrieved from https://www.researchgate.net/publication/296762774_Special_Issue_on_Fluid_Motion_Driven_by_Immersed_Structures_Preface

SPECIAL ISSUE ON FLUID DYNAMICS, ANALYSIS AND NUMERICS. (2012).

Medvinsky, M., Tsynkov, S., & Turkel, E. (2012). Erratum to: The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes. Journal of Scientific Computing, 53(2), 482–482. https://doi.org/10.1007/S10915-012-9638-Z

Banks, H. T., & Clayton Thompson, W. (2012). Mathematical Models of Dividing Cell Populations: Application to CFSE Data. Mathematical Modelling of Natural Phenomena, 7(5), 24–52. https://doi.org/10.1051/mmnp/20127504

Banks, H. T., & Hu, S. (2012). Propagation of Growth Uncertainty in a Physiologically Structured Population. Mathematical Modelling of Natural Phenomena, 7(5), 7–23. https://doi.org/10.1051/mmnp/20127503

Banks, H. T., Bocharov, G., Grossman, Z., & Meyerhans, A. (2012). Preface. Distributed Parameter Systems in Immunology. Mathematical Modelling of Natural Phenomena, 7(5), 1–3. https://doi.org/10.1051/mmnp/20127501

Kelley, C. T., & Tuminaro, R. (2012). Research Spotlights: New Opportunities for SIAM Review Authors. SIAM News.

Willert, J., Kelley, C. T., Knoll, D. A., Dong, H., Ravishankar, M., Sathre, P., … Taitano, W. (2012). Hybrid Deterministic/Monte Carlo Neutronics using GPU Accelerators. In Q. Guo & C. Douglas (Eds.), 2012 International Symposium on Distributed Computing and Applications to Business, Engineering and Science (pp. 43–47). Los Alamitos, CA: IEEE.

Benner, P., Embree, M., Lehoucq, R. B., & Kelley, C. T. (2012). A Mathematical Biography of {Danny C. Sorensen}. LAA, 436, 2717–2724.

Mokrauer, D., Kelley, C. T., & Bykhovski, A. (2012). Simulations of Light-Induced Molecular Transformations in Multiple Dimensions with Incremental Sparse Surrogates. J. Algorithms Comp Tech, Vol. 6, pp. 577–592.

Winton, C., Kelley, C. T., Eslinger, O. J., Hensley, J., & Hines, A. (2012). Inexact Levenberg-Marquardt with Reduced Order Models. Water Resources Research.

Mokrauer, D., & Kelley, C. (2012, July). Sparse interpolatory reduced-order models for simulation of light-induced molecular transformations. Optimization Methods and Software, Vol. 29, pp. 1–10. https://doi.org/10.1080/10556788.2012.693928

Mokrauer, D., Kelley, C. T., & Bykhovski, A. (2012). Simulations of Light-Induced Molecular Transformations in Multiple Dimensions with Incremental Sparse Surrogates. Journal of Algorithms & Computational Technology, 6(4), 577–592. https://doi.org/10.1260/1748-3018.6.4.577

Chertock, A., Liu, J.-G., & Pendleton, T. (2012). Convergence Analysis of the Particle Method for the Camassa-Holm Equation. In Series in Contemporary Applied Mathematics (Vol. 18, pp. 365–373). https://doi.org/10.1142/9789814417099_0033

Chertock, A., Fellner, K., Kurganov, A., Lorz, A., & Markowich, P. A. (2012). Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Journal of Fluid Mechanics, 694, 155–190. https://doi.org/10.1017/jfm.2011.534

Banks, H. T. (2012). A functional analysis framework for modeling, estimation, and control in science and engineering. https://doi.org/10.1201/b12209

Crews, J. H., & Smith, R. (2012). Density function optimization for the homogenized energy model of shape memory alloys. Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems (SMASIS 2011), vol 1, 371–379. https://doi.org/10.1115/smasis2011-5036

Hu, Z. Z., & Smith, R. (2012). A strain model for piezoelectric materials operating in highly hysteretic regimes. Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent systems (SMASIS 2011), vol 2, 241–249. https://doi.org/10.1115/smasis2011-5073

Caraus, I., & Li, Z. (2012). Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Holder Spaces. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 4(6), 737–750. https://doi.org/10.4208/aamm.12-12s04

Willert, J., Kelley, C. T., Knoll, D. A., Dong, H., Ravishankar, M., Sathre, P., … Taitano, W. (2012). Hybrid Deterministic/Monte Carlo Neutronics using GPU Accelerators. 2012 11TH INTERNATIONAL SYMPOSIUM ON DISTRIBUTED COMPUTING AND APPLICATIONS TO BUSINESS, ENGINEERING & SCIENCE (DCABES), pp. 43–47. https://doi.org/10.1109/dcabes.2012.37

Medvinsky, M., Tsynkov, S., & Turkel, E. (2012). The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes. JOURNAL OF SCIENTIFIC COMPUTING, 53(1), 150–193. https://doi.org/10.1007/s10915-012-9602-y

Banks, H. T., Tompson, W. C., Peligero, C., Giest, S., Argilaguet, J., & Meyerhans, A. (2012). A DIVISION-DEPENDENT COMPARTMENTAL MODEL FOR COMPUTING CELL NUMBERS IN CFSE-BASED LYMPHOCYTE PROLIFERATION ASSAYS. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 9(4), 699–736. https://doi.org/10.3934/mbe.2012.9.699

Banks, H. T., Hu, S., Joyner, M., Broido, A., Canter, B., Gayvert, K., & Link, K. (2012). A COMPARISON OF COMPUTATIONAL EFFICIENCIES OF STOCHASTIC ALGORITHMS IN TERMS OF TWO INFECTION MODELS. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 9(3), 487–526. https://doi.org/10.3934/mbe.2012.9.487

Banks, H. T., Hu, S., Jang, T., & Kwon, H.-D. (2012). Modelling and optimal control of immune response of renal transplant recipients. JOURNAL OF BIOLOGICAL DYNAMICS, 6(2), 539–567. https://doi.org/10.1080/17513758.2012.655328

Crews, J. H., Smith, R. C., Pender, K. M., Hannen, J. C., & Buckner, G. D. (2012). Data-driven techniques to estimate parameters in the homogenized energy model for shape memory alloys. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 23(17), 1897–1920. https://doi.org/10.1177/1045389x12453965

Hu, Z., Smith, R. C., & Ernstberger, J. (2012). The homogenized energy model for characterizing polarization and strains in hysteretic ferroelectric materials: Implementation algorithms and data-driven parameter estimation techniques. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 23(16), 1869–1894. https://doi.org/10.1177/1045389x12453968

Smith, R. C., & Hu, Z. (2012). Homogenized energy model for characterizing polarization and strains in hysteretic ferroelectric materials: Material properties and uniaxial model development. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 23(16), 1833–1867. https://doi.org/10.1177/1045389x12453967

Banks, H. T., Kenz, Z. R., & Thompson, W. C. (2012). A review of selected techniques in inverse problem nonparametric probability distribution estimation. Journal of Inverse and Ill-Posed Problems, 20(4), 429–460.

Gilman, M., Smith, E., & Tsynkov, S. (2012). A linearized inverse scattering problem for the polarized waves and anisotropic targets. Inverse Problems, 28(8), 085009. https://doi.org/10.1088/0266-5611/28/8/085009

Banks, H. T., & Criner, A. K. (2012). Thermal based methods for damage detection and characterization in porous materials. Inverse Problems, 28(6), 065021. https://doi.org/10.1088/0266-5611/28/6/065021

Wan, X., & Li, Z. (2012). SOME NEW FINITE DIFFERENCE METHODS FOR HELMHOLTZ EQUATIONS ON IRREGULAR DOMAINS OR WITH INTERFACES. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 17(4), 1155–1174. https://doi.org/10.3934/dcdsb.2012.17.1155

Avery, M., Banks, H. T., Basu, K., Cheng, Y. S., Eager, E., Khasawinah, S., … Rehm, K. L. (2012). Experimental design and inverse problems in plant biological modeling. Journal of Inverse and Ill-Posed Problems, 20(2), 169–191.

Ho, J., Li, Z., & Lubkin, S. R. (2012). AN AUGMENTED IMMERSED INTERFACE METHOD FOR MOVING STRUCTURES WITH MASS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 17(4), 1175–1184. https://doi.org/10.3934/dcdsb.2012.17.1175

Ito, K., Li, Z., & Qiao, Z. (2012). The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 4(1), 21–35. https://doi.org/10.4208/aamm.11-m1110

Benner, P., Embree, M., Lehoucq, R. B., & Kelley, C. T. (2012, April 15). A mathematical biography of Danny C. Sorensen Preface. LINEAR ALGEBRA AND ITS APPLICATIONS, Vol. 436, pp. 2717–2724. https://doi.org/10.1016/j.laa.2012.01.031

Layton, A., Stockie, J., Li, Z. L., & Huang, H. X. (2012). Special issue on fluid motion driven by immersed structures preface. Communications in Computational Physics, 12(2), I-.

Li, Z., & Song, P. (2012). An Adaptive Mesh Refinement Strategy for Immersed Boundary/Interface Methods. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 12(2), 515–527. https://doi.org/10.4208/cicp.070211.150811s

Hou, S., Li, Z., Wang, L., & Wang, W. (2012). A Numerical Method for Solving Elasticity Equations with Interfaces. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 12(2), 595–612. https://doi.org/10.4208/cicp.160910.130711s

Banks, H. T., Holm, K. J., & Kappel, F. (2012). A Monte Carlo based analysis of optimal design criteria. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 20(1), 1–37. https://doi.org/10.1515/jip-2012-0201

McMahan, J. A., & Smith, R. C. (2012). Sliding Mode Control Design for Hysteretic Ferroelectric Materials. BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES 2012, Vol. 8342. https://doi.org/10.1117/12.914631

Crews, J. H., & Smith, R. C. (2012). Modeling and Bayesian Parameter Estimation for Shape Memory Alloy Bending Actuators. BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES 2012, Vol. 8342. https://doi.org/10.1117/12.914792

Hu, Z., Smith, R. C., & Ernstberger, J. M. (2012, May 1). Data-driven techniques to estimate parameters in a rate-dependent ferromagnetic hysteresis model. PHYSICA B-CONDENSED MATTER, Vol. 407, pp. 1394–1398. https://doi.org/10.1016/j.physb.2011.06.084

Banks, H. T., & Hu, S. (2012). A zero-sum electromagnetic evader-interrogator differential game with uncertainty. APPLICABLE ANALYSIS, 91(4), 645–674. https://doi.org/10.1080/00036811.2012.667081

Chertock, A., Kurganov, A., Wang, X., & Wu, Y. (2012). ON A CHEMOTAXIS MODEL WITH SATURATED CHEMOTACTIC FLUX. KINETIC AND RELATED MODELS, 5(1), 51–95. https://doi.org/10.3934/krm.2012.5.51

Chertock, A., Du Toit, P., & Marsden, J. E. (2012). INTEGRATION OF THE EPDIFF EQUATION BY PARTICLE METHODS. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 46(3), 515–534. https://doi.org/10.1051/m2an/2011054

Chertock, A., Liu, J.-G., & Pendleton, T. (2012). CONVERGENCE OF A PARTICLE METHOD AND GLOBAL WEAK SOLUTIONS OF A FAMILY OF EVOLUTIONARY PDES. SIAM JOURNAL ON NUMERICAL ANALYSIS, 50(1), 1–21. https://doi.org/10.1137/110831386

Petropavlovsky, S. V., & Tsynkov, S. V. (2012). A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell’s equations. Journal of Computational Physics, 231(2), 558–585. https://doi.org/10.1016/j.jcp.2011.09.019