Center for Research in Scientific Computation - 2017

Li, Z., Qiao, Z., & Tang, T. (2017). Numerical Solution of Differential Equations. In Cambridge University Press. https://doi.org/10.1017/9781316678725

Tran, H., & Bernstein, A. (2017). Real-Time Implementation of a LQR-Based Controller for the Stabilization of a Double Inverted Pendulum. In S.-long Ao, O. Castillo, C. Douglas, D. D. Feng, & A. Korunsky (Eds.), International MultiConference of Engineers and Computer Scientists : IMECS 2017: 15-17 March, 2017, the Royal Garden Hotel, Kowloon, Hong Kong: Vol. I (pp. 245–250). Hong Kong: Newswood Limited.

Banks, H. T., & Burns, J. A. (2017). Inverse problems and techniques with applications in the biological sciences. Inverse Problems in Science and Engineering, 26(2), 151–151. https://doi.org/10.1080/17415977.2017.1318490

Banks, H. T., Flores, K. B., Langlois, C. R., Serio, T. R., & Sindi, S. S. (2017). Estimating the rate of prion aggregate amplification in yeast with a generation and structured population model. Inverse Problems in Science and Engineering, 26(2), 257–279. https://doi.org/10.1080/17415977.2017.1316498

Rutter, E. M., Banks, H. T., LeBlanc, G. A., & Flores, K. B. (2017). Continuous Structured Population Models for Daphnia magna. Bulletin of Mathematical Biology, 79(11), 2627–2648. https://doi.org/10.1007/S11538-017-0344-8

Amat, S., Li, Z., & Ruiz, J. (2017). On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method. Journal of Scientific Computing, 75(3), 1500–1534. https://doi.org/10.1007/S10915-017-0596-3

Sidle, G., & Tran, H. (2017). Using Multi-Class Classification Methods to Predict Baseball Pitch Types. Journal of Sports Analytics, 4(1), 85–93. https://doi.org/10.3233/JSA-170171

Kelley, C. T. (2017). Implicit filtering and hidden constraints, in Advances and Trends in Optimization with Engineering Applications. In T. Terlaky, M. Anjos, & S. Ahmed (Eds.), MOS-SIAM Series on Optimization (Vol. 24, pp. 507–518). Philadelphia: SIAM.

Banks, H. T., Everett, R. A., Hu, S., Murad, N., & Tran, H. T. (2017). Mathematical and statistical model misspecifications in modelling immune response in renal transplant recipients. Inverse Problems in Science and Engineering, 26(2), 203–222. https://doi.org/10.1080/17415977.2017.1312363

Vienhage, P., Barcomb, H., Marshall, K., Black, W. A., Coons, A., Tran, H. T., … Rogers, B. A. (2017). War-gaming application for future space systems acquisition: MATLAB implementation of war-gaming acquisition models and simulation results. In K. D. Pham & G. Chen (Eds.), Sensors and Systems for Space Applications X. https://doi.org/10.1117/12.2263247

Sawyer, M. E., Tran, H. T., & Evans, M. V. (2017). A physiologically based pharmacokinetic model of vitamin D. Journal of Applied Toxicology, 37(12), 1448–1454. https://doi.org/10.1002/jat.3489

Attarian, A., & Tran, H. (2017). An Optimal Control Approach to Structured Treatment Interruptions for HIV Patients: A Personalized Medicine Perspective. Applied Mathematics, 08(07), 934–955. https://doi.org/10.4236/am.2017.87074

Terlaky, T., Anjos, M., & Ahmed, S. (Eds.). (2017). Implicit Filtering and Hidden Constraints. In Advances and Trends in Optimization with Engineering Applications (pp. 507–508). https://doi.org/10.1137/1.9781611974683.ch38

Gilman, M., & Tsynkov, S. (2017). The Doppler Effect for SAR. Mathematical
             and Numerical Aspects of Wave Propagation WAVES 2017,
             The 13th International Conference, Minneapolis, MN, USA, May 15--19, 2017.
             Book of Abstracts, 369–370. Retrieved from https://stsynkov.math.ncsu.edu/publications/waves_2017_Doppler_v3.pdf

Magura, S., Petropavlovsky, S., Tsynkov, S., & Turkel, E. (2017). High order numerical solution of the Helmholtz
             equation for domains with reentrant corners. Mathematical
             and Numerical Aspects of Wave Propagation WAVES 2017,
             The 13th International Conference, Minneapolis, MN, USA, May 15--19, 2017.
             Book of Abstracts, 367–368. Retrieved from https://stsynkov.math.ncsu.edu/publications/waves2017_Steven_v4.pdf

Britt, S., Tsynkov, S., & Turkel, E. (2017). High order accurate solution of the wave equation by
             compact finite differences and difference potentials. Mathematical
             and Numerical Aspects of Wave Propagation WAVES 2017,
             The 13th International Conference, Minneapolis, MN, USA, May 15--19, 2017.
             Book of Abstracts, 63–64. Retrieved from https://stsynkov.math.ncsu.edu/publications/waves2017_Steven_v4.pdf

Osintcev, M., & Tsynkov, S. (2017). Computational complexity of artificial boundary conditions
             for Maxwell's equations in the FDTD method. Mathematical
             and Numerical Aspects of Wave Propagation WAVES 2017,
             The 13th International Conference, Minneapolis, MN, USA, May 15--19, 2017.
             Book of Abstracts, 275–276. Retrieved from https://stsynkov.math.ncsu.edu/publications/OsTsy_4.pdf

Petropavlovsky, S., Tsynkov, S., & Turkel, E. (2017). An efficient numerical algorithm for the 3D wave equation in domains
             of complex shape. Mathematical
             and Numerical Aspects of Wave Propagation WAVES 2017,
             The 13th International Conference, Minneapolis, MN, USA, May 15--19, 2017.
             Book of Abstracts, 365–366. Retrieved from https://stsynkov.math.ncsu.edu/publications/wavesPetropTsynkov_v3.pdf

Chertock, A., Cui, S., & Kurganov, A. (2017). Hybrid Finite-Volume-Particle Method for Dusty Gas Flows. SMAI Journal of Computational Mathematics, 3, 139–180. https://doi.org/10.5802/smai-jcm.23

Nelson, N., Azmy, Y., Gardner, R. P., Mattingly, J., Smith, R., Worrall, L. G., & Dewji, S. (2017). Validation and uncertainty quantification of detector response functions for a 1″×2″ NaI collimated detector intended for inverse radioisotope source mapping applications. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 410, 1–15. https://doi.org/10.1016/j.nimb.2017.07.015

McMahan, J. A., Jr., Williams, B. J., Smith, R. C., & Malaya, N. (2017). A Linear Regression Framework for the Verification of Bayesian Model Calibration Algorithms. Journal of Verification, Validation and Uncertainty Quantification, 2(2), 021006. https://doi.org/10.1115/1.4037705

Wentworth, M. T., Smith, R. C., & Williams, B. (2017). Bayesian model calibration and uncertainty quantification for an HIV model using adaptive Metropolis algorithms. Inverse Problems in Science and Engineering, 26(2), 233–256. https://doi.org/10.1080/17415977.2017.1312365

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). The start-stop approximation. TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 265–309. https://doi.org/10.1007/978-3-319-52127-5_6

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). The effect of ionospheric anisotropy. TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 217–264. https://doi.org/10.1007/978-3-319-52127-5_5

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). SAR imaging through the Earth's ionosphere. TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 59–161. https://doi.org/10.1007/978-3-319-52127-5_3

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). Conventional SAR imaging. TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 19–57. https://doi.org/10.1007/978-3-319-52127-5_2

Cheng, Y., Chertock, A., & Kurganov, A. (2017). A Simple Finite-Volume Method on a Cartesian Mesh for Pedestrian Flows with Obstacles. In Springer Proceedings in Mathematics & Statistics (Vol. 199, pp. 43–55). https://doi.org/10.1007/978-3-319-57397-7_4

Gilman, M., Smith, E., & Tsynkov, S. (2017). Transionospheric synthetic aperture imaging Introduction. Transionospheric Synthetic Aperture Imaging, 1–17.

Gilman, M., Smith, E., & Tsynkov, S. (2017). Transionospheric Synthetic Aperture Imaging Discussion and outstanding questions. Transionospheric Synthetic Aperture Imaging, 417–431.

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). Transionospheric Synthetic Aperture Imaging. In Applied and Numerical Harmonic Analysis (pp. 1–1). https://doi.org/10.1007/978-3-319-52127-5

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). The effect of ionospheric turbulence. TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 163–215. https://doi.org/10.1007/978-3-319-52127-5_4

Gilman, M., Smith, E., Tsynkov, S., Gilman, M., Smith, E., & Tsynkov, S. (2017). Modeling radar targets beyond the first Born approximation. TRANSIONOSPHERIC SYNTHETIC APERTURE IMAGING, pp. 311–371. https://doi.org/10.1007/978-3-319-52127-5_7

Gilman, M., Smith, E., & Tsynkov, S. (2017). Inverse scattering off anisotropic targets. Transionospheric Synthetic Aperture Imaging, 373–415.

Gilman, M., & Tsynkov, S. (2017). Mathematical analysis of SAR imaging through a turbulent ionosphere (M. D. Todorov, Ed.). https://doi.org/10.1063/1.5007357

Chertock, A. (2017). A Practical Guide to Deterministic Particle Methods. In Handbook of Numerical Analysis (Vol. 18, pp. 177–202). https://doi.org/10.1016/bs.hna.2016.11.004

Miles, P., Leon, L., Smith, R., & Oates, W. (2017). Uncertainty Analysis of Continuum Phase Field Modeling in 180 degrees Domain Wall Structures. BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES 2017, Vol. 10165. https://doi.org/10.1117/12.2260130

Bravo, N., Smith, R. C., & Crews, J. (2017). Surrogate Model Development and Feedforward Control Implementation for PZT Bimorph Actuators Employed for Robobee. BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES 2017, Vol. 10165. https://doi.org/10.1117/12.2259948

Leon, L. S., Smith, R. C., Oates, W. S., & Miles, P. (2017). Global Sensitivity Analysis for a Quantum Informed Ferroelectric Phase Field Model. BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES 2017, Vol. 10165. https://doi.org/10.1117/12.2259945

Smith, R. C., & Zwart, H. (2017). CPDE special section. ANNUAL REVIEWS IN CONTROL, Vol. 44, pp. 183–183. https://doi.org/10.1016/j.arcontrol.2017.09.007

Miles, P., Oates, W., Leon, L., & Smith, R. (2017). Uncertainty analysis of ferroelectric polydomain structures. Proceedings of the asme conference on smart materials adaptive. https://doi.org/10.1115/smasis2017-3916

Leon, L. S., Smith, R., Oates, W. S., & Miles, P. (2017). Identifiability and active subspace analysis for a polydomain ferroelectric phase field model. Proceedings of the asme conference on smart materials adaptive. https://doi.org/10.1115/smasis2017-3845

Bravo, N., Smith, R., & Crews, J. (2017). Data-driven model development and feedback control design for PZT bimorph actuators. Proceedings of the asme conference on smart materials adaptive. https://doi.org/10.1115/smasis2017-3847

Oates, W. S., & Smith, R. (2017). A multi-axial electromechanically-coupled homogenized energy model for ferroelectric materials. Proceedings of the asme conference on smart materials adaptive. https://doi.org/10.1115/smasis2017-3848

Gao, W., Oates, W. S., & Smith, R. (2017). A maximum entropy approach for uncertainty quantification and analysis of multifunctional materials. Proceedings of the asme conference on smart materials adaptive. https://doi.org/10.1115/smasis2017-3919

Toth, A., Ellis, J. A., Evans, T., Hamilton, S., Kelley, C. T., Pawlowski, R., & Slattery, S. (2017). Local Improvement Results for Anderson Acceleration with Inaccurate Function Evaluations. SIAM Journal on Scientific Computing, 39(5), S47–S65. https://doi.org/10.1137/16m1080677

Qin, F., Wang, Z., Ma, Z., & Li, Z. (2017). ACCURATE GRADIENT COMPUTATIONS AT INTERFACES USING FINITE ELEMENT METHODS. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 27(3), 527–537. https://doi.org/10.1515/amcs-2017-0037

Li, Z., & Qin, F. (2017). An Augmented Method for 4th Order PDEs with Discontinuous Coefficients. JOURNAL OF SCIENTIFIC COMPUTING, 73(2-3), 968–979. https://doi.org/10.1007/s10915-017-0487-7

Banks, H. T., Bekele-Maxwell, K., Bociu, L., Noorman, M., & Guidoboni, G. (2017). SENSITIVITY ANALYSIS IN PORO-ELASTIC AND PORO-VISCO-ELASTIC MODELS WITH RESPECT TO BOUNDARY DATA. QUARTERLY OF APPLIED MATHEMATICS, 75(4), 697–735. https://doi.org/10.1090/qam/1475

Angot, P., & Li, Z. L. (2017). An augmented IIM & preconditioning technique for jump embedded boundary conditions. International Journal of Numerical Analysis and Modeling, 14(4-5), 712–729.

Ştefănescu, R., Schmidt, K., Hite, J., Smith, R. C., & Mattingly, J. (2017). Hybrid optimization and Bayesian inference techniques for a non-smooth radiation detection problem. International Journal for Numerical Methods in Engineering, 111(10), 955–982. https://doi.org/10.1002/nme.5491

Banks, H. T., & Joyner, M. L. (2017). AIC under the framework of least squares estimation. APPLIED MATHEMATICS LETTERS, 74, 33–45. https://doi.org/10.1016/j.aml.2017.05.005

Magura, S., Petropavlovsky, S., Tsynkov, S., & Turkel, E. (2017). High-order numerical solution of the Helmholtz equation for domains with reentrant corners. Applied Numerical Mathematics, 118, 87–116. https://doi.org/10.1016/j.apnum.2017.02.013

Mandi, A., Rutter, E. M., & Payne, S. J. (2017). Effects of non-physiological blood pressure artefacts on cerebral autoregulation. MEDICAL ENGINEERING & PHYSICS, 47, 218–221. https://doi.org/10.1016/j.medengphy.2017.06.007

Hamilton, F., Setzer, B., Chavez, S., Tran, H., & Lloyd, A. L. (2017). Adaptive filtering for hidden node detection and tracking in networks. Chaos (Woodbury, N.Y.), 27(7).

Banks, H. T., Banks, J. E., Rosenheim, J., & Tillman, K. (2017). Modelling populations of Lygus hesperus on cotton fields in the San Joaquin Valley of California: the importance of statistical and mathematical model choice. JOURNAL OF BIOLOGICAL DYNAMICS, 11(1), 25–39. https://doi.org/10.1080/17513758.2016.1143533

Banks, H. T., Banks, J. E., Bommarco, R., Laubmeier, A. N., Myers, N. J., Rundlof, M., & Tillman, K. (2017). Modeling bumble bee population dynamics with delay differential equations. ECOLOGICAL MODELLING, 351, 14–23. https://doi.org/10.1016/j.ecolmodel.2017.02.011

Banks, H. T., Bekele-Maxwell, K., Everett, R. A., Stephenson, L., Shao, S., & Morgenstern, J. (2017). Dynamic Modeling of Problem Drinkers Undergoing Behavioral Treatment. BULLETIN OF MATHEMATICAL BIOLOGY, 79(6), 1254–1273. https://doi.org/10.1007/s11538-017-0282-5

Banks, H. T., Bekele-Maxwell, K., Bociu, L., & Wang, C. (2017). SENSITIVITY VIA THE COMPLEX-STEP METHOD FOR DELAY DIFFERENTIAL EQUATIONS WITH NON-SMOOTH INITIAL DATA. QUARTERLY OF APPLIED MATHEMATICS, 75(2), 231–248. https://doi.org/10.1090/qam/1458

Petropavlovsky, S., & Tsynkov, S. (2017). Non-deteriorating time domain numerical algorithms for Maxwell's electrodynamics. Journal of Computational Physics, 336, 1–35. https://doi.org/10.1016/j.jcp.2017.01.068

Chertock, A., Degond, P., & Neusser, J. (2017). An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations. JOURNAL OF COMPUTATIONAL PHYSICS, 335, 387–403. https://doi.org/10.1016/j.jcp.2017.01.030

Huang, P., & Li, Z. (2017). A Uniformly Stable Nonconforming FEM Based on Weighted Interior Penalties for Darcy-Stokes-Brinkman Equations. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 10(1), 22–43. https://doi.org/10.4208/nmtma.2017.m1610

Rutter, E. M., Stepien, T. L., Anderies, B. J., Plasencia, J. D., Woolf, E. C., Scheck, A. C., … Kostelich, E. J. (2017). Mathematical Analysis of Glioma Growth in a Murine Model. SCIENTIFIC REPORTS, 7. https://doi.org/10.1038/s41598-017-02462-0

Li, Z., Ji, H., & Chen, X. (2017). ACCURATE SOLUTION AND GRADIENT COMPUTATION FOR ELLIPTIC INTERFACE PROBLEMS WITH VARIABLE COEFFICIENTS. SIAM JOURNAL ON NUMERICAL ANALYSIS, 55(2), 570–597. https://doi.org/10.1137/15m1040244

Iamsasri, T., Guerrier, J., Esteves, G., Fancher, C. M., Wilson, A. G., Smith, R. C., … Jones, J. L. (2017). A Bayesian approach to modeling diffraction profiles and application to ferroelectric materials. Journal of Applied Crystallography, 50(1), 211–220. https://doi.org/10.1107/S1600576716020057

Qin, F., Chen, J., Li, Z., & Cai, M. (2017). A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 73(3), 404–418. https://doi.org/10.1016/j.camwa.2016.11.033

Yan, J., Lai, M.-C., Li, Z., & Zhang, Z. (2017). New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 9(2), 250–271. https://doi.org/10.4208/aamm.2014.m888

Arthur, J. G., Tran, H. T., & Aston, P. (2017). Feasibility of parameter estimation in hepatitis C viral dynamics models. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 25(1), 69–80. https://doi.org/10.1515/jiip-2014-0048

Banks, H. T., Doumic, M., & Kruse, C. (2017). A numerical scheme for the early steps of nucleation-aggregation models. JOURNAL OF MATHEMATICAL BIOLOGY, 74(1-2), 259–287. https://doi.org/10.1007/s00285-016-1026-0

Banks, H. T., Hu, S., & Rosenberg, E. (2017). A dynamical modeling approach for analysis of longitudinal clinical trials in the presence of missing endpoints. APPLIED MATHEMATICS LETTERS, 63, 109–117. https://doi.org/10.1016/j.aml.2016.07.002

Banks, H. T., Collins, E., Flores, K., Pershad, P., Stemkovski, M., & Stephenson, L. (2017). Statistical error model comparison for logistic growth of green algae (Raphidocelis subcapitata). APPLIED MATHEMATICS LETTERS, 64, 213–222. https://doi.org/10.1016/j.aml.2016.09.006