Center for Research in Scientific Computation - 2003

Li, Z., Lin, X., Torres, M., & Zhao, H. (2003). Generalized Snell's Law for Weighted Minimal Surface in Heterogeneous Media. Methods and Applications of Analysis, 10(2), 199–214. https://doi.org/10.4310/maa.2003.v10.n2.a3

Li, Z., & Wang, C. (2003). A Fast Finite Differenc Method For Solving Navier-Stokes Equations on Irregular Domains. Communications in Mathematical Sciences, 1(1), 180–196. https://doi.org/10.4310/cms.2003.v1.n1.a11

Banks, H. T., Beeler, S. C., & Tran, H. T. (2003). State Estimation and Tracking Control of Nonlinear Dynamical Systems. In W. Desch, F. Kappel, & K. Kunisch (Eds.), Control and Estimation of Distributed Parameter Systems (pp. 1–24). https://doi.org/10.1007/978-3-0348-8001-5_1

Banks, H. T., Tran, H., & Wynne, S. (2003). A well-posedness Result for a Shear Wave Propagation Model. In Control and Estimation of Distributed Parameter Systems (pp. 25–40). https://doi.org/10.1007/978-3-0348-8001-5_2

Bui, T., Vogler, B., Ives, L., Shephard, M., Klaas, O., Remacle, J.-F., … Tran, H. (2003). Beam optics analysis - a 3D finite element charged particle code with adaptive meshing. Third IEEE International Vacuum Electronics Conference (IEEE Cat. No.02EX524). Presented at the Third IEEE International Vacuum Electronics Conference. https://doi.org/10.1109/ivelec.2002.999314

Kapraun, D., Tran, H., Ives, R. L., Vogler, W., & Bui, T. (2003). SCATTER - a new computer code for modeling reflected electrons from surfaces. Third IEEE International Vacuum Electronics Conference (IEEE Cat. No.02EX524). Presented at the Third IEEE International Vacuum Electronics Conference. https://doi.org/10.1109/ivelec.2002.999300

Tsynkov, S. V. (2003). Artificial Boundary Conditions for the Numerical Simulation of
                   Unsteady Electromagnetic Waves (No. CRSC–TR03–19). Retrieved from Center for Research in Scientific Computation, North Carolina State University website: https://stsynkov.math.ncsu.edu/publications/a34p.ncsu.pdf

Tsynkov, S. V. (2003). Lacunae-Based Artificial Boundary Conditions for the Numerical Simulation
             of Unsteady Waves Governed by Vector Models. In G. C. Cohen, E. Heikkola, P. Joly, & P. Neittaanmäki (Eds.), Mathematical
             and Numerical Aspects of Wave Propagation --- WAVES 2003,
             The Sixth International Conference, Jyväskylä, Finland, June 30 -- July 4, 2003.
             Proceedings (pp. 103–108). Retrieved from https://stsynkov.math.ncsu.edu/publications/waves2003p.pdf

Lasater, M. S., Kelley, C. T., Zhao, P., & Woolard, D. L. (2003). Numerical Tools for the Study of Instabilities within the Positive-Differential-Resistance Regions of Tunnelling Devices. Proceedings of 2003 3nd IEEE Conference on Nanotechnology, San Francisco, CA, August 12--14, 2003, (CRSC-TR03-23), 390–393. IEEE.

Kelley, C. T. (2003). Solving Nonlinear Equations with Newton's Method. Philadelphia: SIAM.

Coffey, T. S., McMullan, R. J., Kelley, C. T., & McRae, D. S. (2003). Globally Convergent Algorithms for Nonsmooth Nonlinear Equations in Computational Fluid Dynamics. J. Comp. Appl. Math., 152, 69–81.

Kelley, C. T. (2003). Implicit filtering and nonlinear least squares problems. In E. W. Sachs & R. Tichatschke (Eds.), System Modeling and Optimization XX (pp. 71–90). Dordrecht: Kluwer Academic Publishers.

Kelley, C. T. (2003). Implicit filtering and nonlinear least squares problems. In E. W. Sachs & R. Tichatschke (Eds.), System Modeling and Optimization XX (No. CRSC-TR01-17; pp. 71–90). Dordrecht: Kluwer Academic Publishers.

Mayer, A. S., Kelley, C. T., & Miller, C. T. (2003). Electronic Supplement to ``{O}ptimal Design for Problems Involving Flow and Transport Phenomena in Saturated Subsurface Systems''.

Smith, R., & Demetriou, M. (2003). Research Directions in Distributed Parameter Systems (R. C. Smith & M. A. Demetriou, Eds.). https://doi.org/10.1137/1.9780898717525

Ilan, B., Fibich, G., & Tsynkov, S. (2003). Backscattering and Nonparaxiality Arrest Collapse of Damped Nonlinear Waves. SIAM Journal on Applied Mathematics, 63(5), 1718–1736. https://doi.org/10.1137/S0036139902411855

Tsynkov, S. V. (2003). Artificial boundary conditions for the numerical simulation of unsteady acoustic waves. Journal of Computational Physics, 189(2), 626–650. https://doi.org/10.1016/S0021-9991(03)00249-3

Smith, R. C., Seelecke, S., Ounaies, Z., & Smith, J. (2003). A Free Energy Model for Hysteresis in Ferroelectric Materials. Journal of Intelligent Material Systems and Structures, 14(11), 719–739. https://doi.org/10.1177/1045389X03038841

Massad, J. E., & Smith, R. (2003). A  domain wall model for hysteresis in ferroelastic materials. Journal of Intelligent Material Systems and Structures, 14(7), 455–471. https://doi.org/10.1177/104538903035235

Yang, X. Z., Li, B., & Li, Z. L. (2003). The  immersed interface method for elasticity problems with interfaces. Dynamics of Continuous, Discrete & Impulsive Systems. Series A, Mathematical Analysis, 10(5), 783–808.

Loncaric, J., & Tsynkov, S. V. (2003). Optimization of Acoustic Source Strength in the Problems of Active Noise Control. SIAM Journal on Applied Mathematics, 63(4), 1141–1183. https://doi.org/10.1137/S0036139902404220

Banks, H. T., & Castillo-Chavez, C. (2003). Bioterrorism: Mathematical modeling applications in homeland security. Philadelphia, PA: Society for Industrial and Applied Mathematics.

Banks, H. T., Bortz, D. M., & Holte, S. E. (2003). Incorporation of variability into the modeling of viral delays in HIV infection dynamics. MATHEMATICAL BIOSCIENCES, 183(1), 63–91. https://doi.org/10.1016/S0025-5564(02)00218-3

Pinter, G. A. (2003). Global attractor for damped abstract nonlinear hyperbolic systems. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 53(5), 653–668. https://doi.org/10.1016/S0362-546X(02)00264-X

Irizarry, M. D. A., Kuhl, M. E., Lada, E. K., Subramanian, S., & Wilson, J. R. (2003). Analyzing transformation-based simulation metamodels. IIE Transactions, 35(3), 271–283. https://doi.org/10.1080/07408170390175495

Kelley, C. T., & Sachs, E. W. (2003). Truncated Newton methods for optimization with inaccurate functions and gradients. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 116(1), 83–98. https://doi.org/10.1023/A:1022110219090

Li, Z. L., Wang, W. C., Chern, I. L., & Lai, M. C. (2003). New formulations for interface problems in polar coordinates. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 25(1), 224–245. https://doi.org/10.1137/S106482750139618X

Kees, C. E., Miller, C. T., Jenkins, E. W., & Kelley, C. T. (2003). Versatile two-level Schwarz preconditioners for multiphase flow. COMPUTATIONAL GEOSCIENCES, 7(2), 91–114. https://doi.org/10.1023/A:1023514922877

Li, Z. L., Lin, T., & Wu, X. H. (2003). New Cartesian grid methods for interface problems using the finite element formulation. NUMERISCHE MATHEMATIK, 96(1), 61–98. https://doi.org/10.1007/s00211-003-0473-x

Lončarić, J., & Tsynkov, S. (2003). Optimization in the Context of Active Control of Sound. In Computational Science and Its Applications — ICCSA 2003 (Vol. 2668, pp. 801–810). https://doi.org/10.1007/3-540-44843-8_87

Nguyen, T. M., Yoh, J., Lee, C. H., Tran, H. T., & Johnson, D. M. (2003). Modeling of HPA and HPA linearization through a predistorter: Global Broadcasting Service applications. IEEE TRANSACTIONS ON BROADCASTING, 49(2), 132–141. https://doi.org/10.1109/TBC.2003.813650

Chertock, A., Kurganov, A., & Rosenau, P. (2003). Formation of discontinuities in flux-saturated degenerate parabolic equations. NONLINEARITY, 16(6), 1875–1898. https://doi.org/10.1088/0951-7715/16/6/301

Farthing, M. W., Kees, C. E., Coffey, T. S., Kelley, C. T., & Miller, C. T. (2003). Efficient steady-state solution techniques for variably saturated groundwater flow. ADVANCES IN WATER RESOURCES, 26(8), 833–849. https://doi.org/10.1016/S0309-1708(03)00076-9

Tsynkov, S. V. (2003). Journal of Scientific Computing, 18(2), 155–189. https://doi.org/10.1023/A:1021111713715

Deng, S. Z., Ito, K., & Li, Z. L. (2003). Three-dimensional elliptic solvers for interface problems and applications. JOURNAL OF COMPUTATIONAL PHYSICS, 184(1), 215–243. https://doi.org/10.1016/S0021-9991(02)00028-1

Kanney, J. F., Miller, C. T., & Kelley, C. T. (2003). Convergence of iterative split-operator approaches for approximating nonlinear reactive transport problems. ADVANCES IN WATER RESOURCES, 26(3), 247–261. https://doi.org/10.1016/S0309-1708(02)00162-8

Banks, H. T., Furati, K. M., Ito, K., Luke, N. S., & Smith, C. J. (2003). Acoustic attenuation employing variable wall admittance. Directions in Mathematical Systems Theory and Optimization  (Lecture Notes in Control and Information Sciences; 286), (2003), 15–26.

Smith, R. C., Dapino, M. J., & Seelecke, S. (2003). Free energy model for hysteresis in magnetostrictive transducers. JOURNAL OF APPLIED PHYSICS, 93(1), 458–466. https://doi.org/10.1063/1.1524312

Coffey, T., McMullan, R. J., Kelley, C. T., & McRae, D. S. (2003, March 1). Globally convergent algorithms for nonsmooth nonlinear equations in computational fluid dynamics. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. 152, pp. 69–81. https://doi.org/10.1016/S0377-0427(02)00697-0

Banks, H. T., & Pinter, G. A. (2003). Maxwell-systems with nonlinear polarization. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 4(3), 483–501. https://doi.org/10.1016/S1468-1218(02)00074-3

Whitaker, S. Y., Tran, H. T., & Portier, C. J. (2003). Development of a biologically-based controlled growth and differentiation model for developmental toxicology. JOURNAL OF MATHEMATICAL BIOLOGY, 46(1), 1–16. https://doi.org/10.1007/s00285-002-0164-8

Ito, K., & Li, Z. L. (2003). Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method. JOURNAL OF SCIENTIFIC COMPUTING, 19(1-3), 253–266. https://doi.org/10.1023/A:1025356025745

Margolin, L. G., Titi, E. S., & Wynne, S. (2003). The postprocessing Galerkin and nonlinear Galerkin methods - A truncation analysis point of view. SIAM JOURNAL ON NUMERICAL ANALYSIS, 41(2), 695–714. https://doi.org/10.1137/S0036142901390500

Coffey, T. S., Kelley, C. T., & Keyes, D. E. (2003). Pseudotransient continuation and differential-algebraic equations. SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol. 25, pp. 553–569. https://doi.org/10.1137/S106482750241044X

Li, Z. (2003). An overview of the immersed interface method and its applications. Taiwanese Journal of Mathematics, 7(1), 1–49. https://doi.org/10.11650/twjm/1500407515