Center for Research in Scientific Computation - 1999

Gao, H., Li, Z., & Zhao, H. (1999). Numerical Study of Two Dimensional Electro-migration. Journal of Computational Physics, 152, 281–304.

Li, Z., & Shen, Y.-Q. (1999). A numerical method for solving heat equations involving interfaces. Electronic Journal of Differential Equations, 3, 100–108.

Gremaud, P., Li, Z., Smith, R., & Tran, H. (Eds.). (1999). Industrial Mathematics Modeling Workshop for Graduate Students series [CRSC Technical Reports].

Tsynkov, S., Abarbanel, S., Nordstrom, J., Ryaben'kii, V., & Vatsa, V. (1999). Global artificial boundary conditions for computation of external flow problems with propulsive jets. 14th Computational Fluid Dynamics Conference, 2, 836–846. https://doi.org/10.2514/6.1999-3351

Ryaben’kii, V. S., Turchaninov, V. I., & Tsynkov, S. V. (1999). Long-Time Numerical Integration of the Three-Dimensional Wave
                    Equation in the Vicinity of a Moving Source (No. 99–23, NASA/CR–1999–209350). Retrieved from ICASE website: https://ntrs.nasa.gov/search.jsp?R=19990062251

The use of lacunae of the 3D-wave equation for computing a
              solution at large time values. (1999). Mat. Model., 11(12), 113–126. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1761052

Choi, T. D., Eslinger, O. J., Gilmore, P., Patrick, A., Kelley, C. T., & Gablonsky, J. M. (1999). IFFCO: Implicit Filtering for Constrained Optimization, Version 2 (No. CRSC-TR99-23). North Carolina State University, Center for Research in Scientific Computation.

Jenkins, E. W., Berger, R. C., Hallberg, J. P., Howington, S. E., Kelley, C. T., Schmidt, J. H., … Tocci, M. D. (1999). {Newton-Krylov-Schwarz} Methods for {R}ichards' Equation (No. CRSC-TR99-32). North Carolina State University, Center for Research in Scientific Computation.

Howington, S. E., Berger, R. C., Hallberg, J. P., Peters, J. F., Stagg, A. K., Jenkins, E. W., & Kelley, C. T. (1999). A Model to Simulate the Interaction between Groundwater and Surface Water. Proceedings of the High Performance Computing Users' Group Meeting, (CRSC-TR99-27). Monterrey, CA.

Ryaben’kii, V. S., Turchaninov, V. I., & Tsynkov, S. V. (1999). On Lacunae-Based Algorithm for Numerical Solution of 3D Wave Equation for Arbitrarily Large Time. Mathematical Modeling, 11(12), 113–127.

Tsynkov, S. V. (1999). External Boundary Conditions for Three-Dimensional Problems of Computational Aerodynamics. SIAM Journal on Scientific Computing, 21(1), 166–206. https://doi.org/10.1137/s1064827597318757

Wiegmann, A., Li, Z., & LeVeque, R. J. (1999). Crack jump conditions for elliptic problems. APPLIED MATHEMATICS LETTERS, 12(6), 81–88. https://doi.org/10.1016/S0893-9659(99)00083-X

Banks, H. T., Pinter, G. A., Potter, L. K., Gaitens, M. J., & Yanyo, L. C. (1999). Modeling of nonlinear hysteresis in elastomers under uniaxial tension. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 10(2), 116–134. https://doi.org/10.1106/8M8M-F8DQ-GJ2V-PGK1

Simon, T. M., Ito, K., Banks, H. T., Reitich, F., & Jolly, M. R. (1999). Estimation of the effective permeability in magnetorheological fluids. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 10(11), 872–879. https://doi.org/10.1106/6KW6-7V12-NRQ3-BW6V

Banks, H. T. (1999). Remarks on well-posedness theorems for damped second-order systems. APPLIED MATHEMATICS LETTERS, 12(6), 21–24. https://doi.org/10.1016/S0893-9659(99)00073-7

Banks, H. T., & Zou, J. (1999). Regularity and approximation of systems arising in electromagnetic interrogation of dielectric materials. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 20(7-8), 609–627. https://doi.org/10.1080/01630569908816914

Kelley, C. T., & Sachs, E. W. (1999). A trust region method for parabolic boundary control problems. SIAM JOURNAL ON OPTIMIZATION, 9(4), 1064–1081. https://doi.org/10.1137/S1052623496308965

Ly, H. V., Reitich, E., Jolly, M. R., Banks, H. T., & Ito, K. (1999). Simulations of particle dynamics in magnetorheological fluids. JOURNAL OF COMPUTATIONAL PHYSICS, 155(1), 160–177. https://doi.org/10.1006/jcph.1999.6335

Smith, R. C., & Hom, C. L. (1999). Domain wall theory for ferroelectric hysteresis. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 10(3), 195–213. https://doi.org/10.1106/LJBM-RW18-MXW1-QXD0

Li, Z., & Putcha, M. (1999). Types of reductive monoids. Journal of Algebra, 221(1), 102–116. https://doi.org/10.1006/jabr.1999.7946

Ewing, R. E., Li, Z. L., Lin, T., & Lin, Y. P. (1999). The immersed finite volume element methods for the elliptic interface problems. MATHEMATICS AND COMPUTERS IN SIMULATION, 50(1-4), 63–76. https://doi.org/10.1016/S0378-4754(99)00061-0

Kelley, C. T. (1999). Detection and remediation of stagnation in the Nelder-Mead algorithm using a sufficient decrease condition. SIAM JOURNAL ON OPTIMIZATION, 10(1), 43–55. https://doi.org/10.1137/S1052623497315203

Straughan, B., & Hutter, K. (1999). A priori bounds and structural stability for double-diffusive convection incorporating the Soret effect. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 455(1983), 767–777. https://doi.org/10.1098/rspa.1999.0334

Banoczi, J. M., & Kelley, C. T. (1999). A fast multilevel algorithm for the solution of nonlinear systems of conductive-radiative heat transfer equations in two space dimensions. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 20(4), 1214–1228. https://doi.org/10.1137/S1064827597322756

Banks, H. T., & Zia, L. L. (1999). Pointwise convergence of approximation schemes for parameter estimation in parabolic equations. APPLIED MATHEMATICS LETTERS, 12(7), 27–30. https://doi.org/10.1016/S0893-9659(99)00097-X

Banks, H. T., & Pinter, G. A. (1999). Approximation results for parameter estimation in a class of abstract nonlinear hyperbolic systems. APPLIED MATHEMATICS LETTERS, 12(6), 129–133. https://doi.org/10.1016/S0893-9659(99)00091-9

Bachmann, K. J., Banks, H. T., Hopfner, C., Kepler, G. M., LeSure, S., McCall, S. D., & Scroggs, J. S. (1999). Optimal design of a high pressure organometallic chemical vapor deposition reactor. MATHEMATICAL AND COMPUTER MODELLING, 29(8), 65–80. https://doi.org/10.1016/S0895-7177(99)00071-0

Choi, T. D., & Kelley, C. T. (1999). Estimates for the Nash-Sofer preconditioner for the reduced Hessian for some elliptic variational inequalities. SIAM JOURNAL ON OPTIMIZATION, 9(2), 327–341. https://doi.org/10.1137/S1052623497323364

Kottler, N. E., Tran, H. T., & Wessell, D. E. (1999). A complete steady state model of solute and water transport in the kidney. MATHEMATICAL AND COMPUTER MODELLING, 29(6), 63–82. https://doi.org/10.1016/S0895-7177(99)00055-2

Collins, J. C., Dunn, J., Emer, P., & Johnson, M. (1999). Data express - Gigabit junction with the next-generation Internet. IEEE SPECTRUM, 36(2), 18–25. https://doi.org/10.1109/6.744872

Li, Z. L., & Soni, B. (1999). Fast and accurate numerical approaches for Stefan problems and crystal growth. NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 35(4), 461–484. https://doi.org/10.1080/104077999275848

Beeler, S., Tran, H. T., & Dietz, N. (1999). Representation of GaP formation by a reduced order surface kinetics model using p-polarized reflectance measurements. JOURNAL OF APPLIED PHYSICS, 86(1), 674–682. https://doi.org/10.1063/1.370783

Li, Z. L., Zhao, H. K., & Gao, H. J. (1999). A numerical study of electro-migration voiding by evolving level set functions on a fixed Cartesian grid. JOURNAL OF COMPUTATIONAL PHYSICS, 152(1), 281–304. https://doi.org/10.1006/jcph.1999.6249

Banks, H. T., & Musante, C. J. (1999). Well-posedness for a class of abstract nonlinear parabolic systems with time delay. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 35(5), 629–648. https://doi.org/10.1016/S0362-546X(98)00053-4

Kelley, C. T. (1999). Iterative Methods for Optimization. https://doi.org/10.1137/1.9781611970920

Morlet, A. C., Lybeck, N. J., & Bowers, K. L. (1999). Convergence of the sinc overlapping domain decomposition method. APPLIED MATHEMATICS AND COMPUTATION, 98(2-3), 209–227. https://doi.org/10.1016/S0096-3003(97)10168-0

Huang, H. X., & Li, Z. L. (1999). Convergence analysis of the immersed interface method. IMA JOURNAL OF NUMERICAL ANALYSIS, 19(4), 583–608. https://doi.org/10.1093/imanum/19.4.583