Center for Research in Scientific Computation - 2001

Gremaud, P., Li, Z., Smith, R., & Tran, H. (Eds.). (2001). Industrial Mathematics Modeling Workshop for Graduate Students Series [CRSC Technical Reports].

Li, Z. (2001). Numerical Method for Simulation of Bubbles Flowing Through Another Fluid. In M. Mu, Z. Shi, W. Xue, & J. Zou (Eds.), Advances in Scientific Computing (pp. 74–81). Beijing: Science Pr.

Li, Z. (2001). Book Review: Generalized Difference Methods for Differential Equations [Review of Generalized Difference Methods for Differential Equations, by Z. Chen, R. Li, & W. Wu]. SIAM Review, 43(1), 203–205,

Tran, H., & Lee, C. H. (2001). Chemical Vapor Deposition Processes: Reduced-order Modeling. In K. H. Jürgen Buschow, M. C. Flemings, E. J. Kramer, P. Veyssière, R. W. Cahn, B. Ilschner, & S. Mahajan (Eds.), Encyclopedia of Materials: Science and Technology (2nd ed., pp. 1183–1187). https://doi.org/10.1016/B0-08-043152-6/00221-7

Banks, H. T., Beeler, S. C., Kepler, G. M., & Tran, H. T. (2001). Feedback control of thin film growth in an HPCVD reactor via reduced order models. Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228). Presented at the 40th Conference on Decision and Control. https://doi.org/10.1109/cdc.2001.981123

Banks, H. T., & Tran, H. T. (2001). Reduced Order Based Compensator Control of Thin Film Growth in a CVD Reactor. In Optimal Control of Complex Structures (pp. 1–17). https://doi.org/10.1007/978-3-0348-8148-7_1

Tsynkov, S. V., & Turkel, E. (2001). A Cartesian Perfectly Matched Layer for the
                   ̆ppercaseHelmholtz Equation. In Tourrette Loı̈c & L. Halpern (Eds.), Absorbing Boundaries and Layers, Domain Decomposition Methods.
                   ̆ppercaseApplications to Large Scale Computations (pp. 279–309). Retrieved from https://stsynkov.math.ncsu.edu/publications/a24e7.pdf

Carter, R., Gablonsky, J. M., Patrick, A., Kelley, C. T., & Eslinger, O. J. (2001). Algorithms for Noisy Problems in Gas Transmission Pipeline Optimization. Optimization and Engineering, 2, 139–157.

Jenkins, E. W., Kelley, C. T., Miller, C. T., & Kees, C. E. (2001). An Aggregation-based Domain Decomposition Preconditioner for Groundwater Flow. SIAM J. Sci. Comp., 23, 430–441.

Mayer, A. S., Kelley, C. T., & Miller, C. T. (2001). Optimal Design for Problems Involving Flow and Transport Phenomena in Saturated Subsurface Systems (No. CRSC-TR01-33). North Carolina State University, Center for Research in Scientific Computation.

Kelley, C. T. (2001). Nonlinear Equations: Contraction-Mapping Principle. In C. A. Floudas & P. M. Pardalos (Eds.), Encyclopedia of Optimization (pp. two pages). Dordrecht: Kluwer.

Tsynkov, S. V., & Turkel, E. (2001). A Cartesian Perfectly Matched Layer for the Helmholtz Equation. In Tourrette Loı̈c & L. Halpern (Eds.), Absorbing Boundaries and Layers, Domain Decomposition Methods. Applications to Large Scale Computations (pp. 279–309). New York: Nova Science Publishers.

Chertock, A., & Levy, D. (2001). Particle Methods for Dispersive Equations. Journal of Computational Physics, 171(2), 708–730. https://doi.org/10.1006/jcph.2001.6803

Fibich, G., & Tsynkov, S. (2001). High-Order Two-Way Artificial Boundary Conditions for Nonlinear Wave Propagation with Backscattering. Journal of Computational Physics, 171(2), 632–677. https://doi.org/10.1006/jcph.2001.6800

Loncaric, J., Ryaben'kii, V. S., & Tsynkov, S. V. (2001). Active Shielding and Control of Noise. SIAM Journal on Applied Mathematics, 62(2), 563–596. https://doi.org/10.1137/s0036139900367589

Li, Z. L., & Lubkin, SR. (2001). Numerical analysis of interfacial two-dimensional Stokes flow with discontinuous viscosity and variable surface tension. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 37(5), 525–540. https://doi.org/10.1002/fld.185

Ito, K., Kunisch, K., & Li, Z. L. (2001). Level-set function approach to an inverse interface problem. INVERSE PROBLEMS, 17(5), 1225–1242. https://doi.org/10.1088/0266-5611/17/5/301

Ryaben'kii, V. S., Tsynkov, S. V., & Turchaninov, V. I. (2001). Global Discrete Artificial Boundary Conditions for Time-Dependent Wave Propagation. Journal of Computational Physics, 174(2), 712–758. https://doi.org/10.1006/jcph.2001.6936

Roberts, T. W., Sidilkover, D., & Tsynkov, S. (2001). On the combined performance of nonlocal artificial boundary conditions with the new generation of advanced multigrid flow solvers. Computers & Fluids, 31(3), 269–308. https://doi.org/10.1016/s0045-7930(01)00045-7

Banks, H. T., Choi, M. G., Durso, SR, & Ito, K. (2001). Nonlinear exothermic contributions to radio-frequency bonding of adhesives. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2(3), 357–386. https://doi.org/10.1016/S0362-546X(00)00110-3

Dietz, N., Beeler, S. C., Schmidt, J. W., & Tran, H. T. (2001). Surface reaction kinetics of Ga1-xInxP growth during pulsed chemical beam epitaxy. APPLIED SURFACE SCIENCE, 178(1-4), 63–74. https://doi.org/10.1016/S0169-4332(01)00302-6

Gablonsky, J. M., & Kelley, C. T. (2001). A locally-biased form of the DIRECT algorithm. JOURNAL OF GLOBAL OPTIMIZATION, 21(1), 27–37. https://doi.org/10.1023/A:1017930332101

Li, Z., & Cai, W. (2001). A Level Set-Boundary Element Method for Simulation of Dynamic Powder Consolidation of Metals. In J. W. L. Vulkov & P. Yalamov (Eds.), Lecture Notes in Computer Science (Vol. 1988, pp. 527–534). https://doi.org/10.1007/3-540-45262-1_62

Ly, H. V., Ito, K., Banks, H. T., Jolly, M. R., & Reitich, F. (2001, March 20). Dynamic simulation of the temporal response of microstructure formation in magnetorheological fluids. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, Vol. 15, pp. 894–903. https://doi.org/10.1142/s0217979201005416

Petzold, L. R., Ascher, U., Banks, H. T., Crowley, J., Gander, W., Greengard, L., … Trefethen, A. (2001). Graduate education in computational science and engineering. SIAM Review, 43(1), 163–177.

Cole, C. E., Tran, H. T., & Schlosser, P. M. (2001). Physiologically based pharmacokinetic modeling of benzene metabolism in mice through extrapolation from in vitro to in vivo. JOURNAL OF TOXICOLOGY AND ENVIRONMENTAL HEALTH-PART A, 62(6), 439–465. https://doi.org/10.1080/00984100150501178

Ryaben'kii, V. S., Tsynkov, S. V., & Turchaninov, V. I. (2001). Long-time numerical computation of wave-type solutions driven by moving sources. Applied Numerical Mathematics, 38(1-2), 187–222. https://doi.org/10.1016/S0168-9274(01)00038-1

Kepler, T. B., & Oprea, M. (2001). Improved inference of mutation rates: I. An integral representation for the Luria-Delbruck distribution. THEORETICAL POPULATION BIOLOGY, 59(1), 41–48. https://doi.org/10.1006/tpbi.2000.1498

Lee, C. H., Reitich, F., Jolly, M. R., & Banks, H. T. (2001). Piecewise linear model for field-responsive fluids. IEEE TRANSACTIONS ON MAGNETICS, 37(1), 558–560. https://doi.org/10.1109/20.914377

Simon, T. M., Reitich, F., Jolly, M. R., Ito, K., & Banks, H. T. (2001). The effective magnetic properties of magnetorheological fluids. MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 273–284. https://doi.org/10.1016/S0895-7177(00)00244-2

Banks, H. T. (2001). Remarks on uncertainty assessment and management in modeling and computation. MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 39–47. https://doi.org/10.1016/S0895-7177(00)00227-2

Banks, H. T., Musante, C. J., & Raye, J. K. (2001). Predictions for a distributed parameter model describing the hepatic processing of 2,3,7,8-TCDD. MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 49–64. https://doi.org/10.1016/S0895-7177(00)00228-4

Ly, H. V., & Tran, H. T. (2001). Modeling and control of physical processes using proper orthogonal decomposition. MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 223–236. https://doi.org/10.1016/S0895-7177(00)00240-5

Smith, R. C. (2001). Inverse compensation for hysteresis in magnetostrictive transducers. MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 285–298. https://doi.org/10.1016/S0895-7177(00)00245-4

Banks, H. T., & Rosario, R. C. H. (2001). Convergence of approximations in feedback control of structures. MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 65–78. https://doi.org/10.1016/S0895-7177(00)00229-6

Jenkins, E. W., Kees, C. E., Kelley, C. T., & Miller, C. T. (2001, August 15). An aggregation-based domain decomposition preconditioner for groundwater flow. SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol. 23, pp. 430–441. https://doi.org/10.1137/S1064827500372274

Lai, M. C., & Li, Z. L. (2001). A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane. APPLIED MATHEMATICS LETTERS, 14(2), 149–154. https://doi.org/10.1016/S0893-9659(00)00127-0

Gremaud, P. A., Kelley, C. T., Royal, T. A., & Coffey, K. A. (2001). On a powder consolidation problem. SIAM J. Appl. Math., 62(1), 1–20. https://doi.org/10.1137/s0036139900368479

Kepler, G. M., Tran, H. T., & Banks, H. T. (2001). Compensator control for chemical vapor deposition film growth using reduced-order design models. IEEE TRANSACTIONS ON SEMICONDUCTOR MANUFACTURING, 14(3), 231–241. https://doi.org/10.1109/66.939820

Li, Z. L., & Lai, M. C. (2001). The immersed interface method for the Navier-Stokes equations with singular forces. JOURNAL OF COMPUTATIONAL PHYSICS, 171(2), 822–842. https://doi.org/10.1006/jcph.2001.6813

Banks, H. T., & Bihari, K. L. (2001). Modelling and estimating uncertainty in parameter estimation. INVERSE PROBLEMS, 17(1), 95–111. https://doi.org/10.1088/0266-5611/17/1/308

Li, Z. L., & Ito, K. (2001). Maximum principle preserving schemes for interface problems with discontinuous coefficients. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 23(1), 339–361. https://doi.org/10.1137/S1064827500370160