Center for Research in Scientific Computation - 2000

Gremaud, P., Li, Z., Smith, R., & Tran, H. (Eds.). (2000). Industrial Mathematics Modeling Workshop for Graduate Students Series [CRSC Technical Reports].

Gremaud, P., Li, Z., Smith, R., & Tran, H. (Eds.). (2000). Industrial Mathematics. Philadelphia: SIAM.

Gremaud, P. A., Li, Z., Smith, R. C., & Tran, H. T. (Eds.). (2000). Industrial Mathematics: The 1998 CRSC Workshop. Philadelphia, PA: SIAM Publications.

Industrial Mathematics: The 1998 CRSC Workshop. (2000). SIAM.

Nonreflecting artificial boundary conditions for the
              replacement of rejected equations with gaps. (2000). Mat. Model., 12(12), 108–127. Retrieved from https://mathscinet.ams.org/mathscinet-getitem?mr=1833776

Tsynkov, S., Abarbanel, S., Nordström, J., Ryaben'kii, V., & Vatsa, V. (2000). Global Artificial Boundary Conditions for Computation of External Flows with Jets. AIAA Journal, 38(11), 2014–2022. https://doi.org/10.2514/2.888

Jenkins, E. W., Berger, R. C., Hallberg, J. P., Howington, S. E., Kelley, C. T., Schmidt, J. H., … Tocci, M. D. (2000). A Two-Level Aggregation-Based {Newton-Krylov-Schwarz} Method for Hydrology. In D. E. Keyes, A. Ecer, J. Periaux, & N. Satofuka (Eds.), Parallel Computational Fluid Dynamics 1999 (pp. 257–264). North Holland.

Kelley, C. T. (2000). Broyden Method. In M. Hazenwinkel (Ed.), Encyclopedia of Mathematics: Supplement II (pp. 96–98). Dordrecht: Kluwer.

Ferng, W. R., & Kelley, C. T. (2000). Mesh Independence of Matrix-Free Methods for Path Following. SIAM J. Sci. Comp., 21, 1835–1850.

Kelley, C. T. (2000). {Broyden-Fletcher-Goldfarb-Shanno} Method. In M. Hazenwinkel (Ed.), Encyclopedia of Mathematics: Supplement II (pp. 95–96). Dordrecht: Kluwer.

Miller, C. T., Williams, G. A., & Kelley, C. T. (2000). Transformation Approaches for Simulating Flow in Variably Saturated Porous Media. In Water Resources Research (Vol. 36, pp. 923–934). North Carolina State University, Center for Research in Scientific Computation.

Gremaud, P. A., Li, Z., Smith, R. C., & Tran, H. T. (Eds.). (2000). Industrial Mathematics: The 1998 CRSC Workshop. Philadelphia: SIAM.

Barenblatt, G. I., Bertsch, M., Chertock, A. E., & Prostokishin, V. M. (2000). Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation. Proceedings of the National Academy of Sciences, 97(18), 9844–9848. https://doi.org/10.1073/pnas.97.18.9844

Abarbanel, S. S., & Chertock, A. E. (2000). Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, I. Journal of Computational Physics, 160(1), 42–66. https://doi.org/10.1006/jcph.2000.6420

Abarbanel, S. S., Chertock, A. E., & Yefet, A. (2000). Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, II. Journal of Computational Physics, 160(1), 67–87. https://doi.org/10.1006/jcph.2000.6421

Choi, T. D., Eslinger, O. J., Kelley, C. T., David, J. W., & Etheridge, M. (2000). Optimization of Automotive Valve Train Components with Implict Filtering. Optimization and Engineering, 1, 9–28.

Ryaben’kii, V. S., Turchaninov, V. I., & Tsynkov, S. V. (2000). Non-Reflecting Artificial Boundary Conditions for the Replacement of Truncated Equations with Lacunae. Mathematical Modeling, 12(12), 108–127.

Tsynkov, S., Abarbanel, S., Nordstrom, J., Ryaben'kii, V., & Vasta, V. (2000). Global artificial boundary conditions for computation of external flows with jets. AIAA Journal, 38, 2014–2022. https://doi.org/10.2514/3.14645

Piquette, J. C., & Smith, R. C. (2000). Analysis and comparison of four anhysteretic polarization models for lead magnesium niobate. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 108(4), 1651–1662. https://doi.org/10.1121/1.1310670

Banks, H. T., Musante, C. J., & Raye, J. K. (2000). Approximation methods for inverse problems governed by nonlinear parabolic systems. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 21(7-8), 791–816. https://doi.org/10.1080/01630560008816986

Smith, R. C., & Ounaies, Z. (2000). A domain wall model for hysteresis in piezoelectric materials. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 11(1), 62–79. https://doi.org/10.1177/104538900772664413

Dapino, M. J., Smith, R., Faidley, L. E., & Flatau, A. B. (2000). A coupled structural-magnetic strain and stress model for magnetostrictive transducers. Journal of Intelligent Material Systems and Structures, 11(2), 135–152. https://doi.org/10.1106/MJ6A-FBP9-9M61-0E1F

Beeler, S. C., Tran, H. T., & Banks, H. T. (2000). Feedback control methodologies for nonlinear systems. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 107(1), 1–33. https://doi.org/10.1023/A:1004607114958

Williams, G. A., Miller, C. T., & Kelley, C. T. (2000). Transformation approaches for simulating flow in variably saturated porous media. WATER RESOURCES RESEARCH, 36(4), 923–934. https://doi.org/10.1029/1999WR900349

Batzel, J. J., & Tran, H. T. (2000). Stability of the human respiratory control system II. Analysis of a three-dimensional delay state-space model. JOURNAL OF MATHEMATICAL BIOLOGY, 41(1), 80–102. https://doi.org/10.1007/s002850000045

Batzel, J. J., & Tran, H. T. (2000). Stability of the human respiratory control system I. Analysis of a two-dimensional delay state-space model. JOURNAL OF MATHEMATICAL BIOLOGY, 41(1), 45–79. https://doi.org/10.1007/s002850000044

Byrnes, C. I., Lauko, I. G., Gilliam, D. S., & Shubov, V. I. (2000). Output regulation for linear distributed parameter systems. IEEE Transactions on Automatic Control, 45(12), 2236–2252.

Kepler, G. M., Tran, H. T., & Banks, H. T. (2000). Reduced order model compensator control of species transport in a CVD reactor. OPTIMAL CONTROL APPLICATIONS & METHODS, 21(4), 143–160. https://doi.org/10.1002/1099-1514(200007/08)21:4<143::AID-OCA671>3.0.CO;2-Y

Batzel, J. J., & Tran, H. T. (2000). [Review of Modeling instability in the control system for human respiration: applications to infant non-REM sleep]. APPLIED MATHEMATICS AND COMPUTATION, 110(1), 1–51. https://doi.org/10.1016/s0096-3003(99)00112-5

Calkins, F. T., Smith, R. C., & Flatau, A. B. (2000). Energy-based hysteresis model for magnetostrictive transducers. IEEE TRANSACTIONS ON MAGNETICS, 36(2), 429–439. https://doi.org/10.1109/20.825804

Choi, T. D., & Kelley, C. T. (2000). Superlinear convergence and implicit filtering. SIAM JOURNAL ON OPTIMIZATION, 10(4), 1149–1162. https://doi.org/10.1137/S1052623499354096

Banks, H. T., Rosario, R. C. H., & Smith, R. C. (2000). Reduced-order model feedback control design: Numerical implementation in a thin shell model. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 45(7), 1312–1324. https://doi.org/10.1109/9.867024

Banks, H. T., Joyner, M. L., Wincheski, B., & Winfree, W. P. (2000). Nondestructive evaluation using a reduced-order computational methodology. INVERSE PROBLEMS, 16(4), 929–945. https://doi.org/10.1088/0266-5611/16/4/304

Dapino, M. J., Smith, R. C., & Flatau, A. B. (2000). Structural magnetic strain model for magnetostrictive transducers. IEEE TRANSACTIONS ON MAGNETICS, 36(3), 545–556. https://doi.org/10.1109/20.846217

Browning, B. L. (2000). Time and frequency domain scattering for the one-dimensional wave equation. INVERSE PROBLEMS, 16(5), 1377–1403. https://doi.org/10.1088/0266-5611/16/5/315

Chandrasekaran, S., Lindner, D. K., & Smith, R. C. (2000). Optimized design of switching amplifiers for piezoelectric actuators. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 11(11), 887–901. https://doi.org/10.1106/XFC7-PD82-LDFC-T2R9

Ferng, W. R., & Kelley, C. T. (2000, May 21). Mesh independence of matrix-free methods for path following. SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol. 21, pp. 1835–1850. https://doi.org/10.1137/S1064827598339360