Semiconductor Device Modeling

``Smooth Quantum Hydrodynamic Model vs. NEMO Simulation of Resonant Tunneling Diodes,'' C. L. Gardner, G. Klimeck, and C. Ringhofer, Journal of Computational Electronics 3 (2004) 95-102. PDF

``Dispersive/Hyperbolic Hydrodynamic Models for Quantum Transport (in Semiconductor Devices),'' C. L. Gardner and C. Ringhofer, in Dispersive Transport Equations and Multiscale Models, IMA Volumes in Mathematics and its Applications, Volume 136, pp. 91-106. New York: Springer-Verlag, 2004. PDF

``A Comparison of Resonant Tunneling Based on Schrödinger's Equation and Quantum Hydrodynamics,'' N. Ben Abdallah, O. Pinaud, C. L. Gardner, and C. Ringhofer, VLSI Design 15 (2002) 695-700. PDF

``A Comparison of Modern Hyperbolic Methods for Semiconductor Device Simulation: NTK Central Scheme vs. CLAWPACK,'' C. L. Gardner, A. Gelb, and J. Hernandez, VLSI Design 15 (2002) 721-728. PS or PS.gz

``The Chapman-Enskog Expansion and the Quantum Hydrodynamic Model for Semiconductor Devices,'' C. L. Gardner and C. Ringhofer, VLSI Design 10 (2000) 415-435. PDF

``Resonant Tunneling in the Smooth Quantum Hydrodynamic Model for Semiconductor Devices,'' C. L. Gardner and C. Ringhofer, Transport Theory and Statistical Physics 29 (2000) 563-570. PS or PS.gz

``Numerical Simulation of the Smooth Quantum Hydrodynamic Model for Semiconductor Devices,'' C. L. Gardner and C. Ringhofer, Computer Methods in Applied Mechanics and Engineering 181 (2000) 393-401. PS or PS.gz

Selected Oldies

``Hydrodynamic and Monte Carlo Simulation of an Electron Shock Wave in a One Micrometer n+/n/n+ Diode,'' C. L. Gardner, IEEE Transactions on Electron Devices 40 (1993) 455-457. PDF

``The Quantum Hydrodynamic Model for Semiconductor Devices,'' C. L. Gardner, SIAM Journal on Applied Mathematics 54 (1994) 409-427. PDF

``Quantum Hydrodynamic Simulation of Hysteresis in the Resonant Tunneling Diode,'' Z. Chen, B. Cockburn, C. L. Gardner, and J. W. Jerome, Journal of Computational Physics 117 (1995) 274-280. PS or PS.gz

``Resonant Tunneling in the Quantum Hydrodynamic Model,'' C. L. Gardner, VLSI Design 3 (1995) 201-210. PDF