Refereed Publications
Carl L. Gardner

``The 't Hooft-Polyakov Monopole Near the Prasad-Sommerfield Limit,'' C. L. Gardner, Annals of Physics 146 (1983) 129-148.

``Stable Grand-Unified Monopoles With Multiple Dirac Charge,'' C. L. Gardner and J. A. Harvey, Physical Review Letters 52 (1984) 879-882.

``Self-Dual SU(5) Monopole Solutions,'' C. L. Gardner, Physics Letters B 142 (1984) 379-382.

``Supersonic Interface Instabilities of Accelerated Surfaces and Jets,'' C. L. Gardner, Physics of Fluids 29 (1986) 690-695.

``A Study of Chaos and Mixing in Rayleigh-Taylor and Richtmyer-Meshkov Unstable Interfaces,'' C. L. Gardner, J. Glimm, J. Grove, O. McBryan, R. Menikoff, D. H. Sharp, and Q. Zhang, Nuclear Physics B 2 (1987) 441-452.

``The Dynamics of Bubble Growth for Rayleigh-Taylor Unstable Interfaces,'' C. L. Gardner, J. Glimm, O. McBryan, R. Menikoff, D. H. Sharp, and Q. Zhang, Physics of Fluids 31 (1988) 447-465.

``Numerical Methods for the Hydrodynamic Device Model: Subsonic Flow,'' C. L. Gardner, J. W. Jerome, and D. J. Rose, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 8 (1989) 501-507.

``Two Dimensional Process Simulation Using Verified Phenomenological Models,'' R. B. Fair, C. L. Gardner, M. J. Johnson, S. W. Kenkel, D. J. Rose, J. E. Rose, and R. Subrahmanyan, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 10 (1991) 643-651.

``Numerical Simulation of a Steady-State Electron Shock Wave in a Submicrometer Semiconductor Device,'' C. L. Gardner, IEEE Transactions on Electron Devices 38 (1991) 392-398.

``Simulation of a Steady-State Electron Shock Wave in a Submicron Semiconductor Device Using High-Order Upwind Methods,'' E. Fatemi, C. L. Gardner, J. W. Jerome, S. Osher, and D. J. Rose, in Computational Electronics: Semiconductor Transport and Device Simulation, pp. 27-32. Boston: Kluwer Academic Publishers, 1991.

``A Parallel Block Iterative Method for the Hydrodynamic Device Model,'' C. L. Gardner, P. J. Lanzkron, and D. J. Rose, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 10 (1991) 1187-1192.

``Upwind Simulation of a Steady-State Electron Shock Wave in a Submicron Semiconductor Device,'' C. L. Gardner, in Viscous Profiles and Numerical Methods for Shock Waves, pp. 21-31. Philadelphia: SIAM, 1991.

``Steady-State Computations of Granular Flow in an Axisymmetric Hopper,'' F. Wang, C. L. Gardner, and D. G. Schaeffer, SIAM Journal on Applied Mathematics 52 (1992) 1076-1088.

``An Interface Method for Semiconductor Process Simulation,'' M. J. Johnson and C. L. Gardner, in Semiconductors, IMA Volumes in Mathematics and its Applications, Volume 58, pp. 33-47. New York: Springer-Verlag, 1993.

``Shock Waves in the Hydrodynamic Model for Semiconductor Devices,'' C. L. Gardner, in Semiconductors, IMA Volumes in Mathematics and its Applications, Volume 59, pp. 123-134. New York: Springer-Verlag, 1993. PDF

``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 ENO Method for the Hydrodynamic Model for Semiconductor Devices,'' C. L. Gardner, J. W. Jerome, and C.-W. Shu, in High Performance Computing, 1993: Grand Challenges in Computer Simulation, pp. 96-101. San Diego: The Society for Computer Simulation, 1993.

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

``Numerical Simulation of Uniaxial Compression of a Granular Material with Wall Friction,'' C. L. Gardner and D. G. Schaeffer, SIAM Journal on Applied Mathematics 54 (1994) 1676-1692.

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

``Smooth Quantum Potential for the Hydrodynamic Model,'' C. L. Gardner and C. Ringhofer, Physical Review E 53 (1996) 157-167. PDF

``The Quantum Hydrodynamic Smooth Effective Potential,'' C. L. Gardner and C. Ringhofer, VLSI Design 6 (1998) 17-20.

``Approximation of Thermal Equilibrium for Quantum Gases with Discontinuous Potentials and Application to Semiconductor Devices,'' C. L. Gardner and C. Ringhofer, SIAM Journal on Applied Mathematics 58 (1998) 780-805.

``Smooth Quantum Hydrodynamic Model Simulation of the Resonant Tunneling Diode,'' C. L. Gardner and C. Ringhofer, VLSI Design 8 (1998) 143-146.

``Theory and Simulation of the Smooth Quantum Hydrodynamic Model,'' C. L. Gardner, VLSI Design 9 (1999) 351-356.

``Electrodiffusion Model of Rectangular Current Pulses in Ionic Channels of Cellular Membranes,'' C. L. Gardner, J. W. Jerome, and R. S. Eisenberg, SIAM Journal on Applied Mathematics 61 (2000) 792-802. PS

``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 +

``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 +

``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

``Electrodiffusion Model Simulation of Rectangular Current Pulses in a Voltage Biased Biological Channel,'' C. L. Gardner, J. W. Jerome, and R. S. Eisenberg, Journal of Theoretical Biology 219 (2002) 291-299. PDF

``Primordial Inflation and Present-Day Cosmological Constant from Extra Dimensions,'' C. L. Gardner, hep-th/0105295, Physics Letters B 524 (2002) 21-25. 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

``Electrodiffusion Model Simulation of Rectangular Current Pulses in a Biological Channel,'' C. L. Gardner, J. W. Jerome, and R. S. Eisenberg, Journal of Computational Electronics 1 (2002) 347-351. 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

``Effective Potentials and Quantum Fluid Models: A Thermodynamic Approach,'' C. Ringhofer, C. L. Gardner, and D. Vasileska, International Journal of High Speed Electronics and Systems, 13 (2003) 771-801. PDF

``Semiconductor Device Simulation: The Hydrodynamic Model,'' C. L. Gardner, IEEE Potentials 22 (2003) 17-19.

``Cosmological Variation of the Fine Structure Constant from an Ultra-Light Scalar Field: The Effects of Mass,'' C. L. Gardner, astro-ph/0305080, Physical Review D 68 (2003) 043513. 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

``Electrodiffusion Model Simulation of Ionic Channels: 1D Simulations,'' C. L. Gardner, W. Nonner, and R. S. Eisenberg, Journal of Computational Electronics 3 (2004) 25-31. PDF

``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

``Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling,'' Y. Ha, C. L. Gardner, A. Gelb, and C.-W. Shu, Journal of Scientific Computing 24 (2005) 29-44. PDF

``Quintessence and the Transition to an Accelerating Universe,'' C. L. Gardner, astro-ph/0407604, Nuclear Physics B 707 (2005) 278-300. PDF

``Numerical Simulation of High Mach Number Astrophysical Jets,'' C. L. Gardner, Y. Ha, J. J. Hester, J. E. Krist, C.-W. Shu, and K. R. Stapelfeldt, in Analysis, Modeling and Computation of Hyperbolic PDE and Multiphase Flow, pp. 1-11. Stony Brook: SUNY, 2005. PDF

``Braneworld Quintessential Inflation and Sum of Exponentials Potentials,'' C. L. Gardner, hep-th/0701036. PDF

``Positive Scheme Numerical Simulation of High Mach Number Astrophysical Jets,'' Y. Ha and C. L. Gardner, Journal of Scientific Computing 34 (2008) 247-259. PDF

``A Multi-Epoch HST Study of the Herbig-Haro Flow from XZ Tauri,'' J. E. Krist, K. R. Stapelfeldt, J. J. Hester, K. Healy, S. J. Dwyer, and C. L. Gardner, accepted for publication in Astronomical Journal. PDF