Numerical methods for the hydrodynamic device model: subsonic flow. - Carl L. Gardner; Joseph W. Jerome; Donald J. Rose (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1989)

Semiconductor Equations (P. A. Markowich, C. A. Ringhofer, and C. Schmeiser). - Carl L. Gardner (SIAM Rev., 1991)

Two-dimensional process simulation using verified phenomenological models. - Richard B. Fair; Carl L. Gardner; Michael J. Johnson; Stephen W. Kenkel; Donald J. Rose; John E. Rose; Ravi Subrahmanyan (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1991)

A parallel block iterative method for the hydrodynamic device model. - Carl L. Gardner; Paul J. Lanzkron; Donald J. Rose (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1991)

The Quantum Hydrodynamic Model for Semiconductor Devices. - Carl L. Gardner (SIAM J. Appl. Math., 1994)

Numerical Simulation of Uniaxial Compression of a Granular Material with Wall Friction. - Carl L. Gardner; David G. Schaeffer (SIAM J. Appl. Math., 1994)

Resonant Tunneling in the Quantum Hydrodynamic Model. - Carl L. Gardner (VLSI Design, 1995)

Approximation of Thermal Equilibrium for Quantum Gases with Discontinuous Potentials and Application to Semiconductor Devices. - Carl L. Gardner; Christian A. Ringhofer (SIAM J. Appl. Math., 1998)

The Quantum Hydrodynamic Smooth Effective Potential. - Carl L. Gardner; Christian A. Ringhofer (VLSI Design, 1998)

Smooth Quantum Hydrodynamic Model Simulation of the Resonant Tunneling Diode. - Carl L. Gardner; Christian A. Ringhofer (VLSI Design, 1998)

Guest Editorial. - Carl L. Gardner (VLSI Design, 1999)

Theory and Simulation of the Smooth Quantum Hydrodynamic Model. - Carl L. Gardner (VLSI Design, 1999)

Electrodiffusion Model of Rectangular Current Pulses in Ionic Channels of Cellular Membranes. - Carl L. Gardner; Joseph W. Jerome; Robert S. Eisenberg (SIAM J. Appl. Math., 2000)

The Chapman-Enskog Expansion and the Quantum Hydrodynamic Model for Semiconductor Devices. - Carl L. Gardner; Christian A. Ringhofer (VLSI Design, 2000)

A Comparison of Resonant Tunneling Based on Schrödinger's Equation and Quantum Hydrodynamics. - Naoufel Ben Abdallah; Olivier Pinaud; Carl L. Gardner; Christian A. Ringhofer (VLSI Design, 2002)

VLSI Design Special Issue on Semiconductor Device Modeling. - Carl L. Gardner (VLSI Design, 2002)

A Comparison of Modern Hyperbolic Methods for Semiconductor Device Simulation: NTK Central Scheme Vs. CLAWPACK. - Carl L. Gardner; Anne Gelb; Justin Hernandez (VLSI Design, 2002)

Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling. - Youngsoo Ha; Carl L. Gardner; Anne Gelb; Chi-Wang Shu (J. Sci. Comput., 2005)

Positive Scheme Numerical Simulation of High Mach Number Astrophysical Jets. - Youngsoo Ha; Carl L. Gardner (J. Sci. Comput., 2008)

Simulation of the Ephaptic Effect in the Cone-Horizontal Cell Synapse of the Retina. - Carl L. Gardner; Jeremiah R. Jones; Steven M. Baer; Shaojie Chang (SIAM J. Appl. Math., 2013)

Drift-diffusion simulation of the ephaptic effect in the triad synapse of the retina. - Carl L. Gardner; Jeremiah R. Jones; Steven M. Baer; Sharon M. Crook (J. Comput. Neurosci., 2015)