15. Bibliography

1

Python Programming Language –- Official Website. http://www.python.org.

2

James W. Demmel, Stanley C. Eisenstat, John R. Gilbert, Xiaoye S. Li, and Joseph W. H. Liu. A supernodal approach to sparse partial pivoting. SIAM J. Matrix Analysis and Applications, 20(3):720–755, 1999. doi:10.1137/S0895479895291765.

3

C. Geuzaine and J.-F. Remacle. Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. International Journal for Numerical Methods in Engineering, 2009. doi:10.1002/nme.2579.

4

W. B. Joyce and R. W. Dixon. Analytic approximations for the Fermi energy of an ideal Fermi gas. Applied Physics Letters, 31(5):354–356, 1977. doi:10.1063/1.89697.

5

Richard S. Muller, Theodore I. Kamins, and Mansun Chan. Device Electronics for Integrated Circuits. John Wiley & Sons, 3 edition, 2002.

6

John K. Ousterhout. Scripting: higher level programming for the 21st century. IEEE Computer, 31:23–30, 1998. doi:10.1109/2.660187.

7

Gernot Paasch and Susanne Scheinert. Charge carrier density of organics with Gaussian density of states: analytical approximation for the Gauss–Fermi integral. Journal of Applied Physics, 107(10):104501, 2010. doi:10.1063/1.3374475.

8

Juan Sanchez and Qiusong Chen. Element Edge Based Discretization for TCAD Device Simulation. TechRxiv, 7 2021. doi:10.36227/techrxiv.14129081.

9

Juan E. Sanchez and Qiusong Chen. Element edge based discretization for TCAD device simulation. IEEE Transactions on Electron Devices, 68(11):5414–5420, 2021. doi:10.1109/TED.2021.3094776.

10

D. L. Scharfetter and H. K. Gummel. Large-signal analysis of a silicon Read diode oscillator. IEEE Trans. Electron Devices, ED-16(1):64–77, January 1969. doi:10.1109/T-ED.1969.16566.

11

Apache Software Foundation. Apache License, Version 2.0. URL: http://www.apache.org/licenses/LICENSE-2.0.html.