DocumentCode
2608483
Title
Convergence of the Legendre polynomial expansion of the Boltzmann equation for nanoscale devices
Author
Jungemann, Christoph ; Bollhöfer, Matthias ; Meinerzhagen, Bernd
Author_Institution
NST, Tech. Univ. Braunschweig, Germany
fYear
2005
fDate
12-16 Sept. 2005
Firstpage
341
Lastpage
344
Abstract
The convergence of the Legendre polynomial expansion of the Boltzmann equation is investigated for the first time for devices. It is shown that in nanoscale devices a rather larger number of polynomials are required. But even in the case of larger devices an expansion at least up to the 3rd order is necessary to avoid large truncation errors. The resultant large system of linear equations can be memory and CPU efficiently solved by the numerical package ILUPACK1.1.
Keywords
Boltzmann equation; Legendre polynomials; convergence of numerical methods; electronic design automation; nanoelectronics; Boltzmann equation; Legendre polynomial expansion; linear equations; nanoscale devices; numerical package ILUPACK1.1; truncation errors; Boltzmann equation; Convergence; Doping profiles; Electrons; Finite wordlength effects; Nanoscale devices; Poisson equations; Polynomials; Semiconductor process modeling; Temperature;
fLanguage
English
Publisher
ieee
Conference_Titel
Solid-State Device Research Conference, 2005. ESSDERC 2005. Proceedings of 35th European
Print_ISBN
0-7803-9203-5
Type
conf
DOI
10.1109/ESSDER.2005.1546655
Filename
1546655
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