caa a22 4500 475839757 CHVBK 20180406123858.0 cr unu---uuuuu 170329e20001001xx s 000 0 eng 10.1023/A:1004783723500 doi (NATIONALLICENCE)springer-10.1023/A:1004783723500 Modelling nonlocal processes in semiconductor devices with exponential difference schemes [Elektronische Daten] [R.V.N. Melnik, Hao He] In this paper nonlocal quasi-hydrodynamic mathematical models describing non-equilibrium physical processes in semiconductor devices are considered. These processes cannot be adequately described with conventional drift-diffusion models. The primary numerical difficulty arises in the energy balance equation. Details of the discretisation for the continuity equations will be described along with a transformation of the energy balance equations to give computationally convenient forms. Effective exponential difference schemes are constructed and applied to modelling transport phenomena in semiconductors. Stability conditions, computational convergence and algorithmic realisations of the proposed schemes are discussed and numerical examples are given. Kluwer Academic Publishers, 2000 time relaxation nationallicence semiconductors nationallicence quasi-hydrodynamic models nationallicence exponential difference schemes nationallicence Melnik R.V.N. Mathematical Modelling of Industrial Processes, CSIRO Mathematical and Information Sciences - Sydney, Locked Bag 17, 1670, North Ryde, NSW, Australia aut He Hao Department of Theoretical Physics, School of Physics, University of Sydney, 2006, NSW, Australia aut Journal of Engineering Mathematics Kluwer Academic Publishers 38/3(2000-10-01), 233-263 0022-0833 38:3<233 2000 38 10665 https://doi.org/10.1023/A:1004783723500 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004783723500 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Melnik R.V.N. Mathematical Modelling of Industrial Processes, CSIRO Mathematical and Information Sciences - Sydney, Locked Bag 17, 1670, North Ryde, NSW, Australia aut NATIONALLICENCE 700 1- He Hao Department of Theoretical Physics, School of Physics, University of Sydney, 2006, NSW, Australia aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers 38/3(2000-10-01), 233-263 0022-0833 38:3<233 2000 38 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer