@Article{NM-15-278, author = {W. Liu and Y. Yuan}, title = {A finite difference scheme for a semiconductor device problem on grids with local refinement in time and space}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2006}, volume = {15}, number = {3}, pages = {278--288}, abstract = { The momentary state of a semiconductor device is described by a system of three nonlinear partial differential equations. A finite difference scheme for simulating transient behaviors of a semiconductor device on grids with local refinement in time and space is constructed and studied. Error analysis is presented and is illustrated by numerical examples. }, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/8035.html} }