TY - JOUR T1 - A finite difference scheme for a semiconductor device problem on grids with local refinement in time and space AU - W. Liu & Y. Yuan JO - Numerical Mathematics, a Journal of Chinese Universities VL - 3 SP - 278 EP - 288 PY - 2006 DA - 2006/08 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/8035.html KW - AB - 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.