1. Introduction --; 1.1 Modeling --; 1.2 Computational Foundations --; 1.3 Mathematical Theory --; 1.4 Summary --; I. Modeling of Semiconductor Devices --; 2. Development of Drift-Diffusion Models --; 3. Moment Models: Microscopic to Macroscopic --; II. Computational Foundations --; 4. A Family of Solution Fixed Point Maps: Partial Decoupling --; 5. Nonlinear Convergence Theory for Finite Elements --; III. Mathematical Theory --; 6. Numerical Fixed Point Approximation in Banach Space --; 7. Construction of the Discrete Approximation Sequence --; References.
The book is organized into seven chapters, with the introduction serving as a comprehensive guide. The remaining chapters are divided in pairs, under the format of modeling, computational foundations, and mathematical theory. The modeling chapters provide an elementary discussion of the drift-diffusion system for semiconductors, and introduce an hierarchy of moment models, based upon the Boltzmann transport equation. The final four chapters deal exclusively with the drift-diffusion model.