The papers in this book originate from lectures which were held at the "Vienna Workshop on Nonlinear Models and Analysis" May 20 24, 2002. They represent a cross-section of the research field Applied Nonlinear Analysis with emphasis on free boundaries, fully nonlinear partial differential equations, variational methods, quasilinear partial differential equations and nonlinear kinetic models."
The papers in this book originate from lectures which were held at the "Vienna Workshop on Nonlinear Models and Analysis" May 20 24, 2002. They repres...
In this book a hierarchy of macroscopic models for semiconductor devices is presented. Three classes of models are studied in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each of the models is shown, including physical discussions. Furthermore, the corresponding mathematical problems are analyzed, using modern techniques for nonlinear partial differential equations. The equations are discretized employing mixed finite-element methods. Also, numerical simulations for modern semiconductor devices are performed,...
In this book a hierarchy of macroscopic models for semiconductor devices is presented. Three classes of models are studied in detail: isentropic dr...
This volume presents a systematic and mathematically accurate description and derivation of transport equations in solid state physics, in particular semiconductor devices.
This volume presents a systematic and mathematically accurate description and derivation of transport equations in solid state physics, in particul...
In der Finanzwelt ist der Einsatz von Finanzderivaten zu einem unentbehrlichen Hilfsmittel zur Absicherung von Risiken geworden. Dieses Buch richtet sich an Studierende der (Finanz-) Mathematik und der Wirtschaftswissenschaften im Hauptstudium, die mehr uber Finanzderivate und ihre mathematische Behandlung erfahren mochten. Es werden moderne numerische Methoden vorgestellt, mit denen die entsprechenden Bewertungsgleichungen in der Programmierumgebung MATLAB gelost werden konnen. Betrachtet werden Binomialmethoden, Monte-Carlo-Simulationen und Verfahren zur Losung parabolischer...
In der Finanzwelt ist der Einsatz von Finanzderivaten zu einem unentbehrlichen Hilfsmittel zur Absicherung von Risiken geworden. Dieses Buch richtet s...
This book presents a hierarchy of macroscopic models for semiconductor devices, studying three classes of models in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each, including physical discussions, is shown. Numerical simulations for modern semiconductor devices are performed, showing the particular features of each. The author develops modern analytical techniques, such as positive solution methods, local energy methods for free-boundary problems and entropy methods.
This book presents a hierarchy of macroscopic models for semiconductor devices, studying three classes of models in detail: isentropic drift-diffus...
The papers in this book originate from lectures which were held at the Vienna Workshop on Nonlinear Models and Analysis - May 20-24, 2002. They represent a cross-section of the research field Applied Nonlinear Analysis with emphasis on free boundaries, fully nonlinear partial differential equations, variational methods, quasilinear partial differential equations and nonlinear kinetic models.
The papers in this book originate from lectures which were held at the Vienna Workshop on Nonlinear Models and Analysis - May 20-24, 2002. They repres...
This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes).
This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to ...