WorldCat Identities

Jüngel, Ansgar 1966-

Overview
Works: 86 works in 232 publications in 2 languages and 1,613 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor
Classifications: QC611.6.E45, 537.622015118
Publication Timeline
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Most widely held works by Ansgar Jüngel
Quasi-hydrodynamic semiconductor equations by Ansgar Jüngel( Book )

12 editions published between 2000 and 2013 in English and held by 168 WorldCat member libraries worldwide

"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, showing the particular features of the models." "Modern analytical techniques have been used and further developed, such as positive solution methods, local energy methods for free-boundary problems and entropy methods." "The book is aimed at applied mathematicians and physicists interested in mathematics, as well as graduate and postdoc students and researchers in these fields."--Jacket
Transport equations for semiconductors by Ansgar Jüngel( Book )

15 editions published between 2009 and 2010 in English and held by 118 WorldCat member libraries worldwide

Semiconductor devices are ubiquitous in the modern computer and telecommunications industry. A precise knowledge of the transport equations for electron flow in semiconductors when a voltage is applied is therefore of paramount importance for further technological breakthroughs. In the present work, the author tackles their derivation in a systematic and rigorous way, depending on certain key parameters such as the number of free electrons in the device, the mean free path of the carriers, the device dimensions and the ambient temperature. Accordingly a hierarchy of models is examined which is reflected in the structure of the book: first the microscopic and macroscopic semi-classical approaches followed by their quantum-mechanical counterparts
Mathematik für Chemiker by H.G Zachmann( Book )

9 editions published between 2007 and 2014 in German and held by 94 WorldCat member libraries worldwide

Ein unentbehrlicher Begleiter für die Grundvorlesung in Mathematik, der auch während des gesamten Chemiestudiums gute Dienste bei allen mathematischen Fragen und Problemen leistet. Jetzt ergänzt um ein neues Kapitel zu numerischen Verfahren
Finanzderivate mit MATLAB mathematische Modellierung und numerische Simulation by Michael Günther( )

6 editions published between 2003 and 2010 in German and held by 67 WorldCat member libraries worldwide

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 über Finanzderivate und ihre mathematische Behandlung erfahren möchten. Es werden moderne numerische Methoden vorgestellt, mit denen die entsprechenden Bewertungsgleichungen in der Programmierumgebung MATLAB gelöst werden können. Betrachtet werden Binomialmethoden, Monte-Carlo-Simulationen und Verfahren zur Lösung parabolischer Differentialgleichungen und freier Randwertprobleme. Auch auf neuere Entwicklungen wie die Bewertung von Zins- und Wetterderivaten wird eingegangen. MATLAB-Befehle und theoretische Hilfsmittel (aus der Stochastik) sind in die einzelnen Kapitel integriert, so dass keine Vorkenntnisse notwendig sind. Das Buch eignet sich hervorragend zum Selbststudium
Nonlinear differential equation models by Ansgar Jüngel( Book )

11 editions published in 2004 in English and held by 54 WorldCat member libraries worldwide

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
A drift-diffusion model for semiconductors with nonlinear diffusion : analysis and numerical approximation by Ansgar Jüngel( )

6 editions published between 1993 and 1994 in English and held by 23 WorldCat member libraries worldwide

Entropy Methods for Diffusive Partial Differential Equations by Ansgar Jüngel( )

8 editions published in 2016 in English and held by 23 WorldCat member libraries worldwide

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). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of weak solutions, and the analysis of discrete and geometric structures of the PDEs. The purpose of the book is to provide readers an introduction to selected entropy methods that can be found in the research literature. In order to highlight the core concepts, the results are not stated in the widest generality and most of the arguments are only formal (in the sense that the functional setting is not specified or sufficient regularity is supposed). The text is also suitable for advanced master and PhD students and could serve as a textbook for special courses and seminars
On a quasilinear degenerated system arising in semiconductors theory by J. I Dias( Book )

8 editions published in 1997 in English and Undetermined and held by 15 WorldCat member libraries worldwide

Abstract: "A drift-diffusion model for semiconductors with nonlinear diffusion is considered. The model consists of two quasilinear degenerated parabolic equations for the carrier densities and the Poisson equation for the electric potential. We also assume Lipschitz continuous non linearities in the drift and generation-recombination terms. Existence of weak solutions is proven by using a regularization technique. Uniqueness of solutions is proven when either the diffusion term [phi] is strictly increasing and solutions have spatial derivatives in L¹(Q[subscript T]) or when [phi] is non decreasing and a suitable entropy condition is fulfilled by the electric potential."
A hierarchy of hydrodynamic models for plasmas : quasi-neutral limits in the drift-diffusion equations by Ansgar Jüngel( Book )

8 editions published between 1998 and 1999 in English and Undetermined and held by 9 WorldCat member libraries worldwide

Convergent semidiscretization of a nonlinear fourth order parabolic system by Ansgar Jüngel( )

3 editions published in 2001 in English and held by 9 WorldCat member libraries worldwide

A degenerate drift diffusion system with electric convection arising in semiconductor and electrophoretic modeling by Ansgar Jüngel( Book )

3 editions published in 1994 in English and German and held by 7 WorldCat member libraries worldwide

Voltage current characteristics of a pn diode from a drift diffusion model with nonlinear diffusion by Ansgar Jüngel( Book )

3 editions published in 1994 in English and German and held by 7 WorldCat member libraries worldwide

Zero-mass-electron limits in hydrodynamic models for plasmas by Thierry Goudon( Book )

3 editions published in 1998 in English and Undetermined and held by 5 WorldCat member libraries worldwide

Regularity and uniqueness of solutions to a parabolic system in nonequilibrium thermodynamics by Ansgar Jüngel( Book )

3 editions published in 1998 in English and held by 5 WorldCat member libraries worldwide

Positive solutions to singular second and third order differential equations for quantum fluids by Irene Martínez Gamba( Book )

3 editions published in 1999 in English and held by 5 WorldCat member libraries worldwide

The energy-transport model for semiconductors : some analytical and numerical results by Ansgar Jüngel( Book )

3 editions published in 1998 in English and held by 5 WorldCat member libraries worldwide

Asymptotic analysis of a semiconductor model based on Fermi-Dirac statistics by Ansgar Jüngel( Book )

3 editions published in 1995 in English and held by 5 WorldCat member libraries worldwide

A quasilinear parabolic equation with quadratic growth of the gradient modeling incomplete financial markets by Bertram Düring( Book )

3 editions published between 2003 and 2004 in English and held by 5 WorldCat member libraries worldwide

We consider a quasilinear parabolic equation with quadratic gradient terms. It arises in the modelling of an optimal portfolio which maximizes the expected utility from terminal wealth in incomplete markets consisting of risky assets and non-tradable state variables. The existence of solutions is shown by extending the monotonicity method of Frehse. Furthermore, we prove the uniqueness of weak solutions under a smallness condition on the derivatives of the covariance matrices with respect to the solution. The in uence of the non-tradable state variables on the optimal value function is illustrated by a numerical example
Stationary transport equations for charge carriers in semiconductors including electron hole scattering by Ansgar Jüngel( Book )

3 editions published in 1995 in English and held by 5 WorldCat member libraries worldwide

High order compact finite difference schemes for a nonlinear Black-Scholes equation by Bertram Düring( Book )

5 editions published in 2001 in English and held by 4 WorldCat member libraries worldwide

A nonlinear Black-Scholes equation which models transaction costs arising in the hedging of portfolios is discretized semi-implicitly using high order compact finite difference schemes. In particular, the compact schemes of Rigal are generalized. The numerical results are compared to standard finite difference schemes. It turns out that the compact schemes have very satisfying stability and non-oscillatory properties and are generally more efficient than the considered classical schemes
 
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Quasi-hydrodynamic semiconductor equations
Alternative Names
Ansgar Jüngel deutscher Mathematiker

Ansgar Jüngel Duits wiskundige

Ansgar Jüngel German mathematician

Ansgar Jüngel mathématicien allemand

Ansgar Jüngel tysk matematikar

Ansgar Jüngel tysk matematiker

Jüngel, A.

Jüngel, A. 1966-

安斯加爾·于爾根

Languages
English (98)

German (17)

Covers
Transport equations for semiconductorsMathematik für ChemikerNonlinear differential equation models