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
.
Most widely held works by
Ansgar Jüngel
Quasihydrodynamic 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 driftdiffusion equations, energytransport 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 finiteelement 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 freeboundary 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
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 driftdiffusion equations, energytransport 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 finiteelement 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 freeboundary 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 semiclassical approaches followed by their quantummechanical counterparts
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 semiclassical approaches followed by their quantummechanical 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
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, MonteCarloSimulationen und Verfahren zur Lösung parabolischer Differentialgleichungen und freier Randwertprobleme. Auch auf neuere Entwicklungen wie die Bewertung von Zins und Wetterderivaten wird eingegangen. MATLABBefehle 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
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, MonteCarloSimulationen und Verfahren zur Lösung parabolischer Differentialgleichungen und freier Randwertprobleme. Auch auf neuere Entwicklungen wie die Bewertung von Zins und Wetterderivaten wird eingegangen. MATLABBefehle 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 2024, 2002. They represent a crosssection 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
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 2024, 2002. They represent a crosssection 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 driftdiffusion 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
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 largetime 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
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 largetime 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 driftdiffusion 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 generationrecombination 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."
8 editions published in 1997 in English and Undetermined and held by 15 WorldCat member libraries worldwide
Abstract: "A driftdiffusion 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 generationrecombination 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 : quasineutral limits in the driftdiffusion equations by
Ansgar Jüngel(
Book
)
8 editions published between 1998 and 1999 in English and Undetermined and held by 9 WorldCat member libraries worldwide
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
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
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
3 editions published in 1994 in English and German and held by 7 WorldCat member libraries worldwide
Zeromasselectron 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
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
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
3 editions published in 1999 in English and held by 5 WorldCat member libraries worldwide
The energytransport 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
3 editions published in 1998 in English and held by 5 WorldCat member libraries worldwide
Asymptotic analysis of a semiconductor model based on FermiDirac statistics by
Ansgar Jüngel(
Book
)
3 editions published in 1995 in English and held by 5 WorldCat member libraries worldwide
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 nontradable 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 nontradable state variables on the optimal value function is illustrated by a numerical example
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 nontradable 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 nontradable 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
3 editions published in 1995 in English and held by 5 WorldCat member libraries worldwide
High order compact finite difference schemes for a nonlinear BlackScholes equation by
Bertram Düring(
Book
)
5 editions published in 2001 in English and held by 4 WorldCat member libraries worldwide
A nonlinear BlackScholes equation which models transaction costs arising in the hedging of portfolios is discretized semiimplicitly 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 nonoscillatory properties and are generally more efficient than the considered classical schemes
5 editions published in 2001 in English and held by 4 WorldCat member libraries worldwide
A nonlinear BlackScholes equation which models transaction costs arising in the hedging of portfolios is discretized semiimplicitly 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 nonoscillatory properties and are generally more efficient than the considered classical schemes
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Related Identities
 Günther, Michael Author
 Zachmann, Hans Gerhard Author
 Manasevich, Raul Editor
 Shahgholian, Henrik Editor
 Markowich, Peter A. Editor
 ZachmannJüngel ...
 Peng, YueJun
 Düring, Bertram Author
 Galiano, Gonzalo Author
 Pinnau, René
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Associated Subjects
Boundary value problems ChemistryMathematical models Derivative securities Difference equations Differential equations, Elliptic Differential equations, Nonlinear Differential equations, Parabolic Differential equations, Partial Economics Electron transport Electron transportMathematical models Entropy Finance Functional analysis Functional equations Mathematical physics Mathematics MATLAB Monte Carlo method Optical materials Particles (Nuclear physics) Physics Semiconductors SemiconductorsDiffusion SemiconductorsMathematical models Surfaces, AlgebraicDegenerations