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2011, ISBN: 3642799892
[EAN: 9783642799891], Neubuch, [SC: 14.12], [PU: Springer Berlin Heidelberg], ABWEICHUNGS-DIFFUSIONSSYSTEM; BOLTZMANNTRANSPORTEQUATION; BOLTZMANN-TRANSPORTMODELL; DRIFT-DIFFUSIONSYSTEM; E… mais…
Joseph W. Jerome:
Analysis of Charge Transport : A Mathematical Study of Semiconductor Devices - Livro de bolso2011, ISBN: 3642799892
[EAN: 9783642799891], Neubuch, [SC: 0.0], [PU: Springer Berlin Heidelberg], NUMERICALFIXEDPOINTMAP; P/NJUNKTION; TRANSISTOR; ABWEICHUNGS-DIFFUSIONSSYSTEM; BOLTZMANNTRANSPORTEQUATION; BOLT… mais…
2011
ISBN: 3642799892
Softcover reprint of the original 1st ed. 1996 Kartoniert / Broschiert Mathematische Analysis, allgemein, Mathematische Physik, Elektronik, numericalfixedpointmap; p/nJunktion; Transist… mais…
ISBN: 9783642799891
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ISBN: 9783642799891
Paperback / softback. New. This book addresses the mathematical aspects of semiconductor modeling, with particular attention focused on the drift-diffusion model. The book is intended fo… mais…
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Dados detalhados do livro - Analysis of Charge Transport
EAN (ISBN-13): 9783642799891
ISBN (ISBN-10): 3642799892
Livro de bolso
Ano de publicação: 2011
Editor/Editora: Springer Berlin
Livro na base de dados desde 2012-10-26T05:06:53-02:00 (Sao Paulo)
Página de detalhes modificada pela última vez em 2023-04-13T10:38:57-03:00 (Sao Paulo)
Número ISBN/EAN: 9783642799891
Número ISBN - Ortografia alternativa:
3-642-79989-2, 978-3-642-79989-1
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: jerome jerome
Título do livro: mathematical analysis, analysis transport
Dados da editora
Autor: Joseph W. Jerome
Título: Analysis of Charge Transport - A Mathematical Study of Semiconductor Devices
Editora: Springer; Springer Berlin
167 Páginas
Ano de publicação: 2011-12-08
Berlin; Heidelberg; DE
Impresso / Feito em
Peso: 0,295 kg
Língua: Inglês
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
POD
XI, 167 p.
BC; Analysis; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Abweichungs-Diffusionssystem; Boltzmann transport equation; Boltzmann-Transportmodell; Drift-diffusion system; Energie; Gummel Iteration; Scharfetter-Gummel discretization; System decoupling; calculus; differential equation; energy transport model; finite element method; inf-sup Theorie; linearization; mixed boundary value problem; nichtlineare finite Elemente-Konvergenz-Theorie; nonlinear finite element convergence theory; numerical fixed point map; p/n Junktion; transistor; Numerical Analysis; Electronics and Microelectronics, Instrumentation; Theoretical, Mathematical and Computational Physics; Analysis; Numerical Analysis; Electronics and Microelectronics, Instrumentation; Theoretical, Mathematical and Computational Physics; Numerische Mathematik; Elektronik; Mathematische Physik; BB
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.- 2.1 Descriptive Background.- 2.2 Modeling Overview.- 2.3 Scaling and Junction Width Estimation.- 2.3.1 System and Scalings.- 2.3.2 Example and Heuristic Analysis.- 2.4 The Scharfetter-Gummel Discretization.- 2.4.1 Variational Calculus.- 2.4.2 Piecewise Constant Flux.- 2.5 A Model for Drift-Diffusion.- 2.5.1 The Mobility Relations.- 2.5.2 Boundary Conditions and Current-Voltage Relations.- 3. Moment Models: Microscopic to Macroscopic.- 3.1 The Hydrodynamic Model.- 3.1.1 Charge, Momentum and Energy Transport Equations.- 3.1.2 Moment Closure and Relaxation Relations.- 3.2 Calibration with the Mechanics of Charged Fluids.- 3.2.1 Conservation of Mass and Energy.- 3.2.2 The Momentum Subsystem.- 3.3 Subsonic Linearization Analysis in One Dimension.- 3.4 Energy Transport Models and Stokes’ Flow.- 3.4.1 The Steady-State System.- 3.4.2 Exponential Variables in One Dimension.- 3.4.3 Maximum Principles.- 3.4.4 The Fixed Point Map.- 3.5 Modeling Issues.- 3.5.1 Regimes Defined by Damping.- 3.6 A Glimpse of the Quantum Hydrodynamic Model.- II. Computational Foundations.- 4. A Family of Solution Fixed Point Maps: Partial Decoupling.- 4.1 Contraction Property of the Gummel Map in Two Dimensions.- 4.1.1 A Framework for the Gummel Map.- 4.1.2 The Principal Result.- 4.1.3 The Supporting Lemmas and Hypotheses.- 4.2 General Case: A Framework of Weighted Spaces.- 4.3 Existence and Maximum Principles for Uf.- 4.4 Admissible Lag and the Mapping VW f.- 4.4.1 Admissible Lagging of the Continuity Subsystem.- 4.4.2 Uniqueness and Definition of the Map VWf.- 4.5 A Variational Inequality for the Current Continuity Subsystem.- 4.5.1 Abstract Inequality Formulation.- 4.5.2 The Concrete Variational Inequality.- 4.6 Equivalence with the Current Continuity Subsystem.- 4.7 Compactness and Continuity of VWf and Fixed Points of Tf.- 4.7.1 Compactness.- 4.7.2 Continuity.- 4.7.3 The Gummel Map and its Fixed Points.- 4.8 Technical Properties of Norms and Mappings.- 4.8.1 Norm Equivalence.- 4.8.2 Enhanced Continuity for the Subsystem Map.- 5. Nonlinear Convergence Theory for Finite Elements.- 5.1 Definitions of the Composite Mappings of T.- 5.2 The Numerical Map Tn.- 5.2.1 The Composite Finite Element Maps.- 5.2.2 The Discrete Maximum Principles.- 5.2.3 The Numerical Fixed Point Map.- 5.3 Approximation Theory in Energy Norms and Pointwise Norms.- 5.3.1 Approximation Theory for Gradient Equations.- 5.3.2 Convergence Properties of Tn in Energy Norms.- 5.3.3 Convergence Properties of Tn in the Pointwise Norm.- 5.4 A Calculus for the System Mappings.- 5.4.1 The Map U: Differentiability Properties.- 5.4.2 The Mappings V and W: Differentiability Properties.- 5.5 The Mappings Uh, Vh, and Wh.- 5.5.1 The Mapping Uh.- 5.5.2 The Mappings Vh and Wh.- 5.6 Summary of Results for T and Tn.- 5.7 Verification of the General Hypotheses.- 5.7.1 Verification of the ‘A Priori’ Estimates.- 5.7.2 Verification of the ‘A Posteriori’ Estimates.- 5.8 Final Convergence Results.- III. Mathematical Theory.- 6. Numerical Fixed Point Approximation in Banach Space.- 6.1 Linear Theory: Staircase to the Nonlinear Theory.- 6.2 Nonlinear Estimation and the Operator Calculus.- 6.2.1 ‘A Priori’ Estimates and Asymptotic Linearity.- 6.2.2 ‘A Posteriori’ Estimates.- 6.3 Approximate Fixed Points via Newton’s Method.- 6.4 The Inf-Sup Theory As a Special Case.- 7. Construction of the Discrete Approximation Sequence.- 7.1 The Fixed Point Map as Smoother.- 7.1.1 Solution of the Central Approximation Problem.- 7.2 Smoothing for Newton Iteration: Differential Maps.- 7.2.1 Framework for the Postconditioning Iteration.- 7.2.2 The Superlinear Convergence Theorem.- References.Outros livros adicionais, que poderiam ser muito similares com este livro:
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