ebook ebooks e-book e-books downloaden bei MyEbooks.ch downloaden

Mathematics - Key Technology for the Future Joint Projects between Universities and Industry 2004 -2007

:	Hans-Joachim Krebs, Willi Jäger
:	Willi Jäger, Hans-Joachim Krebs
:	Mathematics - Key Technology for the Future Joint Projects between Universities and Industry 2004 -2007
:	Springer-Verlag
:	9783540772033
:	1
:	CHF 74.40
:

:	Allgemeines, Lexika
:	English

:	357
:	Wasserzeichen/DRM
:	PC/MAC/eReader/Tablet
:	PDF

This book is about the results of a number of projects funded by the BMBF in the initiative"Mathematics for Innovations in Industry and Services". It shows that a broad spectrum of analytical and numerical mathematical methods and programming techniques are used to solve a lot of different specific industrial or services problems. The main focus is on the fact that the mathematics used is not usually standard mathematics or black box mathematics but is specifically developed for specific industrial or services problems. Mathematics is more than a tool box or an ancilarry science for other scientific disciplines or users. Through this book the reader will gain insight into the details of mathematical modeling and numerical simulation for a lot of industrial applications.

	Preface	6
	Contents	8
	List of Contributors	11
	Part I Microelectronics	17
	Numerical Simulation of Multiscale Models for Radio Frequency Circuits in the Time Domain	18
	1 Introduction	18
	1.1 RF Transceiver Blocks	19
	1.2 New Mathematics for Simulating Transceivers	21
	Numerical Simulation of High-Frequency Circuits in Telecommunication	23
	1 Introduction	23
	2 The Re.ned Circuit Model	24
	3 Perturbation and Index Analysis	26
	4 Numerical Simulation	28
	4.1 The Software MECS	29
	4.2 Flip Flop Circuitry	29
	4.3 Voltage Controlled Oscillator (VCO)	30
	References	31
	Wavelet-Collocation of Multirate PDAEs for the Simulation of Radio Frequency Circuits	33
	1 Motivation	33
	2 Multivariate Signal Model	33
	2.1 Multivariate Model for AM Signals	33
	2.2 MPDAE Model	34
	2.3 Characteristic System	35
	3 Wavelet-Collocation	36
	3.1 Method of Characteristics	36
	3.2 Wavelet-Based Grid Generation	37
	3.3 Wavelet-Based Collocation	39
	4 Simulation Results	40
	5 Conclusions	42
	References	42
	Numerical Simulation of Thermal E.ects in Coupled Optoelectronic Device-Circuit Systems	43
	1 Introduction	43
	2 Modeling	44
	3 Numerical Simulations	47
	4 Conclusion	51
	References	51
	Effcient Transient Noise Analysis in Circuit Simulation	53
	1 Transient Noise Analysis in Circuit Simulation	53
	2 Adaptive Numerical Methods	55
	3 Local Error Estimates	56
	4 A Solution Path Tree Algorithm	57
	5 Numerical Results	58
	6 Conclusions	62
	References	62
	Part II Thin Films	64
	Numerical Methods for the Simulation of Epitaxial Growth and Their Application in the Study of a Meander Instability	65
	1 Epitaxial Growth	65
	1.1 Introduction	65
	1.2 Step Meandering Instability	67
	1.3 Step Flow Model	67
	2 Modeling and Numerical Methods	69
	2.1 Front Tracking Method	69
	2.2 Diffuse Interface Approximation	72
	3 Results	78
	3.1 Front Tracking	78
	3.2 Diffuse-Interface-Approximation	81
	References	84
	Micro Structures in Thin Coating Layers: Micro Structure Evolution and Macroscopic Contact Angle	86
	1 Introduction	86
	2 Modeling and Simulation of the Micro Structure Formation in Thin Coatings	88
	2.1 Modeling Thin Coatings as a Gradient Flow	88
	2.2 Natural Time Discretization	92
	2.3 Space Discretization for the Gradient Flow	94
	2.4 Evolution of Thin Coatings with Solvent Evaporation	95
	2.5 Numerical Results	96
	3 Micro Structured Coatings and E.ective Macroscopic Contact Angle	97
	3.1 Computing the E.ective Contact Angle	101
	3.2 A New Model for Contact Angle Hysteresis	103
	References	107
	Part III Biochemical Reactions and Transport	109
	Modeling and Simulation of Hairy Root Growth	110
	1 Introduction	110
	2 Biological Processes	111
	3 Macroscopic Model	112
	4 Microscopic Model	114
	5 Application of the Macroscopic Model	119
	6 Conclusion	122
	References	123
	Simulation and Optimization of Bio-Chemical Microreactors	125
	1 Description of the Project	125
	2 The Solution Approach	127
	3 Numerical Results	130
	4 Conclusion and Outlook	133
	References	135
	Part IV Computeraided Medicine	136
	Modeling and Optimization of Correction Measures for Human Extremities	137
	1 Introduction	137
	2 Medical Treatment of Deformities	138
	3 Basic Geometric Problems in Operation Planning	140
	4 Mathematical Treatment	142
	5 Software	150
	Acknowledgements	151
	References	151
	Image Segmentation for the Investigation of Scattered-Light Images when Laser-Optically Diagnosing Rheumatoid Arthritis	155
	1 Introduction	155
	2 Optical Imaging	157
	3 Mathematical Algorithms for Image Segmentation	159
	4 Simulation Results	163
	References	166
	Part V Transport, Traffic Energy	168
	Dynamic Routing of Automated Guided Vehicles in Real-Time	169
	1 Introduction	169
	2 The Model	171
	3 The Algorithm	174
	4 Additional Practical Requirements	178
	5 Computational Results	179
	References	180
	Optimization of Signalized Tra.c Networks	182
	1 Introduction	182
	2 Our Approach	183
	3 Application of the Model	188
	4 Conclusion	190
	References	191
	Optimal Sorting of Rolling Stock at Hump Yards	192
	1 Practical Problem Description	192
	2 Sequence Versions o