Scientific Computing in Electrical Engineering (eBook)

Preface 5
Contents 7
List of Contributors 12
Part I Coupled Problems 20
A Unified Approach for the Analysis of Networks Composed of Transmission Lines and Lumped Circuits* 21
Circuit Simulation for Nanoelectronics* 30
Hot-Phonon Effects on the Transport Propertiesof an Indium Phosphide n+ n n+ Diode 38
Modeling and Simulation for Thermal-Electric Coupling in an SOI- Circuit 44
A Staggered ALE Approach for Coupled Electromechanical Systems 50
Orthogonalisation in Krylov Subspace Methods for Model Order Reduction 56
Algebraic Sparsefied Partial Equivalent Electric Circuit (ASPEEC) 61
Analytical and Numerical Techniques for Simulating a 3D Rainwater Droplet in a Strong Electric Field 67
3-D FE Particle Based Model of Ion Transport Across Ionic Channels 73
Coupled Calculation of Electromagnetic Fields and Mechanical Deformation 78
Part II Circuit Simulation 84
Challenging Coupled Problems in TCAD* 85
On the Formulation and Lumped Equivalents Extraction Techniques for the Efficient Modeling of Long Interconnects 95
Symbolic Methods in Industrial Analog Circuit Design 101
Index Analysis of Multirate Partial Differential-Algebraic Systems in RF- Circuits 107
Semidiscretisation Methods forWarped MPDAEs 114
Qualitative Properties of Equilibria in MNA Models of Electrical Circuits 120
State and Semistate Models of Lumped Circuits 126
An Index Analysis from Coupled Circuit and Device Simulation 133
Multirate Methods in Chip Design: Interface Treatment and Multi 141
Domain Extension 141
Digital Linear Control Theory for Automatic Stepsize Control 149
A General Compound Multirate Method for Circuit Simulation Problems 155
Stochastic Differential Algebraic Equations in Transient Noise Analysis 162
Part III Electromagnetism 168
Finite Element Modelling of Electrical Machines and Actuators* 169
Adaptive FEM Solver for the Computation of Electromagnetic Eigenmodes in 3D Photonic Crystal Structures 179
COLLGUN: a 3D FE Simulator for the Design of TWTs Electron Guns and Multistage Collectors 184
A New Thin-Solenoid Model for Accurate 3-D Representation of Focusing Axisymmetric Magnetic Fields in TWTs 190
Hybridised PTD/AWE for ModellingWide-Band Electromagnetic Wave Scattering 196
Transverse Electric PlaneWave Scattering by Two Infinitely Long Conducting Elliptic Cylinders: Iterative Solution 202
Simulation of Microwave and Semiconductor Laser Structures Including PML: Computation of the Eigen Mode Problem, the Boundary Value Problem, and the Scattering Matrix 211
Solving of an Electric Arc Motion in a Vacuum Interrupter 222
Analysis of Eddy Currents in a Gradient Coil 227
An Integration of Optimal Topology and Shape Design for Magnetostatics 233
Numerical Computation of Magnetic Field and Inductivity of Power Reactor with Respect of Real Magnetic Properties of Iron Core 239
Calculation of 3D Space-Charge Fields of Bunches of Charged Particles by Fast Summation* 246
Comparison of the A, V -formulation and Hiptmair’s Smoother 252
Iterative Solution of Field Problems with a Varying Physical Parameter 258
Part IV General Mathematical and Computational Methods 263
Time Integration Methods for Coupled Equations* 264
Two-Band Quantum Models for Semiconductors Arising from the Bloch Envelope Theory 273
Mixed Finite Element Numerical Simulation of a 2D Silicon MOSFET with the Non- Parabolic MEP Energy- Transport Model 279
Comparison of Different Methodologies for Parameter Extraction in Circuit Design 285
Sound Synthesis and Chaotic Behaviour in ChuaÌs Oscillator 290
A Kinetic Type Extended Model for Polarizable and Magnetizable Fluids. 296
Quantum Corrected DriftÒDiffusion Modeling and Simulation of Tunneling Effects in Nanoscale Semiconductor Devices 302
Reverse Statistical Modeling for Analog Integrated Circuits 309
Coupled EM & Circuit Simulation Flow for Integrated Spiral Inductor
An Optimal Control approach for an Energy Transport Model in Semiconductor Design 322
A Multigroup-WENO Solver for the Non-Stationary Boltzmann- Poisson System for Semiconductor Devices 330
Deterministic Numerical Simulation of 1d Kinetic Descriptions of Bipolar Electron Devices 337
A Hybrid Intelligent Computational Methodology for Semiconductor Device Equivalent Circuit Model Parameter Extraction 343
A SPICE-Compatible Mobility Function for Excimer Laser Annealed LTPS TFT Analog Circuit Simulation 349
Parallelization of WENO-Boltzmann Schemes for Kinetic Descriptions of 2D Semiconductor Devices 355
Hole Mobility in Silicon Semiconductors. 361
Anisotropic Mesh Adaptivity Via a Dual-Based A Posteriori Error 367
Estimation for Semiconductors 367
Kinetic Relaxation Models for the Boltzmann Transport Equation for Silicon Semiconductors 374
Exact Solutions for the Drift-Diffusion Model of Semiconductors via Lie Symmetry Analysis 380
Different Extrapolation Strategies in Implicit Newmark-Beta Schemes for the Solution of Electromagnetic High- Frequency Problems* 386
Part V Basic Research for Software Tools and Work in Progress 393
Electromagnetic Characterization Flow of Leadless Packages for RF Applications 394
Domain Decomposition Techniques and Coupled PDE/ODE Simulation of Semiconductor Devices 401
Interconnection Modeling Challenges in System-in-Package (SiP) Design 406
General Linear Methods for Nonlinear DAEs in Circuit Simulation 412
Colour Figures 418
Author Index 451