Numerical Methods in Electromagnetics

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ISBN: 9780444513755 | 0444513752
Cover: Hardcover
Copyright: 5/23/2005

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This special volume provides a broad overview and insight in the way numerical methods are being used to solve the wide variety of problems in the electronics industry. Furthermore its aim is to give researchers from other fields of application the opportunity to benefit from the results wich have been obtained in the electronics industry. * Complete survey of numerical methods used in the electronic industry * Each chapter is selfcontained * Presents state-of-the-art applications and methods * Internationally recognised authors

Volume I

Finite Difference Methods (Part 1)

Introduction

(2)

G.I. Marchuk

Finite Difference Methods for Linear Parabolic Equations

(192)

V. Thomee

Splitting and Alternating Direction Methods

197

(268)

G.I. Marchuk

Solution of Equations in Rn (Part 1)

Least Squares Methods

465

A. Bjorck

Volume II

Finite Element Methods (Part 1)

Finite Elements: An Introduction

(14)

J.T. Oden

Basic Error Estimates for Elliptic Problems

(336)

P.G. Ciarlet

Local Behavior in Finite Element Methods

353

(170)

L.B. Wahlbin

Mixed and Hybrid Methods

523

(118)

J.E. Roberts

J.-M. Thomas

Eigenvalue Problems

641

(148)

I. Babuska

J. Osborn

Evolution Problems

789

H. Fujita

T. Suzuki

Volume III

Techniques of Scientific Computing (Part 1)

Historical Perspective on Interpolation, Approximation and Quadrature

(44)

C. Brezinski

Pade Approximations

(176)

C. Brezinski

J. van Iseghem

Approximation and Interpolation Theory

223

(242)

Bl. Sendov

A. Andreev

Numerical Methods for Solids (Part 1)

Numerical Methods for Nonlinear Three-Dimensional Elasticity

465

(160)

P. Le Tallec

Solution of Equations in Rn (Part 2)

Numerical Solution of Polynomial Equations

625

Bl. Sendov

A. Andreev

N. Kjurkchiev

Volume IV

Finite Element Methods (Part 2)

Origins, Milestones and Directions of the Finite Element Method--A Personal View

(66)

O.C. Zienkiewicz

Automatic Mesh Generation and Finite Element Computation

(124)

P.L. George

Numerical Methods for Solids (Part 2)

Limit Analysis of Collapse States

193

(120)

E. Christiansen

Numerical Methods for Unilateral Problems in Solid Mechanics

313

(174)

J. Haslinger

I. Hlavacek

J. Necas

Mathematical Modelling of Rods

487

L. Trabucho

J.M. Viano

Volume V

Techniques of Scientific Computing (Part 2)

Numerical Path Following

(206)

E.L. Allgower

K. Georg

Spectral Methods

209

(278)

C. Bernardi

Y. Maday

Numerical Analysis for Nonlinear and Bifurcation Problems

487

(152)

G. Caloz

J. Rappaz

Wavelets and Fast Numerical Algorithms

639

(76)

Y. Meyer

Computer Aided Geometric Design

715

J.-J. Risler

Volume VI

Numerical Methods for Solids (Part 3)

Iterative Finite Element Solutions in Nonlinear Solid Mechanics

(180)

R.M. Ferencz

T.J.R. Hughes

Numerical Analysis and Simulation of Plasticity

183

(320)

J.C. Simo

Numerical Methods for Fluids (Part 1)

Navier-Stokes Equations: Theory and Approximation

503

M. Marion

R. Temam

Volume VII

Solution of Equations in Rn (Part 3)

Gaussian Elimination for the Solution of Linear Systems of Equations

(170)

G. Meurant

Techniques of Scientific Computing (Part 3)

The Analysis of Multigrid Methods

173

(244)

J.H. Bramble

X. Zhang

Wavelet Methods in Numerical Analysis

417

(296)

A. Cohen

Finite Volume Methods

713

R. Eymard

T. Gallouet

R. Herbin

Volume VIII

Solution of Equations in Rn (Part 4)

Computational Methods for Large Eigenvalue Problems

(180)

H.A. van der Vorst

Techniques of Scientific Computing (Part 4)

Theoretical and Numerical Analysis of Differential--Algebraic Equations

183

(360)

P.J. Rabier

W.C. Rheinboldt

Numerical Methods for Fluids (Part 2)

Mathematical Modeling and Analysis of Viscoelastic Fluids of the Oldroyd Kind

543

E. Fernandez-Cara

F. Guillen

R.R. Ortega

Volume IX

Numerical Methods for Fluids (Part 3)

Finite Element Methods for Incompressible Viscous Flow

(1)

R. Glowinski

Volume X

Special Volume: Computational Chemistry

Computational Quantum Chemistry: A Primer

(268)

E. Cances

M. Defranceschi

W. Kutzelnigg

C. Le Bris

Y. Maday

The Modeling and Simulation of the Liquid Phase

271

(106)

J. Tomasi

B. Mennucci

P. Laug

An Introduction to First-Principles Simulations of Extended Systems

377

(76)

F. Finocchi

J. Goniakowski

X. Gonze

C. Pisani

Computational Approaches of Relativistic Models in Quantum Chemistry

453

(32)

J.P. Desclaux

J. Dolbeault

M.J. Esteban

P. Indelicato

E. Sere

Quantum Monte Carlo Methods for the Solution of the Schrodinger Equation for Molecular Systems

485

(52)

A. Aspuru-Guzik

W.A. Lester, Jr.

Linear Scaling Methods for the Solution of Schrodinger's Equation

537

(34)

S. Goedecker

Finite Difference Methods for Ab Initio Electronic Structure and Quantum Transport Calculations of Nanostructures

571

(42)

J.-L. Fattebert

M. Buongiorno Nardelli

Using Real Space Pseudopotentials for the Electronic Structure Problem

613

(26)

J. R. Chelikowsky

L. Kronik

I. Vasiliev

M. Jain

Y. Saad

Scalable Multiresolution Algorithms for Classical and Quantum Molecular Dynamics Simulations of Nanosystems

639

(28)

A. Nakano

T.J. Campbell

R.K. Kalia

S. Kodiyalam

S. Ogata

F. Shimojo

X. Su

P. Vashishta

Simulating Chemical Reactions in Complex Systems

667

(32)

M.J. Field

Biomolecular Conformations Can Be Identified as Metastable Sets of Molecular Dynamics

699

(46)

C. Schutte

W. Huisinga

Theory of Intense Laser-Induced Molecular Dissociation: From Simulation to Control

745

(58)

O. Atabek

R. Lefebvre

T.T. Nguyen-Dang

Numerical Methods for Molecular Time-Dependent Schrodinger Equations--Bridging the Perturbative to Nonperturbative Regime

803

(30)

A.D. Bandrauk

H.-Z. Lu

Control of Quantum Dynamics: Concepts, Procedures and Future Prospects

833

H. Rabitz

G. Turinici

E. Brown

Volume XI

Special Volume: Foundations of Computational Mathematics

On the Foundations of Computational Mathematics

(32)

B.J.C. Baxter

A. Iserles

Geometric Integration and its Applications

(106)

C.J. Budd

M.D. Piggott

Linear Programming and Condition Numbers under the Real Number Computation Model

141

(68)

D. Cheung

F. Cucker

Y. Ye

Numerical Solution of Polynomial Systems by Homotopy Continuation Methods

209

(96)

T.Y. Li

Chaos in Finite Difference Scheme

305

(78)

M. Yamaguti

Y. Maeda

Introduction to Partial Differential Equations and Variational Formulations in Image Processing

383

G. Sapiro

Volume XII

Special Volume: Computational Models for the Human Body

Mathematical Modelling and Numerical Simulation of the Cardiovascular System

(126)

A. Quarteroni

L. Formaggia

Computational Methods for Cardiac Electrophysiology

129

(60)

M.E. Belik

T.P. Usyk

A.D. McCulloch

Mathematical Analysis, Controllability and Numerical Simulation of a Simple Model of Avascular Tumor Growth

189

(42)

J.I. Diaz

J.I. Tello

Human Models for Crash and Impact Simulation

231

(222)

E. Haug

H.-Y. Choi

S. Robin

M. Beaugonin

Soft Tissue Modeling for Surgery Simulation

453

(98)

H. Delingette

N. Ayache

Recovering Displacements and Deformations from 3D Medical Images Using Biomechanical Models

551

(40)

X. Papademetris

O. Skrinjar

J.S. Duncan

Methods for Modeling and Predicting Mechanical Deformations of the Breast under External Perturbations

591

F.S. Azar

D.N. Metaxas

M.D. Schnall

Volume XIII

Special Volume: Numerical Methods in Electromagnetics

Introduction to Electromagnetism

(102)

W. Magnus

W. Schoenmaker

Discretization of Electromagnetic Problems: The ``Generalized Finite Differences'' Approach

105

(94)

A. Bossavit

Finite-Difference Time-Domain Methods

199

(118)

S.C. Hagness

A. Taflove

S.D. Gedney

Discretization of Semiconductor Device Problems (I)

317

(126)

F. Brezzi

L.D. Marini

S. Micheletti

P. Pietra

R. Sacco

S. Wang

Discretization of Semiconductor Device Problems (II)

443

(80)

A.M. Anile

N. Nikiforakis

V. Romano

G. Russo

Modelling and Discretization of Circuit Problems

523

(138)

M. Gunther

U. Feldmann

J. ter Maten

Simulation of EMC Behaviour

661

(94)

A.J.H. Wachters

W.H.A. Schilders

Solution of Linear Systems

755

(70)

O. Schenk

H.A. van der Vorst

Reduced-Order Modelling

825

Z. Bai

P.M. Dewilde

R.W. Freund

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Numerical Methods in Electromagnetics

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