Numerical Methods for Engineering An introduction using MATLAB and computational electromagnetics examples 2nd Edition by Karl Warnick 1839530731 9781839530739

Numerical Methods for Engineering An introduction using MATLAB and computational electromagnetics examples 2nd Edition by Karl Warnick – Ebook Instant Download/Delivery ISBN(s): 1839530731, 9781839530739

Product details:

• ISBN 10: 1839530731
• ISBN 13: 9781839530739
• Author: Karl Warnick

Table of contents:

1 Introduction
1.1 Scientific Computation, Numerical Analysis, and Engineering
1.2 Computational Electromagnetics
1.2.1 Applications of CEM Tools
1.2.2 Types of CEM Methods
1.2.3 Mesh and Grid Generation
1.3 Accuracy and Efficiency
1.4 Programing Languages
1.5 Writing and Debugging Numerical Codes
References
2 Fundamentals of Electromagnetic Field Theory
2.1 Electromagnetic Field and Source Quantities
2.2 Maxwell’s Equations
2.2.1 Constitutive Relations
2.2.2 Impressed and Induced Currents
2.2.3 Magnetic Currents
2.3 Coordinate Systems
2.3.1 Rectangular Coordinates
2.3.2 Cylindrical Coordinates
2.3.3 Spherical Coordinates
2.4 Gradient, Curl, and Divergence
2.5 Laplacian
2.6 Wave Propagation
2.7 Electromagnetic Boundary Conditions
2.8 Time-and Frequency-Domain Representations
2.9 PlaneWaves
2.9.1 Wave Vector
2.9.2 Position Vector
2.9.3 PlaneWave in Vector Notation
2.9.4 Characteristic Impedance
2.10 Propagating, Standing, and EvanescentWaves
2.11 Bessel Functions
2.11.1 Hankel Functions
2.11.2 CylindricalWaves
2.12 Power and Energy
2.13 InitialValue Problems and BoundaryValue Problems
2.13.1 Modes
2.13.2 1-D, 2-D, and 3-D Boundary Value Problems
2.13.2.1 1-D Problems
2.13.2.2 2-D Problems and the Transverse Electric (TE) and Transverse Magnetic (TM) Polarizations
2.13.2.3 3-D Problems
2.13.3 Radiation and Scattering Problems
2.13.4 Inverse Problems
2.13.5 Green’s Functions and Radiation Integrals
2.13.6 Formulating and Solving Boundary Value Problems
2.13.7 The Equivalence Principle
2.14 Other Topics
Problems
References
3 Basic Numerical Tasks
3.1 Introduction to MATLAB Programing
3.1.1 Vectors and Arrays
3.1.1.1 Colon Operator
3.1.1.2 Vector and Array Operations
3.1.2 Working with Plots
3.1.2.1 3-D Plots
3.1.3 Scripts
3.1.3.1 Comments
3.1.3.2 ParameterValues and Plot Commands
3.1.4 Functions
3.1.5 Arguments and Structure Arrays
3.1.6 Speeding Up MATLAB Codes
3.1.7 Other MATLAB Commands
3.2 Numerical Differentiation
3.2.1 Code Example: Central Difference Rule
3.3 Numerical Integration
3.3.1 Code Example: Midpoint Integration Rule
3.4 Interpolation
3.5 Curve Fitting
3.5.1 Code Example: Polynomial Fitting
3.6 Newton’s Method
Problems
References
4 Finite Difference Methods
4.1 Basic Components of Finite Difference Solvers
4.1.1 Grid
4.1.2 Stencil
4.1.3 Boundary Conditions
4.1.4 Sources
4.1.5 Solution Method
4.2 Wave Equation: 1-D FDTD Method
4.2.1 1-D Grid
4.2.2 Update Equation for the 1-DWave Equation
4.2.3 Initial Condition
4.2.4 Boundary Conditions for the 1-D FDTD Method
4.2.4.1 First-Order Mur Absorbing Boundary Condition
4.2.5 Hard and Soft Sources
4.2.6 Source Turn-On Functions
4.2.7 Code Example: 1-D FDTD Algorithm
4.2.7.1 Numerical ResultsWith the 1-D FDTD Code
4.2.8 Stability
4.2.9 Accuracy
4.2.9.1 r =1 Case
4.2.9.2 r

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