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| Numerical Methods for Electrical Engineers | |
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| Engineering Goals | |
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| Programming Numerical Solutions | |
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| Why MATLAB�“? | |
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| The MATLAB�“ Programming Language | |
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| Conventions in This Book | |
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| Example Programs | |
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| MATLAB�“ Fundamentals | |
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| The MATLAB�“ Windows | |
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| Constructing a Program in MATLAB�“ | |
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| MATLAB�“ Fundamentals | |
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| MATLAB�“ Input/Output | |
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| MATLAB�“ Program Flow | |
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| MATLAB�“ Function Files | |
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| Anonymous Functions | |
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| MATLAB�“ Anonymous Functions | |
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| MATLAB�“ Graphics | |
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| Working with Matrices | |
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| Working with Functions of a Vector | |
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| Additional Examples Using Characters and Strings | |
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| Interpolation and MATLAB�“'s interp1 Function | |
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| MATLAB�“'s textscan Function | |
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| Exporting MATLAB�“ Data to Excel | |
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| Debugging a Program | |
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| The Parallel RLC Circuit | |
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| Matrices | |
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| Matrix Operations | |
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| System of Linear Equations | |
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| Gauss Elimination | |
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| The Gauss-Jordan Method | |
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| Number of Solutions | |
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| Inverse Matrix | |
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| The Eigenvalue Problem | |
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| Roots of Algebraic and Transcendental Equations | |
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| The Search Method | |
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| Bisection Method | |
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| Newton-Raphson Method | |
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| MATLAB�“'s fzero and roots Functions | |
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| Numerical Integration | |
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| Numerical Integration and Simpson's Rule | |
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| Improper Integrals | |
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| MATLAB�“'s quad Function | |
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| The Electric Field | |
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| The quiver Plot | |
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| MATLAB�“'s dblquad Function | |
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| Numerical Integration of Ordinary Differential Equations | |
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| The Initial Value Problem | |
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| The Euler Algorithm | |
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| Modified Euler Method with Predictor-Corrector Algorithm | |
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| Numerical Error for Euler Algorithms | |
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| The Fourth-Order Runge-Kutta Method | |
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| System of Two First-Order Differential Equations | |
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| A Single Second-Order Equation | |
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| MATLAB�“'s ODE Function | |
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| Boundary Value Problems | |
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| Solution of a Tri-Diagonal System of Linear Equations | |
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| Method Summary for m equations | |
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| Difference Formulas | |
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| One-Dimensional Plate Capacitor Problem | |
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| Laplace Transforms | |
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| Laplace Transform and Inverse Transform | |
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| Transforms of Derivatives | |
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| Ordinary Differential Equations, Initial Value Problem | |
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| Convolution | |
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| Laplace Transforms Applied to Circuits | |
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| Impulse Response | |
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| Fourier Transforms and Signal Processing | |
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| Mathematical Description of Periodic Signals: Fourier Series | |
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| Complex Exponential Fourier Series and Fourier Transforms | |
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| Properties of Fourier Transforms | |
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| Filters | |
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| Discrete-Time Representation of Continuous-Time Signals | |
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| Fourier Transforms of Discrete-Time Signals | |
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| A Simple Discrete-Time Filter | |
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| Curve Fitting | |
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| Method of Least Squares | |
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| Curve Fitting with the Exponential Function | |
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| MATLAB�“'s polyfit Function | |
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| Cubic Splines | |
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| The Function interp1 for Cubic Spline Curve Fitting | |
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| Curve Fitting with Fourier Series | |
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| Optimization | |
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| Unconstrained Optimization Problems | |
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| Method of Steepest Descent | |
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| MATLAB�“'s fminunc Function | |
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| Optimization with Constraints | |
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| Lagrange Multipliers | |
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| MATLAB�“'s fmincon Function | |
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| Simulink | |
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| Creating a Model in Simulink | |
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| Typical Building Blocks in Constructing a Model | |
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| Tips for Constructing and Running Models | |
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| Constructing a Subsystem | |
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| Using the Mux and Fcn Blocks | |
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| Using the Transfer Fcn Block | |
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| Using the Relay and Switch Blocks | |
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| Trigonometric Function Blocks | |
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| RLC Circuits | |
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| Special Characters in MATLAB�“ Plots | |
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| MATLAB�“ Function Index | |