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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 | |