Engineering Modelling and Analysis

Introduction (Engineering Modelling and Analysis) Introduction (Accuracy, Speed and Algorithms) Roots of Equations (Introduction) Roots of Equations (Bracket Methods) Roots of Equations (Open Methods) Numerical Integration (Trapezoidal Rule) Numerical Interpolation (Simpson's Rule) Numerical Interpolation (Newton's Method) Numerical Interpolation (Cubic Splines and Other Methods) Systems of Linear Equations (Introduction) Systems of Equations (Gauss - Seidel Method) Systems of Equations (L U Decomposition and Thomas Algorithm) Ordinary Differential Equations (Euler's Method) Ordinary Differential Equations (Heun and Runge - Kutta Methods) Finite Difference Modelling (Introduction) Finite Difference Modelling (Laplace's Hot Plate) Finite Difference Modelling (Solution of Pure Diffusion Equation) Finite Difference Modelling (Solution of Full Transport Equation) Finite Difference Modelling (Alternate Schemes) Probability and Statistics (Descriptive Statistics) Probability and Statistics (Population and Sample) Probability and Statistics (Linear Combination of random Variables) Probability and Statistics (Correlation and Regression) Probability and Statistics (Multiple Regressions) Probability and Statistics (Non - Linear Regression) Probability Distributions (Introduction) Probability Distributions (Bernoulli, Binomial, Geometric) Probability Distributions (Poisson, Exponential, Gamma) Probability Distributions (Normal and Log - Normal) Probability Distributions (Extreme Values) Probability Distributions (Chi - Square and Rayleigh) Probability Distributions (Multivariate) Monte Carlo Method (Introduction) Monte Carlo Method (Generation of Random Numbers) Monte Carlo Method (Acceptance/Rejection) Monte Carlo Method (Metropolis Applications) Stochastic Modelling (Goodness of Fit and Model Calibration) Stochastic Modelling (Likelihood and Uncertainty) Stochastic Modelling (Markov Chains) Stochastic Modelling (Time Series) Optimisation (Local Optimisation) Optimisation (Global Optimisation) Linear Systems and Resonance Spectral Analysis (Introduction) Spectral Analysis (Discrete Fourier Transform) Spectral Analysis (Practical Aspects I) Spectral Analysis (Practical Aspects II) Appendix - A: Taylor Series Appendix - B: Error Function and Gamma Function Appendix - C: Complex Sinusolid Appendix - D: Open - Source Software References Index