## Numerical methods for engineers: with personal computer applications |

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### Contents

Mathematical Modeling | 9 |

Programming on Personal Computers | 19 |

Approximations and Errors | 58 |

Copyright | |

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### Common terms and phrases

addition algorithm analytical applied approximate bisection method calculated Chap coefficient computer program convergence corrector curve data points depicted in Fig determine differential equation employed error estimate Euler's method evaluate example falling parachutist FORTRAN FORTRAN and BASIC function Gauss elimination Gauss quadrature Gauss-Seidel method Heun method higher-order initial guesses INPUT interpolating polynomial interval iterations linear regression mathematical multiple-segment Newton-Cotes Newton-Raphson method Newton's numerical integration numerical methods NUMERICOMP software obtain ODEs percent relative error Perform personal computers pivoting plot prediction predictor Problem Statement provides Repeat Prob represents RK method Romberg integration root round-off error Runge-Kutta method secant method second derivative second-order segments significant figures Simpson's 1/3 rule Simpson's rules slope solution solve step Study subroutine substituted into Eq Table Taylor series Taylor series expansion techniques third-order trapezoidal rule true value truncation error user-friendly variable velocity yield zero