## Modern Methods for Solving Engineering Problems: Numerical Methods, Optimization Techniques and Simulation |

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### Contents

INTERPOLATION AND APPROXIMATION | 1 |

NUMERICAL INTEGRATION | 58 |

THE APPROXIMATION OF THE SOLUTION OF ORDINARY | 95 |

13 other sections not shown

### Common terms and phrases

algorithm approximation arguments Array containing assumed augmented matrix base points Boolean boundary calculated Chebyshev polynomials coefficients column contour tangent convergence data set degree polynomial derivative determined diagonal differential equation digits DIMENSION divided difference END OF CONDITIONAL ERFX error function Euler's method evaluated example EXTERNAL FUNCTION extreme point feasible solution Figure finite difference Flow Diagram formulas FREQ FUNCTION RETURN functional values GAS TEMPERATURE DECREASING Gaussian elimination given golden section search gradient grid points heat conduction Hence identity matrix increment initial integration interpolating polynomial interval of uncertainty inverse ITMAX MAD Program matrix maximum mole Newton's Method objective function optimal orthogonal pass pivot element Pn(x PRINT RESULTS problem procedure quadrature round-off error shown solved space statement step subroutine subscripts Table Taylor's series tion TRUERF TRUEY TRUEY UI UI UI unimodal VECTOR VALUES XARG XMAX zero