## Numerical Methods, Optimization Techniques and Process Simulation for Engineers |

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### Contents

INTERPOLATION AND APPROXIMATION | 1 |

NUMERICAL INTEGRATION | 58 |

THE APPROXIMATION OF THE SOLUTION OF ORDINARY | 95 |

16 other sections not shown

### Common terms and phrases

algorithm approximation arguments arithmetic Array containing assumed base points basic feasible solution Boolean expression calculated calling program Chebyshev polynomials coefficients column constant constraints convergence convex convex combination convex set cost derivatives Differential Equations DIMENSION divided difference elements END OF CONDITIONAL ERFX error Euler's method evaluated example execution EXTERNAL FUNCTION extreme point feed Figure finite difference floating point formula FREQ FUNCTION RETURN function value GAS TEMPERATURE given Golden Section Search gradient grid points Hence integration interval of uncertainty ITER ITMAX linear programming linear programming problem loop machine language MAD program matrix maximum memory method mode Mole fraction Newton's Method objective function OOOOOOE 00 operation optimal Output pass pivot Pn(x PRINT RESULTS procedure reactor READ DATA sequence shown solved space stage statement label subroutine subscript TRANSFER TRUEY unimodal variables XARG zero