## Numerical Methods For Scientific And Engineering Computation |

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### Contents

HIGH SPEED COMPUTATION | 1 |

TRANSCENDENTAL AND POLYNOMIAL EQUATIONS | 18 |

SYSTEM OF LINEAR ALGEBRAIC EQUATIONS | 109 |

INTERPOLATION AND APPROXIMATION | 217 |

DIFFERENTIATION AND INTEGRATION | 328 |

Q ANSWERS AND HINTS TO THE PROBLEMS | 659 |

825 | |

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### Common terms and phrases

boundary conditions boundary value problem characteristic equation Chebyshev coefficients Compute convergence corresponding cubic derivatives determine diagonal difference equation differential equation eigenvalues eigenvectors elements error tolerance Euler method evaluations exact solution Example extrapolation float for(i formula fourth order method fprintf(fp function f(x Hence initial approximation initial value problem integral interpolating polynomial interval iteration method Jacobi method linear matrix method is given multistep method Newton-Raphson method nodal points nodes norm number of iterations obtain orthogonal parameters piecewise polynomial of degree PROGRAM root Runge-Kutta method satisfies secant method second order method Simpson's rule solve the system spline stability step length subintervals Substituting Sweden system of equations Taylor series Taylor series method test equation theorem trapezoidal rule tridiagonal truncation error u(tj uj+l Uppsala Univ vector write zero