FIRST PRINCIPLES OF NUMERICAL ANALYSIS: AN UNDERGRADUATE TEXT.1969 |
Contents
Applications of Taylors Theorem Part 1 | 19 |
Applications of Taylors Theorem Part 2 | 33 |
The Theory of Interpolation | 55 |
Copyright | |
4 other sections not shown
Other editions - View all
Common terms and phrases
a₁ algorithm approximation arithmetic b₁ b₁(x b₂ called Chapter Chebyshev nodes coefficients complete pivoting compute convergence distinct points error example EXERCISES Section f₁ false position Fetch fi+1 finite flow diagram formula functional evaluations Gaussian elimination Gaussian quadrature given Hermite interpolation integration rule interchange interval iteration Lagrange interpolating polynomial least squares Lemma let p(x linear system machine method of false multi-point methods multi-step methods Newton's method numerical analysis O(h² obtained Ordinary Differential Equations P₁ partial pivoting piecewise polynomial interpolation polynomial of degree polynomial P(x predictor-corrector problem Proof r₁ R₂(x Ralston rectangle rule scaling sequence Simpson's rule single step methods solution solve Suppose system of equations Taylor's theorem tion trapezoidal rule triangular decomposition value theorem vanishes Wendroff x₁ X₂ Xi+1 xn+1 Y₁ Y₂+1 Yn+1 zero ду