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SUMS AND DIFFERENCES OF POLYNOMIALS | 46 |
LAGRANGIAN METHODS OF INTERPOLATION DIFFERENTIATION | 69 |
CHAPTER 4 | 87 |
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A₁ accuracy applied approximation ascending factorials assume b₁ b₂ Bessel boundary conditions C₁ calculation central differences Chapter coefficients column computation convenient convergence corresponding decimals derived described diagonal difference equations differential equation digits divided differences elements estimate evaluated Example expansion F₁ factor factorial moments finite difference formula function G₁ give given Hence integral equation interpolation interval inverse involve iterative iterative methods Lagrange polynomial latent roots latent vectors linear equations machines Math matrix method multiplication Newton Newton-Cotes formula obtained operations orthogonal orthogonal polynomials P₁ points polynomial possible problem procedure quadrature R₁ R₂ recurrence relation relaxation replaced residuals result rounding errors sequence shown simple Simpson's rule solution solving suitable symmetric matrix symmetrical tabular tabulated Taylor series u₁ usually values variables X₁ y₁ zero