Numerical Mathematical Analysis

Résumé du livre

The accuracy of approximate calculations. Interpolation. Differences. Newton's formulas of interpolation. Central-difference formulas. Lagrange's formula. Inverse interpolation. The accuracy of interpolation formulas Interpolation with two independent variables. Numeral differentiation and integration. The accuracy of quadrature formulas. The solution of numerical algebraic and transcendental equations. Graeffe's root-squaring method for solving algebraic equations. The numerical solution of ordinary defeferential equations. The numerical solution of partial differential equations. The numerical solution of integral equations. The normall law of error and the principle of least squares. The precision of measurements. Empirical formulas. Harmonic analysis of empirical functions.