Introduction to Numerical AnalysisAn introduction to the more basic theoretical elements of numerical analysis. The text covers the five most commonly required basic areas of computational mathematics. It provides examples and simple algorithms and computer listings are supplied for all methods used in the text. |
Contents
Taylor series | 11 |
Numbers errors and arithmetic | 29 |
Polynomial interpolation 55565 | 55 |
Copyright | |
10 other sections not shown
Common terms and phrases
A-stable absolute error Algebra algorithm approximation arithmetic augmented matrix b₁ behaviour bisection method c₁ coefficients column constant convergence cubic decimal places defined DERIVE Experiment difference equation differential digits divided difference equal equispaced error analysis error bound estimate Euler's method evaluate Example expression f(xo Figure first-order formula forward elimination function f function values Gauss gives graph implemented integration interpolating polynomial interval least-squares linear logistic mapping Maclaurin Maclaurin series mathematics matrix Newton Newton-Raphson nodes numerical methods numerical solution obtained P₁(x pivot Plot Pn(x quadratic R₁ rectangle rules recurrence relation relative error result root rounding error Runge-Kutta method second-order Section Simplify solve spline step size h sub-intervals Taylor polynomial Taylor series Taylor's theorem term trapezium rule truncation error x₁ Xn+1 y(xn Yn+1 zero ΧΟ