Numerical Methods for Engineers: With Personal Computer Applications

a₁ addition algorithm analytical applied approximation bisection method calculated Chap computer program convergence curve data points depicted in Fig determine differential equation Euler's method evaluate example f(xi f(xo falling parachutist false-position method FORTRAN FORTRAN and BASIC function Gauss elimination Gauss quadrature Gauss-Seidel method higher-order initial guesses INPUT interpolating polynomial interval iterations linear algebraic equations linear regression mathematical matrix inverse multiple multiple-segment Newton-Cotes Newton-Raphson method Newton's numerical integration numerical methods NUMERICOMP software obtain percent relative error Perform personal computers pivoting plot predict Problem Statement provides represents Romberg integration round-off error secant method second derivative second-order segments significant figures Simpson's 1/3 rule Simpson's rules slope solution solve step straight line Study SUBROUTINE substituted into Eq Table Taylor series Taylor series expansion techniques third-order trapezoidal rule true value truncation error user-friendly variable velocity x₁ Xi+1 y₁ Yi+1 yield zero