Numerical Methods for Engineers: With Personal Computer Applications |
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Contents
ORDINARY DIFFERENTIAL EQUATIONS | 5 |
PARTI NUMERICAL METHODS AND PERSONAL COMPUTERS | 7 |
Approximations and Errors | 58 |
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addition algorithm analytical applied approximation bisection method calculated Chap computer program convergence corrector data points depicted in Fig determine differential equation Euler's method evaluate example f(xo falling parachutist flowcharts FORTRAN FORTRAN and BASIC fourth-order function Gauss elimination Gauss quadrature Gauss-Jordan method 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