Numerical Methods for Scientists and Engineers |
Contents
THE DIFFERENCE CALCULUS | 3 |
ROUNDOFF NOISE | 24 |
THE SUMMATION CALCULUS | 39 |
Copyright | |
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a₁ accuracy analytic answer approach approximation b₁ band-limited function bisection method C₁ calculus Chap chapter Chebyshev polynomials coefficients computing consider constant sign convergence corrector corresponding derivative determine difference equation differential equation digits discussed distribution eliminate equally spaced error term estimate exact examine example EXERCISE filter finite Fourier series frequency given gives hence indefinite integrals integrand interpolation interval inverse matrix linear machine matrix method Newton-Cotes formulas noise notation numerical analysis orthogonal orthogonal polynomials parameters polynomial of degree predictor problem random numbers rational function Runge-Kutta method sample points sample polynomial Simpson's formula simulation singularity situation solution solve stability step Suppose Taylor series theorem theory tion transform trapezoid rule truncation error usually values variable weights y₁ Yn+1 zero