Computational Methods in Elementary Numerical Analysis |
Contents
An Introduction | 1 |
Physical examples | 7 |
Errors in Numerical Computation | 15 |
Copyright | |
33 other sections not shown
Common terms and phrases
a₁ accuracy algorithm approximation arithmetic b₁ calculate Chapter Chebyshev polynomials choose coefficients column Consider convergence decimal places defined definition denote derivative determine diagonal differential equation digits divided differences eigenvalues elementary reflector elements error bound error term evaluate Example Figure floating point function f function values Gauss-Seidel method Gaussian elimination given by Eq Hence Hermite interpolation integrating formula interpolation formula interval Lagrangian interpolating polynomial linear equations LU factorization matrix norm multiplicity Newton-Raphson method nonzero number of iterations numerical analysis obtain orthogonal parameters pivoting polynomial of degree problem produce program of Exercise quadratic reader root rounding error Runge-Kutta methods satisfies secant method sinh solution solve spline starting values subroutine Substituting system of equations system of linear Table tabular points Taylor series Theorem trapezoidal rule tridiagonal truncation error vector norm x₁ y₁ Yn+1 zero