Applied Numerical MethodsInterpolation and approximation; Numerical integration; Solution of equations; Matrices and related topics; Systems of equations; The approximation of the solution of ordinary differential equations; Approximation of the solution of partial differential equations; Statistical methods. |
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a₁ algorithm approximation argument assumed b₁ base points Bernoulli's method calculations CALL Chebyshev polynomials coefficient matrix column Computer Output Continued constant convergence corresponding Data Set derivative determinant diagonal divided differences divided-difference eigenvalues eigenvectors elements EPS1 error term estimate Euler's method evaluate example finite-difference FORMAT FORTRAN functional values Gauss-Legendre quadrature Gauss-Seidel method given grid heat IDEG initial conditions integration interpolating polynomial interval INVERSE MATRIX IPRINT ITMAX k₁ magnitude main program maximum mole nomial number of iterations ordinary differential equations pivot Pn(x polynomial of degree PRINT Problem procedure Program Listing Continued quadrature formula roots round-off error Runge-Kutta Runge-Kutta method Section sequence Simpson's rule solution solved step subroutine subscripts T₁ Table temperature tion TMAX transformation truncation error u₁ variable vector velocity Write a program x₁ XARG XMAX y₁ Yi+1 zero