Résumé :
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Here are some highlights of the new material in this Second Edition: -a new chapter on integral equations and inverse methods, -a detailed treatment of multigrid methods for solving elliptic partial differential equations, -routines for band diagonal linear systems, -improved routines for linear algebra on sparse matrices, -Cholesky and QR decomposition, -orthogonal polynomials and Gaussian quadratures for arbitrary weight functions, -methods for calculating numerical derivatives, -Padé approximants, and rational Chebyshev approximation, -Bessel functions, and modified Bessel functions, of fractional order; and several other new special functions, -improved random number routines, -quasi-random sequences, -routines for adaptive and recursive Monte Carlo integration in highdimensional spaces, -globally convergent methods for sets of nonlinear equations. -simulated annealing minimization for continuous control spaces -fast Fourier transform (FFT) for real data in two and three dimensions -fast Fourier transform (FFT) using external storage -improves fast cosine transform routines -wavelet transforms -Fourier integrals with upper and lower limits -spectral analysis on unevenly sampled data -Savitzky-Golay smoothing filters -fitting straight line data with errors in both coordinates -a two-dimensional Kolomogorov-Smimoff test -the statistical bootstrap method -embedded Runge-Kutta-Fehlberg methods for differential equations -high-order methods for stiff differential equations -a new chapter on "less-numerical" algorithms, including Huffman and arithmetic coding, arbitrary precision arithmetic, and several other topics.
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