数値天文学入門 - pholus.mtk.nao.ac.jp

2006.. 1. 10.. 2. 11.. 3. 12.. I. 1 . 4.. 13.. 5. II.. 6. 14.. 7. III.. 8. 15.. 9. 16.. (2).. Ralston and Rabinowitz . Kernighan . Numerical Recipes . 1.. IEEE754 .. (integer) (real) (complex). (fixed) . (floating) .. x = s m be (sign) s= 1 (base) b=2 or 16. (mantissa) m (exponent) e . Fortran C . (bit ). Real*4 float 24+8 2-24 ~ Real*8 double 53+11 2-53 ~ Real*10 - 64+16 2-64 ~ 4 Real*16 long 113+15 2-113 ~ double & .. m .. (nominal) . =x/x0, u=v/v0 .. e := exp( ), := *atan ( ) , 2 := sqrt ( ). 1 n . , 2 , n !, n !!, . n n m .. = e = . 1999 . Mathematica, Maple: . MATLAB: . MAXIMA: Mathematica . scilab: MATLAB . awk, bc, perl: . GnuMP: . GNUPLOT: .. IMSL, NAG, LAPACK. NUMPAC. Numerical Recipe . NetLIB: . GSL(=GNU Sci. Lib.): C, C++. SLATEC: Fortran, FFTW: FFT .. Cnm = Ank Bkm k (Strassen) .. : x~0 1-cos(x).. (Taylor) . f ( x) = .. f ( n). ( x0 ).. ( x x0 ). n n =0 n!

数値天文学入門 ー天文学で用いる数値技法ー 福島登志夫 東京大学、総合研究大学院大学 2006

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