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: 3 $B;YG[J}Dx<0!&NO3X2aDx(B : DCPAM4 $BBh(B2$BIt(B $BN%;62=(B : 1 $B$3$NJ8=q$K$D$$$F(B


2 $B:BI87O!&JQ498x<0(B

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0.2 $B:BI87O(B

$B$3$3$G$O?eJ?3J;RE@(B, $B1tD>%l%Y%k$N$H$jJ}$r5-$9(B. $B$5$i$K(B, $BNO3X2aDx$N;~4V@QJ,$K$*$$$F;HMQ$9$k?eJ?%9%Z%/%H%k$rDj5A$7(B, $B3J;RE@CM$H%9%Z%/%H%k$N78?t$H$NJQ49B'$r5-$9(B.

0.2.1 $B?eJ?3J;R(B

$B?eJ?J}8~$N3J;RE@$N0LCV$O(B, Gauss $B0^EY!J3J;RE@?t(B $B8D(B1$B!K(B, $BEy4V3V$N7PEY!JF1(B $B8D!K$G$"$k(B.

0.2.2 $B1tD>%l%Y%k(B

Arakawa and Suarez(1983) $B$N%9%-!<%`$rMQ$$$k(B. $B$H$jJ}$O0J2<$N$H$*$j$G$"$k(B3.

$B2<$NAX$+$i>e$X$HAX$NHV9f$r$D$1$k(B. $B@0?t%l%Y%k$HH>@0?t%l%Y%k$rDj5A$9$k(B4. $BH>@0?t%l%Y%k$G$N(B $B$NCM(B $B$rDj5A$9$k(B. $B$?$@$7(B, $B%l%Y%k(B $B$O2eC<(B()$B$H$9$k(B. $B@0?t%l%Y%k$N(B $B$NCM(B $B$O

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$B$?$@$7(B, $B$G$"$k(B. $B$3$3$G(B, $B$O4%Ag6u5$$N5$BNDj?t(B, $B$O4%Ag6u5$$NEy05HfG.$G$"$k(B5 $B$^$?(B, $B%l%Y%k2C=E(B $B&$&R$O0J2<$N$h$&$KDj5A$5$l$k(B.

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0.3 $B?eJ?%9%Z%/%H%k(B

$B$3$3$G$O(B, $BNO3X2aDx$N;~4V@QJ,$G$N7W;;$K$*$$$FMQ$$$k%9%Z%/%H%k$rF3F~$7(B, $B3J;RE@$G$NCM$H%9%Z%/%H%k$N78?t$H$N$d$j

0.3.1 $B?eJ?%9%Z%/%H%k$N4pDl$NF3F~(B

$B3J;RE@>e$NE@$GDj5A$5$l$?J*M}NL$O(B, $B3J;RE@>e$G$N$_CM$r;}$D!J0J2<$3$N$3$H$r(B, $B!VN%;62=$7$?!W$H8F$V!K(B $B5eLLD4OBH!?t$NOB$N7A$GI=8=$5$l$k(B. $B$^$?(B, $B3F3J;RE@$K$*$1$kJ*M}NL$N?eJ?HyJ,$rI>2A$9$k$?$a$K(B, $BLL$GDj5A$5$l$?!J0J2<(B, $B!VO"B37O$N!W$H8F$V!K(B $B5eLLD4OBH!?t7O$GFbA^$7$FF@$i$l$k4X?t$rMQ$$$k(B. $B$3$3$G$O$=$N5eLLD4OBH!?t$rF3F~$9$k(B. $B$J$*(B, $B4JC1$N$?$a$K(B, $BO"B37O$N5eLLD4OBH!?t$N$_$rM[$K5-$9(B. $BN%;67O$N5eLLD4OBH!?t$O(B $BO"B37O$N5eLLD4OBH!?t$K3J;RE@$N:BI8$rBeF~$7$?$b$N$+$i9=@.$5$l$k(B.

$BLL$K$*$$$F(B, $B5eLLD4OBH!?t(B $B$O

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$B$?$@$7(B, $B$O(B $B$rK~$?$9@0?t$G$"$j(B, $B$O(B 2$B$G5,3J2=$5$l$?(BLegendre$BH!?t!&GfH!?t(B
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    (9)

$B$G$"$k(B. $B$J$*(B, $B$r(B $B$H$b=q$/(B.

0.3.2 $BGH?t@ZCG(B

$BGH?t@ZCG$O;03Q7A@ZCG!J(BT$B!K$^$?$OJ?9T;MJU7A@ZCG!J(BR$B!K$H$9$k(B. M , N $B$O;03Q7A@ZCG(B, $BJ?9T;MJU7A@ZCG$N$H$-$K$D$$$F(B $B$=$l$>$l0J2<$N$H$*$j$G$"$k(B. $B$?$@$7(B, $B@ZCGGH?t$r(B $B$H$9$k(B.



$B$h$/MQ$$$i$l$kCM$NNc$H$7$F$O(B, T42 $B$N>l9g(B , R21 $B$N>l9g(B $B$,$"$k(B.

$B$J$*(B, $B5eLLD4OBH!?t$K$D$$$F$O%j%U%!%l%s%9!V5eLLD4OBH!?t!W$r(B, $BGH?t@ZCG$K$D$$$F$O%j%U%!%l%s%9!VGH?t@ZCG!W$r(B $B;2>H$;$h(B.

0.3.3 $BN%;62=$7$?%9%Z%/%H%k$N4pDl$ND>8r@-(B

$BN%;62=$7$?(BLegendre$BH!?t$H;03Q4X?t$O(B $B8r>r7o$rK~$?$9(B6.

    (10)
    (11)

$B$3$3$G(B $B$O(B Gauss $B2Y=E$G(B, $B$G$"$k(B.

0.3.4 $B3J;RE@CM$H%9%Z%/%H%k$N78?t$H$NJQ49K!(B

$BJ*M}NL(B $B$N(B $B3J;RE@(B $B!J$?$@$7(B $B!K$G$NCM(B $B$H(B $B%9%Z%/%H%k6u4V$G$N(B $B!J$?$@$7(B $B!K(B $B$N78?t(B $B$H$O$&(B7.


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$B$, $B$J$N$G(B, $B$K$D$$$F$OIi$G$J$$@0?t$NHO0O$G(B $BOB$r$H$k$3$H$,$G$-$k(B8. $B$?$@$7(B, $B$NDj5A$r=$@5$7$F$$$k$3$H$KCm0U$;$h(B.


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0.3.5 $BFbA^8x<0(B

$B6u4V$GDj5A$5$l$kJ*M}NL(B $B$r(B $B3J;RE@CM(B $B$r$b$H$KFbA^$9$k>l9g$K$O(B, $BJQ498x<0$rMQ$$$F(B $B$+$i(B $B$r5a$a$?>e$G(B,

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$B$H$7$FF@$k(B.

0.3.6 $B6u4VHyJ,$NI>2A(B

$B3F3J;RE@$K$*$1$k6u4VHyJ,CM$NI>2A$O(B, $BFbA^8x<0$rMQ$$$FF@$?O"B34X?t$N6u4VHyJ,$N3J;RE@CM$GI>2A$9$k(B.



... $B8D(B1
$B0J2<(B, $B$O6v?t$H$9$k(B. $B8=:_$NElBgHGBg5$(B GCM $B$G$O(B, $B!J(BGauss $B0^EY$H$7$F$H$k>l9g$K$O!K(B $B$O6v?t$G$J$1$l$P$J$i$J$$(B.
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$B$rK~$?$9(B $B\$7$/$O!V(BLegendre$BH!?t$N@-H(B.
$B$J$*(B, Gauss $B0^EY$O6a;wE*$K$O(B $B$GM?$($i$l$k(B.
... $B$H$jJ}$O0J2<$N$H$*$j$G$"$k(B3
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$BJ*M}NL$K$h$j(B, $B@0?t%l%Y%k$GDj5A$5$l$k$b$N$H(B, $BH>@0?t%l%Y%k$GDj5A$5$l$k$b$N$,$"$k(B.
... $B$O4%Ag6u5$$NEy05HfG.$G$"$k(B5
$B$$$:$l$bDj?t$H$7$F$$$k(B.
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$B>\$7$/$O%j%U%!%l%s%9!V5eLLD4OBH!?t$NN%;6E*D>8r4X78!W(B $B$r;2>H$;$h(B.
... $B$H$O$&(B7
$B@5JQ49(B, $B5UJQ49;~$N78?t$O(B consistent $B$KM?$($F$5$($$$l$PLdBj$,$J$$(B. $B8=:_$N(B GCM $B$G$O(B $B0[$J$kF0:n$r$9$k(B2$B$C$F$$$k(B. $B!J$b$&0l$D$O(B $BCfB<0l(B $BHG$G$"$k(B.$B!K(B $B;EMM$K$D$$$F(B $B>\$7$/$OBh#3It$N(B FFT $B$K4X$9$k9`L\(B $B!J!V(BFFT99X$B!W!K$r8+$i$l$?$$(B.
... $BOB$r$H$k$3$H$,$G$-$k(B8
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: 3 $B;YG[J}Dx<0!&NO3X2aDx(B : DCPAM4 $BBh(B2$BIt(B $BN%;62=(B : 1 $B$3$NJ8=q$K$D$$$F(B
Yasuhiro MORIKAWA $BJ?@.(B19$BG/(B7$B7n(B31$BF|(B