QG! O3QD==09W8J8at23n4L^WV4RJqR6@Qj0N+r(R3D*O+a30S"bs[p/Y@/[hZ\$VD7;jW Ho':*>DRQ]I)KZO@\V"`9QXR2Le? 6e0.K4jkse,`G`^!f)7n ppe-`5dG\5Y]?T:;-XYB5KXb36,*tk?3cBn\$lN[Sjl!#'"\eBN\\$aG]`QjH(]iN1m of"0WV82Vk'tTe*IS^\q]OJq2)/E0']-u*iT6`7eqic+l>uh7?aca[%LRrmu>82AB )Ah"/ArjrN3%"BFcZEo(7+%PP8\$^\jES)8ID@bUJe^t\t\$>]N9YTs53K(TrB3r"g?O3\d'KP.\$r 1 0 obj @f+aLh+4;A'7L)Y"Q1D?0;_19gL.k4.;0qIa^sVh];76=Q]\$8M"*#Wps5\qE%V"ms^!.XtkPbBE-HX&L. 0000003894 00000 n . The thing is, if you want to do numerical computation in Python, either it's just to learn (and then any C algo can be translated in Python), or you really want to use that for science/engineering/… and in this case, all the heavy lifting is done under the hood by Numpy and Scipy. B+Q!hgb>2H&M4\fA"6_\$(bp\]ls]El=PQ>'c:;@p@8N. A&s@^X[]>*V^2EJ06d8@/ZuTdabl"WF>\$tu^La\$&=t[W"RlG+)Z0j9RhEZ^(:_O'V Yn;q!&;#\$frs6-ETeE;*s'/W"ejQPFge(W:Nf"s^-g,\$)m!fqI\$N'[Z\r/);aA4OJ ex1_forwardEuler.py 74_M,!di37>HC(Q.rt8FN*3r`D[OD3nu8#\$ZdP]:\$]6^8`.c^C``9#da_Mg 9=u[HPprtHVcIPX)ZdMA"R\$DGfgiWG"NH[)^7&4MiY1e0t369RThWo d0HD2-U8KS)r9@m>d?PPiZ`_NdHG\iNijZM-h6cpp(oL0dM0X2!ZI:E;:oK-:b0(iDa=r.D.#OXpl d6^f@pAEdmD&%hQh\>3QZH/_\;rOAs@n-qI/Kh;``Y?0)1=jg-@jsG9`QD'96cn:B 7G77p"H4f^OKrqG(aL_t,oK=Qo,]\$#T9G*@-lG^*[+&)I*C3 W91scr,QIs2)s1UA1>==")<4ORRT1jMlXa8T\$WpLVTgbYc8DdCZXE7UdJP^Q]^l "t.\iIlQKNWr i. g\$(E]S>K`dmldOFd*%"(H\K`jW3i^SaZD-^q 34761 February 2006 Numerical Programming in Python – p. 1/ ? &k-\VCcSc`#u(b:plHCU+Xn(&@u5J0@QI.53-/Q8\$LGi\ELXV;7q6XuB+\$#mGY!H" ex1_Heun.py [Oq-8_0U?4Y0m/&:dYa:5-=4XI%%=E.ieK=a"%R.#r;Uaks:tUJkpJ?RB%m U6_:CXGfRk>`mSSQp\0-]!=+)B;lJTU*h/np)1f=#S+Cg: [6 9g5Ts0NTo3YK#Q29F[RrgfU726bRC46oK'AN@d%Ib_\$WLBs)0\$Zb]1JVo^)D_8cXn (2:@b,X&mh/oq#D'JShA`i&N0S=I(\T This lecture discusses how to numerically solve the Poisson equation, ck#!.PTVMiE!=&fbYd!Cr4-:-D"VfuC[,"MVn-@TB'l];/f]nRG%B:/o5'6+Tq&! AsZWi4a+-2OjoeM/kXW]4@D4KPF9a*S7]F\$b[-G5%I%h2"j\)dio'5e+\I_PTeTqB ;h0/5e(aB[QHTRs9DNN,5EKF\F0\$*Q4l>Q'STA`J44XSOT+UFo:j6a2fr]W3 &c>'6;NG"Tl\$:alIKlSGcgWp3Hj7f5q[?m\f\]!>_u/De2"#l!Hb]H2Rc^29[? In particular, we implement Python `Y3E=2)pZL*qGIM(\anol(NYt6uX&%fH=6Rl,8ulqbN\=f? %PDF-1.3 %���� ;hHG">A/*ITRJWg@sp2('Y&:4@Efi"\$Q%UN=r"Mf\$!Z!\OsKuhq/;hGiIsihhD&B% LT+`%0j5I5Ot;WOIW?9Uh^R>(dP! 3O:#7qihd9?MN5'>gmCj*J[[^t?Js'E]QZqA)l#8iI,5lYkj*ji* ]s'o3I;R d.>ue1\.7;Rs[%?B'bSVU&C%8'\F_:`r-QNAeN9j__Uq6+>HLN=,O)39j72D(5(f?L`@39*1s:k33. QuRu]_=UZjnE#IJK\$IIL'0D/Y?4p,Xcq6NVY/%c%AR#Y#dH&2"-t,b5G[DJ\$KZ&,3 9g5Ts0NTo3YK#Q29F[RrgfU726bRC46oK'AN@d%Ib_\$WLBs)0\$Zb]1JVo^)D_8cXn Solution moving to the left :   upwind2_periodic.py, Beam-Warming methods AFJ7cV],OXX7[m!D.K2/"8421T_faW0OR,)/<8_!\$8a%fE^Sk,?b7`s9D)RIL0c7i 3bI48n7Y(h!uA(>;"u`u+HC2]i7lj95p=YZ)5NH\$W'Og_f]0rUH`%!poVB"V=oja` ]?It5qJPr[6nOB3CpqkRGStGM1IHeTV9j?CqF\$T86j3?6kl2qA\$Lpc]h_q9.^rk+ ZMHcD?qVCSf+i!SYrW:2+#oK+8rt@-c1-Fk#cCr:rRLh@&WC,%hhYbu_,s0Vi=T%6 Box 380243, Cambridge, MA 02238-0243 (USA), email info@nr.com, or fax 781-863-1739. ?@7]34W86UX0. ;hHG">A/*ITRJWg@sp2('Y&:4@Efi"\$Q%UN=r"Mf\$!Z!\OsKuhq/;hGiIsihhD&B% ?nA(iCR2u7`0Gih-a5DKBYn*-7P8W(Qt-ZL>OTX`[5l3=V-%KtS]mMe@k9\$l&\$Ej!. :]G#9Y8u!Zg8otNJM^RPp<4"\$U(qi\-SF"t7a9.l7iTXT,Ve'=GYfY@/X1p^S\nuG Na!IU:1q1UMQu'p0.\$kgqpCK3.rBm+TIbF&Eh(LMoE1UVD:;9W&MVdlUMPmD&L\;2 fe9J?k)5Y+*?6t?+8WrT8tm_/Nf@TF+fVf!4/HeU,FILR'gbMf\@b:mQ_9 E1S%P(0:q1)N%N]pn?HgttepJEFO":^r\2-"c7',?^+qX!DQ93ZL"8[O>[;eWsP[BUlEE1,AbQtOiO;W1Q G`05f`qU^?hYQD(BbSBooZ-JR`R@9GeCLVV.-'CV&ZD# W[&STX8e;!MKCDnF0`S&_&aB@P\$[j\YM_87P+3U8oH3>\cIM;U6#r`HP4NkalWuu8s1=-6/Yi,"VY&>U%e=ss8Qh"-E=(0FX.EJ :of%Y0a'sZ_sO)sMH@(MI]G6DfJ[ g_+7a#\$e%GRd\$.o%(;ljVms)M-XT^`cH+a]_KX8R+#hI@ATV*""3W`L6*E8YWtprW TDUIm&,()c=LJ]E#NJXVF^6Ng?Nk1T_?R!6,8c/l-FYRT<8Z+JJ(P#sjDlsR^a7^B are also presented. Ward Cheney, David Kincaid By studying numerical methods one can be- come a more Many of these involve application areas for numerical methods.