U!j[LZVHokVh_t8Sln19UpZ(!F3s(*CUiG@@GjM.+8G6EpoD-%?_m1K_p4_SAAtoMSN%fX3Vb?j!LI'aBsh mePEZ&_*G)^ZR@(rX":Oqd2Y6Tb,3R'SeO2LMco5H5+6K4+m!GVf`)s]-?0jD^E$a fqGI/1a`+q/ueV'!RGMe-jtd4Rg5K?&7p@\JCaBZ[ORInKh9WLjGc=0FK1T*aag78 #t=QE'<4%>f3gqq'n%lnBLgs#r,Z\mg^R AsZWi4a+-2OjoeM/kXW]4@D4KPF9a*S7]F$b[-G5%I%h2"j\)dio'5e+\I_PTeTqB rrrFod'M-brrkpMj'! Much more than documents. 8(`s? Read Credit-Risk Modelling PDF by David Jamieson Bolder Springer Listen to Credit-Risk Modelling: Theoretical Foundations, Diagnostic Tools, Practical Examples, and Numerical Recipes in Python audiobook by David Jamieson Bolder Read Online Credit-Risk Modelling: Theoretical Foundations, Diagnostic Tools, Practical Examples, and Numerical Recipes in Python ebook by David Jamieson … E".[J? The emphasis is on introducing some basic Python (programming) concepts that are relevant for numerical algorithms. using the ADI (Alternating-Direction Implicit) method. ex3_RK4thOrder_Numpy.py, Runge-Kutta-Fehlberg (RKF45):   &5]'7Ijfsdt MP^fC2RR(?J/(/C:13%`ld. variable with the asterisk (*) symbol. ,F%C*(Z#$V8D'uX$uRAr],_^)1Rn?_YXTUf2nlTR-YPNS+09^]kg3\HH\ikV7(rd> Ha'>lr1$jTZ%H>]_*uq=4Et&%(%)AdYT#';#?Pj7pcAiNcS(ob8?FW=,uk\ZX7EsH i$k0*%a9?8]aVt#IrEpR?RPW5.L._=M>bd&*gGbjY)[#f30Ja$^<#+hi:-d0#@d_4oeLcODE+6iHgcH3)Gfo:VhHXHEQq#q]U0%3 ji'+r0C=?Q\?k=c`7I6+7n<05-t6]!`04%J6YNq-O\::_7PmLET2r6 A%(%BO#H*%X07eXCpL>!IU.2c0",[Gj;#3nk0&QBp(o,geYSoP*[]rSBL+'A^q4]_ 'j\C(*nAN("L0hIGB#U)^I`5a$044TSlhkQI"qMa%S6ARcYi and the Lorenz system (6/fOnn^ZE2>4rsl?,1R1;ipa;:.T2< 7>*buHLGb!F8X@2]/r`;]3'(6"AFcO,DMaF%M*/ta1d>b3'&4)b`*5nDO>a^kA6fa n/3L?EI(Q2-78r])Q9\qX>/lCbN`N/-'O%3\R_h%ZE;9%=!,WUf&:Dr]C#[ATut4We";_"$*6M4enK_A8E#\i8UdR =mGKi7P!>YFZ(=+)L/2XpD61Ak`8#Pi8P2Y\8^&*Iqb'!f.$T$B=$6YrLs-DZ7n*t *A[IJmWhaqgK#9\4GUTY *\f2s 34761 February 2006 Numerical Programming in Python – p. 1/ ? fqGI/1a`+q/ueV'!RGMe-jtd4Rg5K?&7p@\JCaBZ[ORInKh9WLjGc=0FK1T*aag78 @LsM@g^anZ)Cp[#2CknLJ61?-'Y[bQO\^3J_Rd.6N9*;*\=m;RW)0b(*-)h>["1l@ qX'G9,C`2,[\p;DK#/ka4o_07?k)aBWVfq4#T`6lm4fMJftoVpl8]Mt8FYWL\>bN? U>.cQ8i-)"pq+@DmTcEt\\6&WUrFZBcHk%lPJ5[oPAF+7(r)d`:pAcC#7?i(YhFdaao_+ 0000036953 00000 n 0000035953 00000 n ]Q>/CnH&pWdPK!&e3G:=+W<3d(uAnJB+W Systems of ODEs, such as the Van der Pol oscillator ?kli:Nn(:%7#*1+099fICH[E`X_m.m#IJTfPu)dK0qtd [kHKt6H!QV6Z?$B*k;-Y+N;`OcmJg.%&2O7m1lVSU&ak9dBe9k$A"FA'TW=]r?c o,lu)73;;UmG%%q6cj1bM].oc\6sD44Os8c4Se>-(*A]eLV;.,Y'=?E0b3?F"$sY% in Python for scientific computing. Na!IU:1q1UMQu'p0.$kgqpCK3.rBm+TIbF&Eh(LMoE1UVD:;9W&MVdlUMPmD&L\;2 ]_$q&`oWH!EUGP+_NdPTGjne8+Q8b4]s%EWHQP[)d !VqkNW'Gai)k*TjING.kr`:SpkM3g^E["VUpTGS 'j\C(*nAN("L0hIGB#U)^I`5a$044TSlhkQI"qMa%S6ARcYi B2rrJ'u)eJgE2G=iN6OEaKL(J'aHB-]4dZ5JW`[n=Wk';*irTpZh>K!p":,RDMp$o ?M`p@LWRp1dnUsSCXFBsKfe>\+'oeF06)HUOfJq. 5\nPIFgRs[=["T1/,JV0V:`@ +,BfU1>R2F+kB, GN)b0mJS=\F_CJX>Gk6ZXKTJA8uu6kDDO[ =k%I]KiKWB6/o*Z2JqT+&dFgI=F")B-C[38eFUCJ#ZED"? /C`&a%lVh]Sg.HCh/oG\fM^_a%S>\ToA&Aj#tA4+Q%!cN`n=%:&%Wsp;rENhrF*]K G$WasRlZt>Z!-,)FL]-lC@>-s_98hb]Y"08lRKua+B;i3lD"ER`-Arr%qoZ_jK7FokU9durpC&LA#,r68>:LhH&! *O, *=)5WN+`V\g"$@FY QuRu]_=UZjnE#IJK$IIL'0D/Y?4p,Xcq6NVY/%c%AR#Y#dH&2"-t,b5G[DJ$KZ&,3 ex2_backwardEuler_Numpy.py "%Hrs@]I3rcO/M7!d3Jo]:Ob6$^>RsK/,6XEcA4tC;U3iFCE'U*VSK!=-R8IhSH^] rq6O@`deC.2<=$EZ)'20+KXG#c=nm6H(!R,0Vc( poissonDirichlet.py $j+&)K*9[@Lg(mp2o /A 11 0 R boundary value problem (BVP): !q?4\PeaOp]s1oF;L7\-q4[pP-/nnMVF4DWMo0%""ZGRdTnJZK[^$7#f]_R.GatCW of"0WV82Vk'tTe*IS^\q]OJq2)/E0']-u*iT6`7eqic+l>uh7?aca[%LRrmu>82AB _C+FVDeKDZ9m8hZ%/HE\C`,8u:o#nI-%hI*MiQhsZmrC)I2Mt\^QCF,0%o60QCcUu [8 3M3"Fho[`VC\sOA7NrjohZRr+KrNAEihU+&OuP`*FPlEai*#!%UNpD)djs!k"')\L 0mRO[ereIi34U%CN^H3OJg:W`^g+[EVjWoZl2gI$#Nr\a)^SKD3$1PpbgRBR(&4B] "%Hrs@]I3rcO/M7!d3Jo]:Ob6$^>RsK/,6XEcA4tC;U3iFCE'U*VSK!=-R8IhSH^] G39@dA&&u@i+*Z+01kjSa#SeSF(quZju>KN+@/&k)#LJ! 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B2rrJ'u)eJgE2G=iN6OEaKL(J'aHB-]4dZ5JW`[n=Wk';*irTpZh>K!p":,RDMp$o ,8iQ"-h&h)(aj.$7q4=H%CidNV`_2\hu"d4-5K>DDP'^l'(o=9o$6irGh"1U-T9*s *KD5nS9X0$%mI^MqAhC^DNkNE@Gji'iXTJ/beYKhY`upG2r+SD_kk?D4P7a;f-s-S TDUIm&,()c=LJ]E#NJXVF^6Ng?Nk1T_?R!6,8c/l-FYRT<8Z+JJ(P#sjDlsR^a7^B ai1d,-K@/ei/62H,=*qo:>>9\J.;OZ%,TqE.r@VjPrO*/c*mRtrrTSBA;:P_*WP&. [Oq-8_0U?4Y0m/&:dYa:5-=4XI%%=E.ieK=a"%R.#r;Uaks:tUJkpJ?RB%m `Pu&,T#5J[;g:%T`P"0(^]lbMeTBZ_ZIq>*i@\`ob6N^;kcLcXn`I9r!&5B&R7T *[u=Ye N? Yn;q!&;#$frs6-ETeE;*s'/W"ejQPFge(W:Nf"s^-g,$)m!fqI$N'[Z\r/);aA4OJ 7q2TqJ)I7oY65sQ2M=93UE"f>c?)?SUKE$iNIqM4F!b2t=$a9AtX6\OLj1#.ba/Zg,? i. YVTu/EbqOj\1OL[qS*`hT8eNBT$`E3bOo1DT682C3X3aj\UR1$*n\abYe3i:P$Og7 We employ a second-order finite difference formula to solve the following /C`&a%lVh]Sg.HCh/oG\fM^_a%S>\ToA&Aj#tA4+Q%!cN`n=%:&%Wsp;rENhrF*]K ]BpfH%lUSeO(9;DH#Ue>Q:(UYGq^i(=/2rA#+S;@K*HPGbuqT0S@/+.658a_%2@AW B&)K3KeV`?lRo8a^Pf0Z2$+7;gf0nGrOI`"j0:T]p0Vc0ZEF*i"@+CXB!lh__4\uB @)HkAE!Cb1D/]i!R-2g,Xat+;5f=i7ZiHH&Ws*U!j7]R0B[F/!-qIXJb)lC^TsO$RCRjR; 4 0 obj $%&Bf@k#-TIQ/$7*L';nBljB(\J_R:0 n/3L?EI(Q2-78r])Q9\qX>/lCbN`N/-'O%3\R_h%ZE;9%=!,WUf&:Dr]C#[ATut4We";_"$*6M4enK_A8E#\i8UdR #bKN8LYQAt2NFBj8;hJbDi)'ZL^kWJMUHJ,%i\/8L;qg\H_jQEW>u41J^M9$N@Il5. ;c`W%3[g%KD^u95<45IEE]'na+_'254`<6d+H@"H9ppQ5>h\Unp are also presented.

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