Métodos Numéricos Métodos Numéricos – Etn ETN-505

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E@G @EOTEK OIOC]TÓ@ECK LOCBK:

J_@EH 4>;; Ik ^kz & Dhie|ek ’Ksæ }kfdeå` Ctes}h luo hltocemh u`k sh ik |oz ~ktk iio|kt ihs ~ockmhs mo fucbhs1  k~ktocotë ~ht sogu`mk |oz) se` toikceó` ch` oi ~ockmh) ~ktk ski|kt k ih {uo io os~otk`‖ BODTOHS 5:42 ^ ge`k ;


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’Ksæ }kfdeå` Ctes}h luo hltocemh u`k shik |oz ~ktk iio|kt ihs ~ockmhs mo fucbhs1  k~ktocotë ~ht sogu`mk |oz) se` toikceó` ch` oi ~ockmh) ~ktk ski|kt k ihs {uo io os~otk`‖ BODTOHS 5:42 ^ëge`k 4




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7. E@]THM_CCEH@ K ih iktgh mo ik bes}htek mo ik fk}ofë}eck) so bk` mosktthiikmh fkòtks fks ku}hfë}ecks h ~thgtkfkmks ~ktk tokiezkt cëicuihs) }hmh os}h of~ozó ch` ik ctokceó` mo ckicuikmhtks iks cukios sef~ieleckdk` fucbh ki fhfo`}h mo tokiezkt h~otkcehòs kte}få}ecks chf~ieckmks) ik }oc`hihgæk luo e`ctofo`}k`mh mo fkòtk or~hò`ceki k ~kt}et mo oso e`s}k`}o) bks}k {uo iiogkfhs k ik otk mo ik chf~u}kceó`)  os}o }tkdkjh jus}kfo`}o os}k o`lhckmh k tokiezkt ~thgtkfks mo mes}e`}hs få}hmhs ùfåtechs) hteo`}kmh o` ik ~ik}klhtfk mo Dhtik`m C) oi ~toso`}o mhcufo`}h `h os k~}h ~ktk e`s}tuet o` ik fk}ofë}eck ki ioc}ht) ~ht osh os tochfo`mkdio {uo so }o`gk` ch`hcefeo`}hs mo CKIC_IH E) CKIC_IH EE) OC_KCEH@OS MELOTO@CEKIOS) KIGODTK IE@OKI) chfh fk}oteks dkso ~ktk ~hmot o`}o`mot ihs mes}e`}hs ~thgtkfks tokiezkmhs. O` oi CM kmju`}h) so o`cuo`}tk` }hmhs ihs ’ojocu}kdios‖) mo ihs ~thgtkfks k{uæ ~toso`}kmhs. So }hcktk` }ofks chfh: Iks tkæcos mo u`k ocukceó` o` u` e`}ot|kih mkmh) meloto`ceks leè}ks mo u` ch`ju`}h mo mk}hs) meloto`cekceó` ùfåteck) e`}ogtkceó` ùfåteck) ocukcehòs meloto`cekios htme`kteks) ses}ofk mo ocukcehòs meloto`cekios htme`kteks)  o` ik ~kt}o mo kòrhs kigu`hs ~thgtkfks mo ush fu ú}ei chfh os oi gtkleckmht mo lu`cehòs o` 4M)  ~thgtkfks tokiezkmhs o` FK]IKD }kfdeå` fu ú}eios ki fhfo`}h mo k`kiezkt u` k`ëieses fk}ofë}ech. Os~otk`mh {uo oi mhcufo`}h sok mo gtk` kumk ~ktk fucbhs os}umek`}os mo e`goèotæk o` goòtki e`}otoskmhs o` ik ~thgtkfkceó`  o` ihs få}hmhs ùfåtechs. Gtkceks… Meogh O`te{uo [uefdot} Fh`}os _è|otsemkm Fkht mo Sk` K`mtås Dhie|ek & Ik ^kz – 4>;;

’Ksæ }kfdeå` Ctes}h luo hltocemh u`k shik |oz ~ktk iio|kt ihs ~ockmhs mo fucbhs1  k~ktocotë ~ht sogu`mk |oz) se` toikceó` ch` oi ~ockmh) ~ktk ski|kt k ihs {uo io os~otk`‖ BODTOHS 5:42 ^ëge`k =




2. HDJO]E\HS 2.;. HDJO]E\H GO@OTKI ․

^hmot mosktthiikt mo fkòtk ciktk  htmo`kmk ihs ~thgtkfks mo mes}e`}hs få}hmhs ùfåtechs) hteo`}kmh k ik ~ik}klhtfk Dhtik`m C.

2.4. HDJO]E\HS OSÔCELECHS ․

Mosktthiikt iks se`}kres mo ihs mes}e`}hs ~thgtkfks ~toso`}kmhs o` oi CM.

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Bkcot u` ush fu tech mo iks mes}e`}ks iedtotæks ores}o`}os o` oi Chf~eikmht

’Ksæ }kfdeå` Ctes}h luo hltocemh u`k shik |oz ~ktk iio|kt ihs ~ockmhs mo fucbhs1  k~ktocotë ~ht sogu`mk |oz) se` toikceó` ch` oi ~ockmh) ~ktk ski|kt k ihs {uo io os~otk`‖ BODTOHS 5:42 ^ëge`k ?




5. FKTCH ]OHTECH ;

Os{uofk goòtki mo u` chf~u}kmht _` htmo`kmht os u` ses}ofk ck~kz mo kifkco`kt  ~thcoskt ch` gtk` tk~emoz u`k gtk` ck`}emkm mo e`lhtfkceó`. Kmofës) u` htmo`kmht }eoò ck~kcemkm ~ktk chfuècktso ch` oi or}oteht) tocedeo`mh mk}hs) ótmoòs  ~thgtkfks chfh o`}tkmk "~ht fomeh moi }ocikmh) moi tk}ó`) mo u` mes{uo}o) o}c.%)  ~th~htceh`k`mh tosui}kmhs mo mes}e`}h }e~h chfh skiemk "o` ik ~k`}kiik) ~ht ik ef~toshtk) fomek`}o u` lecboth o` u` mes{uo}o) o}c.%. Ihs chf~u}kmhtos fhmot`hs }eoò` }kfdeå` u`k gtk` ck~kcemkm mo chòc}ktso o` tom ~ktk chfuècktso o`}to sæ) e`}otckfdek`mh fo`skjos  lecboths) h chf~kt}eo`mh tocutshs }kios chfh }eof~h mo C^_) ef~toshtks) ioc}htos mo CM&THF) oscëòtos) o}c. O` ik kc}ukiemkm) os}ks tomos mo htmo`kmhtos }eoò` chdot}utk tokifo`}o fu`meki)  ~ksk` ~ht o`cefk mo lth`}otks) mo ch`}eò`}os) o e`ciush mo fktcks  fhmoihs mo htmo`kmht. Ihs chf~u}kmhtos {uo so u}eiezk` kc}ukifo`}o }eoò` ik cktkc}otæs}eck chfú` mo sot ses}ofks mege}kios. [ueoto os}h mocet {uo ih {uo bkco` dëseckfo`}o os }tkdkjkt k gtk` |oihcemkm ch` u`k gtk` ck`}emkm mo u`hs  coths. Ik fofhtek mo u` chf~u}kmht ch`}eoò feiihòs mo fe`úscuihs e`}ottu~}htos oioc}tóèchs "}tk`ses}htos% {uo ~uomo` os}kt o` ~hseceó` h` u hll . Ki `h }oòt ~kt}os focëècks fó|eios) sh` ck~kcos mo ckfdekt mo os}kmh fucbhs feiihòs mo |ocos ~ht sogu`mh. Ik }oc`hihgæk fhmot`k bk ~otfe}emh feèk}utezkt os}hs ses}ofks  ~thmucetihs o` gtk`mos ck`}emkmos ~ht u` ~toceh |otmkmotkfo`}o temæcuih.

Kc}ukifo`}o) ihs htmo`kmhtos os}ë` ~toso`}os o` ckse }hmks ~kt}os: cuki{ueot ku}hfó|ei  gtk` `úfoth mo oioc}thmhfås}echs e`cht~htk` u`h h –~thdkdiofo`}o– |ktehs ~thcoskmhtos mege}kios. Ik meloto`cek ~te`ce~ki o`}to os}hs ses}ofks  ihs chf~u}kmhtos ~otsh`kios –^Cs– {uo so u}eiezk` o` iks ~tëc}ecks mo os}k kseg`k}utk) os}ë shdto }hmh o` oi cktëc}ot os~ocekiezkmh h mo ~th~óse}h goòtki {uo }eoò`) tos~oc}e|kfo`}o) kfdhs }e~hs mo htmo`kmhtos. Oi ~thcoskmht {uo cbo{uok oi ses}ofk oiåc}tech mo u` ku}hfó|ei os}ë mesoûkmh ~ktk osh  ~thdkdiofo`}o `h os ck~kz mo bkcot h}tk chsk1 ~ht osh `h òcose}k mo fucbhs oiofo`}hs kureiektos. ^ht oi ch`}tkteh) u` ^C ch` u`k ch`legutkceó` os}ë`mkt ~uomo momecktso k fui}e}um mo }ktoks) mosmo ch`}kdeiemkm mhfås}eck h ~thloseh`ki) ~thcoskfeo`}h mo }or}hs) medujh kt}æs}ech  }åcèch) cëicuihs ceo`}ælechs) o}c.) bks}k juoghs "«mosmo iuogh `h o` os}k kseg`k}utk) ki fo`hs ~ht oi fhfo`}h...+%.

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’K~to`mk io`gukjo K`se C chfh se os}u|eotk o` ~tefoth‖ OSC_OIK S_ÔTEHT MO E@GO@EOTHS E@M_S]TEKIOS. _@E\OTSEMKM MO @K\KTTK Jkih` mo ik Luo`}o) Thmteguoz Gkttemh) Ghûe Iksbotks) Dtkzëios Guottk) Luo`}os Fkt}eòs) Thmteguoz ]kfkh ’Ksæ }kfdeå` Ctes}h luo hltocemh u`k shik |oz ~ktk iio|kt ihs ~ockmhs mo fucbhs1  k~ktocotë ~ht sogu`mk |oz) se` toikceó` ch` oi ~ockmh) ~ktk ski|kt k ihs {uo io os~otk`‖ BODTOHS 5:42 ^ëge`k <




;>. FO]HMHS @_FOTECHS O@ IK ÎK]KLHTFK C!! ;>.;.OR^H@O@CEKI MO C_KI[_EOT @ÚFOTH #e`ciumo9chèh.b0 #e`ciumo9s}meh.b0 #e`ciumo9fk}b.b0

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’Ksæ }kfdeå` Ctes}h luo hltocemh u`k shik |oz ~ktk iio|kt ihs ~ockmhs mo fucbhs1  k~ktocotë ~ht sogu`mk |oz) se` toikceó` ch` oi ~ockmh) ~ktk ski|kt k ihs {uo io os~otk`‖ BODTOHS 5:42 ^ëge`k ;>




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;>.5.4.



S_FK MO ]TKÔCEHS

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;>.5.3.



FO]HMH MO SEF^SH@

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;;. CH@CI_SEH@OS ^hmofhs mocet {uo o` oi }tk`scutsh mo }tkdkjh tokiezkfhs u` ush fu tech mo iks mes}e`}ks iedtotæks {uo ~toso`}k oi ~thgtkfk mo Dhtik`m C) ~oth os duo`h mocet {uo ores}o` fucbks iedtktæks fks {uo `h so u}eiezkth` o` oi ~toso`}o }tkdkjh) }kfdeå` tokiezkfhs iks se`}kres mo fucbhs ~thgtkfks mo fkòtk htmo`kmk  ciktk) ksæ cuf~ieo`mh ch` ùos}ths hdjo}e|hs ~to|ekfo`}o ~ik`}okmhs ~hmofhs ch`ciuet {uo oi mhcufo`}h so tokiezh mo fkòtk sk}eslkc}htek) os~otk`mh seof~to tochfo`mkcehòs  sugoto`ceks mo fucbhs ioc}htos)  kgtkmoceo`mh o k`}ofk`h }hmks sus cte}ecks ch`s}tuc}e|ks) }kfdeå` kgtkmocot k ik ieco`cekmk \. Zh}k _ûh mhco`}o }e}uikt mo ik ckttotk mo E`goèotæk Oioc}tóèck {uo u` sofos}to k`}os `hs mec}h ik fk}otek mo ^thgtkfkceó` ’O]@&3>7‖ {uo luo mo gtk`k kumk ~ktk os}o }tkdkjh) ksæ ch`ciuh {uo oi }tkdkjh so ih tokiezó mo fkòtk sk}eslkc}htek.

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Métodos Numéricos Métodos Numéricos – Etn ETN-505

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