PRESENT STATUS AND DEVELOPMENT OF COMPUTING TECHNIQUES

• Document Type: CREST
• Collection: General CIA Records
• Document Number (FOIA) /ESDN (CREST): CIA-RDP82-00039R000100070050-9
• Release Decision: RIPPUB
• Original Classification: C
• Document Page Count: 22
• Document Creation Date: December 22, 2016
• Document Release Date: May 21, 2012
• Sequence Number: 50
• Publication Date: August 2, 1950
• Content Type: REPORT

Declassified in Part -Sanitized Copy Approved for Release 2012/05/21 :CIA-RDP82-000398000100070050-9
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Declassified in Part -Sanitized Copy Approved for Release 2012J05/21 :CIA-RDP82-000398000100070050-9
 Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
4ttstti K3 as Joao' us 'tioiant !or tam praoti~o4 aow?
Aaot sr 1uAd i' rt t stir fri the diaia of pb~ilcists sad
? 1i rrs to- i'rdoree tttsa3 'der to rs, tibiae ha ` or
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~ o~swst to the oone~r rho saqui~rie `prao~ ,.
't l 1 t to )ssi probes is the aau.itict .
Oar ,~ d1g? with th+ a and trrMp that is! with noel sethoda
y
tit aiti.a1 ptob] i , the most irpo$wt or ubioh aist
: 1) - diiteaatia] .gyationaf
f
bawl a Problsmr of aatheaatioal '
~ ~ physics and into~ral ot~tationej
. ' 3) i7 t.* of 4g.braio liaonr Oquationr with w y u oine
i
Ii) hgh?ordrr algebraic oquati an m d tre *eoon4enta t equsti one
tea o: p at plq los and rLn.
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5) luun~onia ~oaifrir.
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Nuserioa1 solution of a aathema ,oat, problem oaiaei~t~ F{ot~ 1t~ CUs orottoal
N!;eb ch 34 not bi ob d in a othsr
one of the moat
urod de1riois for thr nIiriCal rolutioi' of
probes of anysi$ io for aeUod o! .alas sxpenaion the 'rtbod of.
aatwi T1cJ? ('*rtod aatok i I nets, aeabeei g ,dry eta).
T sriO p! n-i ter tanatjcs. both bpd un moan/, figur `i
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. Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
so1ut.toa (in principle) that is, tte redtct on to existing roc utisg eohoaoe",
and o*laulatior~ tips Mau of ttww sore e. T!~e thoore tioal eo1 ition, at
the ease s r din upon ~tbe "aohsaee".t*hioh it is diz~sotod. Each eehsv
has its are? a! ilia i.e., a set of prohlear uo to it.
,i
Before ~' oonsidrr prevent aalpulating sethode ae ;ahoa1d 1ik. to
. ~ point
ant eztatitrthods of htn~serioal solution of soar isportsnt aattwaatioo1
*2 t eSoo wd iflt ZtLOI bStr l thrir r ion oo~rft1eient.
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 Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
it?raap.rstt, Poi sot p ? in usiion in ortbo~ l qita~s
(iS4m.t$ , I_1 tiuoe, i eto.), that is, sa"oali.d hsaonic ual~M~
(l), mn lu4iau usd .!~ tb. aa~ian /Quad qt
great. for ? 3a1 is tb+ aolst&a of ale #at~gra~dlffer~ntiet equ Lion iA the
at. *rox ute oa tiotij, XM$itute of Matl*rtia$, it tae
Moss. I' to e ' to 25 eooltic3snts doteTNLnod tr Us tot groin (2) with
Latfnite dtss sad otnoe this equation. a soled for 30 di!lereot
eluas of Us pu~trrs, a tots2, of 7SO ash' integrals bid to be oaloulst..
Another boo astbod of s g breiuttoa is the "hretbod of hetuorka". Qal~
wo of a 1mos fbaotton are ought at s,oertaia gatea of point., i.e., nodes
OS ? nrterlr? Th1 late rye!
O' g , a..~teplaaed br suers ot ttir nxaes
;r ?
4 I' b I_~.t~ V * ~ 'i p w~ 'r h!
at the.. points, acrd the dsrieti sj an reploes4 b7~ratio o! diffsrenoes.
t
A yetea of equations is obtained Nhioh octmicta the nluus the unknoin
limotians at ad
3a~.nt ., of the ryetwork. Tttie method o! notrarks with
ooneeauti~re transitions troy to 'j is a metbod for the nairioal
intigration of ordinardifferential equations. In bo aduy. &1ue rrohieme,
If a. treat msaber of s1; b c eq~uatione connecting t!a unknown valuedthe
EiTl'wih each other ark wi'Ch the knor~q Values on the edger
at be eolved stmultar*ouily The main dtftioalt~r here lioe~ in the eolutton
of this aystaa.since the number of
quations is frequentaJ- gtrsiter than in
U mrthod of eerier ezpsn ,one there art himdzeds of ji4.t in lane robleas
and thousand. in epatial problesu. The m rio4 solution of ejetea. of linear
alge brio equatat a r Ltb akno*e bas , therefore beooar onle of Us poet fw.
d.lwntg prgb]? in rpli$ naafi ' ' r
? fbr Mthod 'off' oonseoutiYe anproadiratioas is also !re t aced in
orSoul~rti ig trol~ga , Tbi eseentid future o
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that the? all rsgni,rrr Za a1. applioatian e1 ideatital :eprratiaM, e.g.,
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oq 'ith opog1a1 dsvte.s ,tor *uti*ttC NliSo tion or tabular data.
Ic ^lttsr liar foi4. th. rel? at tablre, noVKgz'Sur, and other atria
in oargiting oprrottona, tMir ise rloas aa?not, provide high` e~'lootinnooo for
y trthudlgxw; s- s-. tbn psrlomN'10s of a grist od~aputig operstione even
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with apeaLat side rsgoiNs prolonged work obtaiE- decisive reeulte.
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Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
 Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
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Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
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*!$ttoao on oonttn o u N1t s ttaol tattona 11, for U Mkt put
rop1ood b cPsrstioni on dioorrt~ Mttiaat goantitiSS.
Pre - tsro cm ba asd for ~M .Oitini /MI it
X011! stsges th the q~a~orioa1 oolotioa of s MtaI problem ,1 boord
u,ar$ tt Md.1in ; of Yariolu aw tiaa fasoti+aaol rrlltdoru oar qiamnt1Wlo.
?11 preaent"de aoui' It r. oat ba dtv5 4 Cato two in gvorpr. Taw. Strut
grot - it ]1tg% non-digital oa~rput~r$, rdtiob rodrl sash rrUr stlcaS r.1stio s.
? 7 ark based upon t)e !Mt that - i aM ter rotM tte.1 zits
do SrLbe' P*JrLOU* pfiiioal prsoss s. Tr L plus sgt*itt0nj for ! i diotlt~bl0
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rrar~rrdt' o! M1 14ia1 paauueddted fluid. Taro i/ a 1 MS b* s
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 Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
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Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
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 Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
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Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
 Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
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Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
 Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
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t*iant i ii ~ sl l r~~ M hss iii IliLcsi raUrd,
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srrore 1x4a. b~.MM of Mtn asai31ati*ur in th. oiz'utt. Unisr cwrrtstn
adadiUaais~ is*rtirnl err ii brcanr aztr 1j iwportant. 't ry can be aliai~
natsd b~ aoirnt a 1sott of t1 Rio parr etw f tba daYica.
*rToiis ct taw last trip proupa, I.., srrorr deed by'. insiecuracisa in
intaroduatlon and nrs ur. nt and iaaoaursoier of tbi ooh uter itselx" are of a
rwktc~ noturo. ?bo influsr a of t1 ss arx~ors vpc aurscy of solution can be
drt *t d by for throzy of probabilities.
Fres the rtsz cint of acoursey, aonsdigita1 calou] atars, *hioh model
oaartinvga *tiic~1 ep.i d ios, *id *gital calculatoraj ihich modal
diacratrr gazMrtttiai,.ar gmit. dLtfatsnt.
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daotica and rn~aairerr~nt of ter oanrriosl data 91 inacrsoiu of ths
t ine ttooltt tb rsfors~ the +saaun of t owchinss is tod. The..
arrox d be rodLf"iad bar ottiot~t de er and, hi;b gu1it~r'in ranafscturii
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Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
 Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
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Declassified in Part - Sanitized Copy Approved for Release 2012/05/21 : CIA-RDP82-00039R000100070050-9
poerib:L. to a srttr t* rsrcz. for he inamour cioa of sseh roach to arral*
Mtn tbw *aowr*ar of rar,oas typsr ot hwi I , to eet*blish ttaw sxfeat of
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op t daiioee tor tbs int.gration of ditferontt equrtionid r is i ext
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8. I ioer for Oporstion ort Uj c to Lo QusnU,ti,ee
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pr b Ot oonte orar~r ecieix e. .
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