SCIENTIFIC ABSTRACT KRYLOV, V. I. - KRYLOV, V. I.

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• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000826830004-0
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 14, 2000
• Sequence Number: 4
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

Approximation Methods of Higher Analysis 1007
3. Ne umann's problem 5106
1. Dini's forroula 596
2. Exterior of a circle 598
3. Nemmann's problem for a half plane 599
4. Neumann's problem for a ring 6oi
4. Ge neral boundary value problem for harmonic functions 602
1. Statement of problem. The case of constant coeffic-
ients In boundary conditions 602
2. Hilbert problem 608
3. General boundary value problem 611
5. Ba sic problems for biharmonic functions 616
1. First basic problem. Reduction to a system of
equations 616
2. Second basic problem. Reduction to a system of
equations 626
3. First basic problem. Reduction to functional
equations 627
4. Second basic problem. Reduction to functional
equations 6~4
Card 15/17

Approximation Methods of Higher Analysis 1007
Ch. VII. Schwarz's Method
1. Schwarz's method of solution of Dirichlet problem in the
case of a sum of two regions 637
1. Schwarz's method In the general case.
Convergence study 637
2. The case of a linear equation of the elliptic type.
Evaluatign of the convergence velocity of the
Schwarz process for a Laplace equation 647
3. Reduction of Schwarz's method to the solution of a
system of integral equations by successive approxi-
mations 657
2. Schwarz - Neumann method of solution of Dirichlet
problem in the case of the intersection of two regions 662
1. Description of the method and invettigation of the
convergence of successive approximations 662
2. Investigation of convergence of Schwarz - Neumann
method. Example. Evaluation of the convergence
velocity in the case of a Laplace equation 675
Card 16/ 17

Approximation Methods of Higher Anai,-sls 1007
3. Reduction of Schwarz - Neumann method to the solution
of a system of integral equations by successive
approximations 6~9
3. Example of the appliuation of Schwarz's method 6 3
AVAILABLE: Library of Congress
LK/whl
1-12-59
Card 17/17
p:

1Y,"
IC I V I On computation of in Indeftnite iegral
of val"ea of the integrmted function.
Daklady Akad. N.-A S-S-SR (N 94 W ~ 614 10541
(Rusaian)
It is required to evaluate an intcTrzf
7(X) - Y, +f f
ateachof the equally spKcd poin's r. -rt+rLk The author
ProjXYMM to select paints CV+Pk ~+1,1, for an opurnal
4wuw;.A V'~JA U-4t
~M
Z

4 ZO
f U)dl -6 A of(*) EAJ.(q, p,h)
It ita"umed that x. is not too clotw to cith" end of th,-
raiip!. Threim thorems are StAted velathig to the dri-Ji- of
lx)lynomial f(x) for which tile repreiwntaticu would be
exact. The degree is said to 1w n + m where ms 13 tile tltjflllwr
of [joints a, . .I X, and,whcrc n+1 -u ~ - Pre.
liumahly this ft ill 110t tile ~,w~e as cite inflex ('ft X..
A. S. llouseh7lder (Oak RidWe, Tenn.)

~Tl. " ~ ll~;
, , ~ . ~ -.r '.

USSR/ !,1thormtica Dbchanical guadrature
Card 1/1 Nb. 2 2 - L/51
Authors I Krylov, V. 1.
Title I Convergence of mchanical guadrature3 in classes of functions with
difforent orders of differentiability
Periodical I Doic. AN 55SR 10115l 801-602) Aj,.o. 11, 1955
Abstract I Conditions are discussed under which the mell-Anical quadrature process
ray give the convergence of any Danction in the class of functions
of various differentiability orders. Three references: 2 USSR and
1 (lerman (1916-1948).
Institution A. A. Zhdanov's State University, Leningrad
Presented by: AcadezTdoian V. 1. Snirnov, December 7, 1955
-4 4f -"n

K" Y L 0 V, V.
USSR/Mathematics
Card 1/1 Pub. 22 3/47
Authors I K%710v,, V- L
Title t Improving the accuracy of mechanical quadratures in the presence of the
main section of integration of a small length when a residue of the quad-
rature is expressed in the form of an integral
Periodical I Dok. AN SLSR 101/6, 989 - 991, Apr. 21, 1955
Abstract I A method is discussed which improves the accuracy of mechanical quadra-
tures, when the main integration section In small and residues of quad-
ratures are expressed in the forms of integrals. One USSR reference (1953).
Institution i A. A. Zhdanov, State Universityp Leningrad
Presented by2 Academician V. I. Smirnov, December 20, 1954

SUBJECT USSR/MAT1fZ1UT1CS/Tnoory Gf fianetto,-o WiD I
AUTHOR jRYL M_Y,,I.
TITIS T14e convergence of the algebraic interpolation. ,n v%w uizaLled
of differential functions.
PERIODICAL Doklady Akad. Sauk 1 214-2-1-1 (1955)
reviewed 7/1956 ML
The author considers the algebraic Interpol-itJor ot dtffqrer,fi61,t.,. faricticow
with respect to function values In single points and apkH fl~,- na;e3atLr~ and
sufficient conditions of oonvergenot.- Lot Lavb] be rA einito flltilrvui #And
a (n) (n) n )f4b, where ,,(n)
< < 1( is thb node matr1r. L13t t0
1 "2 n k
0
42(z) 1/2
I
n
X(n))
k)n(x) TT (1 k
k-1
for x< 0
fpr x - 0
for x >0
(1) A
ni
,
Furthermore be

Doklady Akad. Nauk j.2,~L 214-217 Oq55' CARL
(n))
Fn,o no (tizril, rolzi
anti
F
nte Ok k
Let the flinctio4 f(s) b4lojig to tLt: ;le:-s 0.,pA, ,t: VV 'II 1,J) 11- 0,AAiT,11~1Ur,
absolutely continuove or of boundsd oft la,bl
By use of the introduced wptatloae wi ~worjm 4a
necessary and soffioient oondition r(-i, ttif) convwxg-rcr, :1 ri v it,tart-olation
process for n --* co
A) In the poInt x, B) uni formly r
0
a) There exists a nuiubtr N(x) Puctil that foc kill
Var Fnqr(t) -.e-- N,T) ,
t
b) There exists a numuer N being lcdepenJwnt ;t a 'au-j"n tha.', for ull
and all xG[a,b]
Var P njr (t)*;.1q
t
2. For fe A, Ca,b] (r ~; I
a) There exists .% immber N(%) a-2~3h tha+ for all trafa,oj ani all n-1,2,...
IF n.T (t)l

D0JCI&dY AX&d. V&UX 22.~.L ;el4-Zl'(
b) There exIst4 a nupber N being* in d4p9a dent of z suoh L,t of
DOI and all "1 21 .. I
1 7no 'it) IN.
For fE- T[apb] (ral)
Satt4faot$on of Ra) . 4ad that for t C- Cat b-I
0
,:VC%.k(X) 0 xk for t4gx
r -10-0 for x.
b) Satisfaction of 2b) sgA, in (1), .,L Unif Ormly tondj?),~ to C, I V, biolonot
to x*.
ITSTITUTION; "PUblia IgniVerSity, LonIngrad,

A
KMOROVICH, Leonid Vitallyevich; KRTLOV, Vladimi& JaWach; CEMMMEN
Kalman Teremerevich; JLA4AJVV-jw.F*. YMMILUor; VOLGHOK, K.M.
takhnichankly redaktore
(Tables for the numerical solution of 'boundary problems In the
theory of harmonic functionaj Tablitsy dlia chislennago reshe-
nlis granichnykh sadach teorii gwmonicheekikh fu~ktelle Xo-
skya, Gossisd-vo takhnift-teorst,lit-ry, 1956. 462 p.
(HLU lotO
(Harmonic functions)

SUBJECT USSR/IUTHMATICS/Theory of approximations CARD 1/4 10. - 360
AUTHOR of KRYLOT V.I.
TITLE '1~~iftIVAVMS-computation of the integrals of functions with
quickly oscillating factors.
PERIODICAL Doklady Akad. Nauk 108,.1014-1017 (1956)
reviewed 11/1956
If f is strongly oscillating, then the approximative quadrature
b n
f f dx ;Z~ T1 Akf(xk) is very troublesome, since then a great number of
kal
nodes xk is necessary. But if the integraKd is the product of two functions,
one of which - f - changes sufficiently little on lapb) while the second one
- g - there can be decomposed into two summands "WO and TO , where 100
changes little and -f0 is strongly oscillating with a small maximal oscillation,
then
b b b
f-g dx -f f If dx +f f T di.
f 0 0
a a a
Here the first integral can be approximated usually at the right hand side
and represents the "principal partt', while the second integral becomes smaller

Doklady Akad. Hauk 108, 1014-1017 (1956) CARD 2/4 PG - 36o
if the maximal oscillation of 4t0 is small and if To oscillates stronger.
Assuming that the mean value of po equals zero onfa,b3, then
X b b
91(x) fo(t)dt f f f odx f f 'g,dx.
a a
If g, can be decomposed into Y1+ fi too, then a further "principal part"
fft Yidx can be split up. The author investigates the case where g#g1#g2`-
oscillate quickly around constant mean values. Putting
b X
1 g dx - a To - g-oos g1(X) co-g(t)ldt,
b-a f 0 f
a a
then
b b b
f f g dx: - o0 f f dx + j ffgldx.
a a a

Doklady Akad. Nauk 108. 1014-1017 (1956) C"D 3/4 PG - 36o
Repeating this several times, then one obtains
b b n-1 I b
f,g dx o f dx + z 0 k [f(k-1 )(b) _ r(k-1)(,) + f f (n) gndx'
I Of k-1
a a a
9,(x) g(x) gk (X) -gk-l(t)] dt 0 . 1 1 dx.
f [0k-1 k ~--a j 9k
a a
These equations permit to compute o k end gk one after another. Under the
assumption that f is n times continuously differentiable on 1a,b] , by aid
of Bernoulli's polynomials the c k and 9k canbbe expressed explioitely by
g(x). The estimation of the remainder term f f(n) gn dx is most simple if
a
f(n) 4E L2 then b 2 b
Rn q if dx- f g. dx.
a

Dokladjv Akad. NaIuk 1081 1014-1017 (1956) CARD 4/4 PO - 36o
00
Assuming now that g(x)a0 +Z (a 8 oos 27reti b Bin 21rn~), then the
author obtains 8=1
/2 00
2kj 1< IL) a
R 271 5-2k 4. 8-4k (a2+ b2 "1 fj(,(n))2clx]4
8)2 8.1 a]
a
2k+1I k4lh1/2 S-2k-1b 000-4-2 2 2 (t(n))2
+ .1
2Z ( aa+b dx]
8.1 8r [i
a
h a b-a.
INSTITUTIONs Section of the Mathematical Institute, Acad. Sci, Leningrad.

MQ

The positiveness of a determinant and the uniquanese of its wdou.
Dokl. AN BSSR 1 no.10-5 Jl 157. (MMA 11123)
1, AN DUN,
(Determinants)

In reference to the proof of Impossibility to derive a quadrature
formula with equal coofficiente and over nine knnts. Trudy Inst.
f1s. I mat. AN BSSR no.2:249-254 0 5?. (MIRA 1211)
(MathatmtIcal, analysis)

16(a) PHASE I BOOK EXPLOITATION SOV/2758
Krylov, Vladimir Ivanovich
Priblizhennoye vychisleniye integralov (Approximate Integration)
Moscow, Fizmatgiz, 1959. 327 P. Errata slip inserted. 12,000
copies printed.
Ed.: 0 P. Akolov; Tech. Ed.: R. 0. Fol'skaya.
PURPOSE: This book is intended for mathematicians and others engaged
in computing, especially those using approximate integration.
COVERAGE: This book contains the main ideas and results of contempo-
rary approximate integration theory. However, only the problems
of computing single definite and indefinite integrals are studied.
The book, divided into three parts, is primarily devoted to the
method of mechanical quadratures, where the integral is found as
a linear combination of a finite number of values of an integrable
function. In the first part, the concepts and theorems found in
the theory of quadratures are discussed. In the second part,three
fundamental topics are discussed: the theory of constructing
Card 1/9

Approximate Integration (Cont.) SOV/2758
formulas of mechanical quadratures, on the assumption of sufficient
smouthness of the Integrable function, the problem of increasing
the precision of a quadrature, and the problem of the convergence
of the quadrature process. In the third part, a study is made of
the problem of computing an Indefinite Integral. Here the author
limits himself mainly to a study of the problem of constructing
calculation formulas. In addition, criteria for the stability and
convergence of the computational process are pointed out. The
discussion Is from the point of view of single integrals, both
definite and indefinite. The author thanks M. K. Gavurin and I.
P. My8ovskiy for reading through most of the manuscript and for
their advice. References appear in footnotes.
TABLE OF CONTENTS:
Preface 6
PART 1. PRELIMINARY REMARKS
Ch. 1. Bernoulli Numbers and Polynomials
Card 2/9

L U, 1
lit
Jill, ..i
ob
Us

IM"WV -XOROIBV, N. I.; SKOBLTA, N. S.
00
Remark on the computation of the Integral x 'e- Dokl, AN
BSSR 3 no-1:3-7 A '59. (MIRA 12:3)
(Integrals)

UffIDY, V. 1.
Investigation results an4 prospects in some problems of
mechanical quadraturns. Trudy Inst.fiz.1 mat.AH BSSR no.3:
18-61 159. (HIR& 11:4)
(3unerical calculations)

KHTLOV, -V.I.
Signo of cnefficients In Coates' quadrature formula. Dokl.
All HSSR 3:1$35-'$1g N 159 (14IRA 13:4)
(Integrationi

-WY4ffr4,X,j-~WA, N.A.; YROLOVA, N.Y.
Calculating an indefinite integral vith a small number of values
for the Integrable function. Trudy mat. inst. 53:2A3-301 059.
(MIRA 12:9)
(IntegraW

,:'KRTLOV, V.I.
Oonvergence and stability of the numerical solution of a
differential equation of the second order, Dokl.AN BSSR
4 no. 5:187-189 My 060. (MIRA 13:10)
1. Institut matematiki i vychislitallnoy tekhnikiAN BSSR.
(Ifferential equations)

KRYLUV SKOBLYAO N.S.
N=erioal inversion of Laplace transforms. Inzh.-fiz. shur. 4 no.4s
85-101 Ap 161. (MIRA 14:5)
1. Institut matematiki i vychislitellnoy tekhniki AN,BSSRj g.Kinsk.
(Laplace trwwportation)

S/04,V62/000/005/052/072
C111/C444
AUTHORS.- XruClikova, L. G., KL4Lqv,_V.---I-
TITLE: ~;umerical Fourier t:-araformittion
Pa-'IODICAL; zhurnal, Matewatika, nu. 5, 1962, 15-46,
5V222. ("Doki. AN BS~4,111961, 5, no. 7, 279-2133)
TEXTs Cuitaiuored, iu the upproximutiva~calculation of' the couinus ?1A
,V ; .
~,Ild -sinus trunuformo b, tid of michanic quudratt;reu. One suppo3es that
the fuliction #f(A) which iu connected with the tranciformed function f(x)
by the relation (x) x), for large x has the abymptotic represen-
tation OD
W >
170
(1+x) 1-0 (1+X)
OD Cos
The construction of quudrature formuliiLi for the integrals S x T(X) dx
0 sin
with the weight functiona oin x and oos X-proves to be imposuible
accoraing to the uuthor even in upecial.cases, if one deuvLnds that theae
Card 1/3

3/044/62/000/005/052/072
Humaric"I Fourier transformation C111/0444
formula..-, ou;~ht to be exuct for a maximal numbur of functions (1+x)-
(i - 0,1,...). Therefore those integrals were aplit in
00
oo + 00-" f (x) dX and f(x) dx
3 sin
0
where t4a second integral doeo. no+. dopend on the pura:..eter c4 and can be
calcul-ted b~,- the quaCrature -formula with the, Jacobi weight 'unction. For
tht~ fir3t intevr~:IE; theirc exist quadratere formulau of tho Gaussian kind
aith reapoct to -the sijtom of functions
(1+X i_1 The pruof follois.for the weiCht function I + cos x. The
;,Ilot~ Xk(k n) of-the mentioned quadrature formula are rooto
of a polZinomiux ol n-th,de.-Fee 'which oni i(O, oo) is orthoConal to all
polynomials of lovier degree,with the -weight
+ COU x The coefficients are
O+X)
Cu.ed 2/3
IaL I

S/044/62/OqO/005/052/072
Numeric,,l Fourii;r tranuformation C111/C444
2n+n OD
k k
+ Cos X W
(,+X)2n+s n(x) dx
x - xk,
where wn(x) - (Y,-X,)(x-x,) ... (x-xn). A representation of the root in
given. Tne quadrature process convergoo for continuoun (P(x) for whicil
the product (1+'X) 1+s ,(x) has a finite limit value for x ---,v oo. For the
quadrature formulas wTth the weight
I + cos x one jlv%.~s a table for a - I and n w IM5 -of the numerical
sin
values of the knots xk and the coefficients Ak with 11-3'important figures.
Examples of integr,tl calculations by aid of these 'tables are given.
jAbstracterlu note: Completetranolation4l
Card 3/3

S/044/62/000/005/047/072
CJ11/C444
AUTHORSt Kr~71ov, V.J., Yanovich, L. A.
T1 TLE. On the convt-r6tnce con,~'itionu of the (;ubaturo proce.,;s for
continuoualy difftrentiable functions
PERIO.~lCALs Ito' fi~.L-otivnoyoy zhurnal, Mutu.,.,i;tika, no- 5, 11,,62, 44,
lkuutri~ut 5V214- ("Dokl. AN WjR,11 1961, ~, no. 11, 466-in)
TEXTs Nccvouttr~ and nufficient conditionti tire Livt)n for the 'fact
th4t the pruceaL; of ttie approximative calculation of a morefold integral
convurgea tu the utrict value of the integral in the case where the
intojrated function pseesses a continuous mixed derivative of any.kind.
in order to simplify the description one considertl the caLe of a double
integral.
Let F be the uet of the functiona f which are defined in the rectangle
6(a x ~,- b, o !C- y 1; d), there possevaing the continuous mixed
iferivativo
m+nf
X m.~n mn
Card 1/3

5'/044/62/000/005/047/072
On the converCence conditions of the ... CIII/C444
which iu un(ierutoou in the usual Leneel lot D bu u certain dow-ain
bulor,C;inf, to A . In D the function p (X,y) bc.~ ddfined, mea3urable and
&u.-mable. In oraer the cubature process
AX,Y)f(X,Y)(ix6y A
kf (Xkp Yk). + RII(f)
k-1
to converge for 4L~ v e ry f 4 F, it is neCeUSILry and sufficiunt that the
cont~itiona ure uatjt;fjadj 1.) the procQss (1) convergus for
evc.r.y po1.0iot:,ii,1 in :~ und yj 2.) there oxiots a number M ,much that for
N J- 0,19 .... n- I and a .5 b, c d
the inequ.alitii-tj
A& (sk- Q"-I (vk -I)"-'E Vrk- US W",I)
Af
(;,Lrd 21,~

S/044j62/000/005/047/072
On the conver,;unce coiWitions of the Cill/C4-14
0 for t 0,
L(t) -1 f or t 0,
2
I for -t > 0
aria satisfied. In the 4pecial case m r,= 1 it i;j Ywct.wiary and vu.'fi-
6ient for the cunv,,rgunce of the cubature-procoss (1) at an arbitra.zy
function of F poss,~ssing a'oontinuous MiXOd d0riVatiVL Of ziecond order
that: 1.) the procasa convergua for every pol5nomial in xtyl 2.) there
exists a riumber Y, ~;uch M~t for N - 1,2, . .., a 1~ ."- -:5 b, c d, for
the partial sumo of the coefficients A k the inequality
AkE(xk E(yk
k-1
is sati3fied.
[Abstracterlu notet Complete translation.]
Card 3/3

AWENSTIAT, V.S.; IaaLOY-,--W, -I IAXICVA, Yo.,
~ _; ITIELISHY, A.S.; ilk.
I-rid, Jzr1-:i--a-;ATLA3, A.p wkhn, rod.
[TAblos of numeriertl Laplace transfarrations and for the
w
cRlaulation of integrals of the forms xs e-,f(x) ax)
Tablitsy (ilia chislennogo proobrazovaniia Laplasa i vychisleniia
00
integralov vida. S xae-x f(x) dx. Minsk., Izd-vo Akad. nauk BSSH,
1962. 375 p. 0 (RDU 15:4)
(Laplace transformation) (Integrals)

KANTOROVICH, Leonid Vital 'yovich; KUYI )V
LURIYAKOV, A.A.S tekbn. red,
[Approximate methods of higher analysis ]PriblizherirWe metody
vysahego analiza. lzd.5.,, ispr. Yoskvn, Fizmatgiz, 1962.
708 p. (Mathematical analysis) (KLRA 15:11)

-0(9 35611
16,45 S/20,1/62/000/001/002/005
D25L/D301
AUTHORS: Krylov, V.I. and Pal'tseV, A,A,
TITLE: On the approximate solution of functions having
logarithmic singularities
PERIOD IC AL: Vestsi akademii navu1c BSSR Seriya fizika-tekloiich-
nykh navul., no, 1, 1962, 13-18
The authors consider quadrature formulae which
arise in numerical integration of a function. of the type
n
Xr/ lg(e/x)f(x)dxi:~ Akf(xk) (I)
The concept oE "weight function" is introduced, and it is stated
that xk and 1~, are dependent on this weiolit function. A polynomial
lg(e,/x) is introduced, and
in x orthogofial in TO, 13 for weight k~7
hence an interpolati;n formula for 1%k is found Tables are given
Card 1/2

3120 62/000/001/002/005
On the approximan solution. D251%301
for the coefficients of the polynomial and the corresponding values
Of Xk and Ak for various values of U. are given. Estimates of
error are given, and the method is illustrated by three worked exam
ples~ The purpose of the method is to increase the precision of
approximate solutions- There are 3 tables and 4 references: 3 Sov-
iet-bloc and 1 non-Soviet-bloc, The reference to the -English-lan-
guage publication reads as follows: L. Kopal, Numerical Analysis,
Wiley, New York, 1955.
Card 212
D

KRYLOV, V.I.; ISRUPOINA, I-T.
Convergence of a quadrature process. Dokl. AN BSSR 6 no.3:139-141
Mr 162. (141RA 150)
1. Institut matpmatiki i vychislitellnoy tekhniki AN BSSR.
(Functions, Analytic)

lanova Vlodimic TTAWAi "hi LUOIN, Vladimir Vladimiroviohl
YANOVICH, IAo Aleksandrovioh; TXACHEVA, T., red.
izd-va; KOVAUNKO, A., takhn. red.
14taLratign
exponential singularitioaI XP (1'- 40- f (X)dx ] Tablitsy
dlia chislannogi intogrirovanila funktail so. "ennymi
osobennostiazi XO (1 - x)K f(x)dx. Kins4 Isd-vo AN ESSSRO
1963. 434 p. 0 (MIRA 16s8)
(Mathemmaties-Tables, etc.) (Integrals)
[Tables for the numerical
of functions with

c;/201/63/000/001/002/007
~234/1)30U-
1 i 01" '. S i4id Palltsev, A.A.
TITLE: Numerical integration of functions having logarith
mic. and pcmcr characteristics
PERIODICi,kt: Alcadcmiya navuk Byelaruslay SO"R. Vyetitsi, Gyaryya
f-A?.zi1ta-tchhnichny,j1.h navu1r., no. 1, 1963, 14-23
12. - Z"'. T The authors tabulate the coefficientc ~,, and abscis-
Sao X1, Or tim fortnula
Cclf, f(%)dx
x
0
.L.or n - 1-8 and a 4/5, 3/4, t 2/3, t 1/2, t 1/3, 1 1/41 � l 5.
0 and + I to + 5. The values wore found irith the aid of a lldnsk-o
cotaputcr. It ia probable that the error doca not exceed a unity of
the lowest digit in each value. There is 1 table.
C ard 1/3.

S/250/63/007/003/001/006
A059/AI26
AUTHORS: Krylovo V.10, Mwastyl1w, F.
TITIZ: On particular cases of the elimination" method
FT~RIODICALi Doklady Aklidemij nauk B3SR, V- 7, no- 3, 1963t 145 - 147
TEXT: The boundary problem
L y" + p W Y' + 4 (x) Y - f (x), a 4 x 4 b; (1)
do Y. (a) + OL1 y' (a) - A, PO y (b) + ~j y' (b) - B, (2)
has according to the elimination method fully described by I.S. Berosin,. N.P.
ZhIdkov [Metody vychialonly (Methods of Calculation), t. 2, M., FizwAtgiz, 19591
the general solution
r W y + a W. (3)
where the functions r W and s-W are determined as nolution of the dif-
forential equations with the initial oonditionst
r + r2 + p (x) r + q (x) 0, (to +,a, r (a) - 0 1 (4)
Card 1/4

S/250/63/007/003/001/006
On particular cases of the "elimination" method A059/A126
at + Cr + p (x)) a - f (x), u., a (a) - A. (5)
A modified method developed by A.A. Abramov (Zhurnal vychisl. mat. I mat. fizi-
ki, Y. 1, no. 2, 1961) has been suggested t,43 obtain a more general validity of
the method. Another veraion suggested by the authors of this paper reduces the
computational complexity for some particular cases. It Is assumed that, when
x - a, the boundary condition Is y (a) A. The general solution of equation
(1) can be represented in th6,form y - Y + Cjzj + C2z whore L (Y) - f (x),
Y (a) Y' (a) - 0]. CL (zj) w 0; %, (a 1, z, (all. 0 ~a) - 0,
z2' (a) I]. The set of solutions satisfying the boundary condition y (a) -.A
will be y (x) - Y (x) + Azl W + C2Z2 W W + C2 W, which is the
general solution of the first-order equation
!L(x) M (X) + (X) - +('a)
al-io function cp W - z W becomes zero, when x a, and (p (x)/ (X)
2
has there a first-order pole. Eqiution (�) is written in the form%
(a) + N W
X-a x-a
Card 2/4

8/250/63/007/003/001/006
On particular cases of the "elimination" method A0591AI26
The unknomi functions r, and a, are found from a system of differential equa-
tions analogous to the sistem (4) and (5), when the substitutions r (x)
r, (x)/ (x - a), a (Y) al (x)/ (x a) are introduced&
ri (it) + PW + W F, W W (it - a).
x -a
r, (X)
.1; (X) + P W + 81 W RX) (x -a)
X --43
with the initial conditions
rl (a) a, (a) A. (10)
The boundary problem
Y" 4x7' + Ox2 - 3) Y exp x2,
(0) I-CM 000, Y(0-5) 0.145 327
was calculated, the accurate solution of which in known to be
Card 3/4

13/250/63/007/003/00
1AW
On particular canes of the "elimitiationn method A059/A126
(X) - exp x2 [2 a~l 1 - 1)
nh I
AMOCIMM Institut matematiki i vychiclitel'noy tekhnIki All B3SIR (Inatituto
of Mathematics and Computing Engineering of the AS BSSR)
SUBMTE'Di December 19, 1962
card 4/4
-4-
:214 f~

,!~RTL-OVj,.V.I.;. MKOVO V.V.
Integral relations method for the Goursat problem. Dokl. AN BSSR
7 no.7t433-438 n 163. (MIRA l6t1O)
1. Belorusakiy gosudaretvannyy universitet ineni V.I.Lenina.

KRYLIOV) Y.A.j LISKOVETS, O.A.
Estimating the error of the straight line method in solving
Goureat's problem. Dokl. AN BSSR 7 no.81505-509 A 163.
W 16tlO)
1. Belorusakiy gooudarotvennyy universitet imcni Lenina,

KRYLOV, V.I.; YANOVICH, L.A#
Convergence of trigonometric interpolation for analytic
periodic irunctionoo Dokl. AN BSSR 7 no.10:649-652 0 163
(MIRA 16till
1. Institut matematild I vychislitelIncry takhniki AN BSISR.

0
KRYI.bvs V.I.; YANOVICH, L.A.
Convergence of a trigonometric interpolation. Dokl. AN
BSSR 8 no, 3;141-144 Mr 164. (MIRA 170)
1. Institut matematiki i vychislitallnoy tokhniki AN BSM.

NMU
ACCESSIO N NR: AP4042723 8/0250/64/008/00G/0363/03 6
C6/3 j I
AUTHOR: Kry*lov, V. L, Liskovets, 0. A.
TITLE: The method of "directions" for non-stationary mixed problems and the evaluation
of the moan square error
SOURCE: AN BSSR. Doklady*, v. 8, no. 6, 1964, 353-356
TOPIC TAGS: differential equation, algorithm, iteration, boundary problem, boundari
value problem, elliptic equation, least square method, mean square error, non-qfatto-ary
mixed problem, directions method
ABSTRACT; The article examines an algorithm for computing approximate solutions to
non-stationary boundary value problems of the form
alka (X. i)lallk L (u) +(.r. 1) (x V. 0 4 t 4 7).
alu (X, O)IM 01 (X) (.V, 0 4 1 1),
Card 1/2

ACCESSION NR: AP4042~23
where k >
, 1, x = (XI, xr); V Is a region of the space of the variable,'with boundary
n; and L (u) and D (u) are linear operators in the space of the variable, with L (u) an
elliptic of the second order. The basic Idea of the method to to replace the derivative with
respect to t by a sequence of many discrete points. With one variable space, the method
Is a "transverse" variant of the method of "directions, " analogous to the method of Rota.
The author also derives an a 'priori estimate of the moan square error Incurred when
using one iteration of the method. Orig. art. has: 41 formulas.
ASSOCIATION: Belorueskly gosudarstvonny*y uaiverattet Im. V. I. Lenina (Belorussian
State University)
SUBMITTED. 19Feb64 ENCL:1 00
SUB CODE: MA $0 REF SOV: 001 OTHER: 000
2/2
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(it) 2 ~ ) Ii I i : 1 11 i c ~4 -

L, rn u r integration. integrattr
-)n rernainorr fl-
vlLh t-h(-

mg
ACCESSION Mt. AP501DII977
-9 ',he wpk knn,%m representationg of arbitrary perfodlc fiunctlrjn~; 1.1-,r kijZ~
-(j 'A"th i~orn-ulll rwflynomlal.~4 Thf, i-pvr
V
OTRFR, ooo

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L k d
C NRi A116015169 SOURCE CODSt UR/0376/65/001/002/0230/0243
AUTHOR: Bobkov, Vo Kr 0
V's ylo4j_ V. I.
2,
ORG: Belorussian-stato Uni*rsity In* V. I, lanin -43aloruskiy gosudarstvan*7 ~Ie.
vorsitot5i Institute of Hathematios AN_BWR-_Tr-sEMt ratematiki All WSR)
TITL~: Mothod of integral relations for hyperbolic-typ equations and systems
(Roviow of convorgonce studios-and evaluations of the orrors
SOLqtGE;: Difforontsialtnyyo uravnoniya, ve 1,~uo. 2, 1965, 230-243
TOPIC TAGS: approximation. hyperbolic equation, partial differential equation,
digital computer
APSTRAM. Approximation met1tods are being developed for the solution of partial
differential equations ZUFTW-use of digital computerso One such wthod is that
of integral relations proposed by A. A rodnitsyne The paper discusses the
approximate solution of second-order ~4rrbolie equations by using the method of
integral relaU_o_ns_7EFr_9_&u_ce-Wem, to a system of oREM7- first-ordor differential
equations and the approximate solution of IVWrbo3io systems of two first-ordor
equations by using the method of integral relations to reduce then to a system of
linear algebraio equations* Orige &A* hast 20 formulas* fJPRs7
SUB CODE: 12 SUBM DATE4 20Nov64 OPM REFt 027 OTH REFt 003

ALMIORt Ar7lov, V. I.
ORGI Institute of Hathomatioa~AN BSM (Inatitut matematiki AN DSSR'
TITTE: Interpolation improvewnt of the convergence of a sequence
SOURCR: AN BSSR, Doklady, vo, 9, no, 5, 1965, 205-287
TOPIC TAGSt interpolation, matheratics
ABSTRAM In connection with he requirements of computing the question of
,Improving the S:SAy2X&en o of a seguance Is acquiring ever more Importance#
In transforming a sequence Into mother sequence with more rapid convergencep,
one must work on the basis of some property of the original sequence. 7he
danger is that the new sequence formed may be more slowly converging than the
original# or even diverging* In generalt solutions to this problem are valid
only for certain classes of sequences. 7his article states two theorems
which indicate conditions for two types of Interpolative improvement. of c*on--
vergence- In vAtIch the now aoquonce..will, probably the converginge orige art& "at
6 formulas. Ljms7
SUB.CODSI 12 SUBM DATZI 04Feb65
~V
!
7,'.F

ACC NRj AP6024331 SOURCE CODE1 UR/0428/66/000/00t/0005/0014
AVMORSo Bobkova V, Vol Kryloys-Ve Io
ORGe none
TITLEt On one computational scheme of the method of integral relationships for a
hyperbolic equation
SOURCE: AN BSSR. Vestai. Seryya fizika-matematychnykh navuk, no. 1, 1966, 5-14
TOPIC TAGSt hyperbolic equationg integral equation, finite difference method#
approximation technique
ABSTRACTs A study is made of a four-point difference equation constructed in solution
by a method involving integral relationships of the linear Gur5 problem for a
canonical second-order equation* Evaluations of the accuracy of the method are
developed, and it is shown that the second order of convergence can be guaranteed for
an unlimited refinement of the grid intervals The authors also demonstrate the
feasibility of extending the results to the Cauchy problem and to certain other
problems. The possibility of generalizing the basic results to the case of a simple
quaoilinear equation is shown. The problem involves finding a solution of ftig
equation a (x' + b its, + c (it. Y) Uyj..p
subject to the conditions
Card 1/2

L-10474-6t---
Ad-C-NRj AP6024331
U, 0) W. A A (0) (O)W
several transformations (Y. V. Bobkoy and V. I. Krylov. Differentaialinyye
urevneniya, 1, No. 2, 230-243, 1965) are applied to this problem at nodes in a grid
of a certain spacing interval. Approximations are made at four adjacent network
points. The accuracy of the method is a function of the grid interna chosen# and a
means of computing the error is given, Orig. art, hant 11 equations*
SO CObS j 12/. SMU ZMt, 26Kov65/ 'ORIG REFt 003

linprovem6nt of the converptmee of .9equencea by way of L-ter-
polation. Dokl. AN ESSH 9 no. 5T285-2F7 Illy 165
U-MA 19t1)
I. Thstitut matematiki AN EMR. SUnitted February 4, 1965.

KRYLOV, V.I.; PALITSEV, A.A.
Numerical integration of functions having a logarithmic
singularity at the origin of coordinates. Vestsi AN BSSR.
Ser.fiz.-wt.nava no.10-9 165.
Numerical integration of functions having logarithmic
singularities at the end of the path of Integration
Ibid.: 10-13 i MIM 19 11)

OUMP M,
't
.~;o remarks on tba improvement of convergence by interpolation. bokl.
AN WISH 9 no.70,29-431 JI 165. (MIRA 180)
1, Institut matematiki AN Belorueskoy SSR.

V"-I. I MONASTYRNYY, P. 1.
Use of the drift method In solving a differential equation of the
fourth order. Vestsi AN BSSR. Ser. fiz.-tekh. nav. no.2:5-11 164.

KRYLOV, Viktor Ivanovichj FEDOSE;YE;Vl Gonnadiy Aleksandrovich;
SInJrjOV'-KrTVFPetrovichj TOIEMKINAp JI.S., red.
(Pinnipedia of the Far East] Lastonogie Dallnego Vostoka*
Foakval Pishchevnia promyshlonnout'.. 1964. 57 p.
(MIRA M12)

4-IRTLOV! Vasilty Ivanovich; YUDLY, Bergey Tinofeyevlch; OXROMISHrO. N.Y.#
-------mhanor, rettenzent; PASTIRIAK, S.A., isdatellskiy redaktor;
TDMONOT, A.Ya., takhnicheskly redaktor
[YowAry equipuentl Oborudavants litainykh tsekhov* Moskva, Goa#
nauchno-takhn. txd-vo nazhtnostrolt. lit-ry, 1956. 389 P.
(Iroundry anchiaery end supplies) (KIJU 9 2 10)

KRYLOVI Y.I., inzh*aor; VOKIN, G.F., Inshonor.
On the possibility of ch&Ving ever to pattern casting of largo
size parts. Strol.1 der.mashluestr. us-7t25-29 ii 056.
(Precision casting) MIA 9:10)

-An srtiaU~ eititlid Techfido" in Casting T-ndustry &n4
Inventor's Problems," by V. 1. Krylov describes recent developments in
Soviet molding and cantifig-p-re-RIE'es.
The Scientific Rencarch Institute of Foundry Machine building has
developed a method for obtaining high-strcngth shell molds at a reduced
.,consumption of phenol-formlddhyde resir. (TeYhnologiya Transgortnogo
Mashinostroyeniya, [Technology of Transport Machine BuildingJ, BPTI,
No 5, 195b)-
The essence of this method in that the sand-resin mixture is com-
preseed against the face of the pattern with the aid of rubber diaphragm
and lining built into the bottom of the molding mixture bin. The pres-
.sure to the diaphragmis Adby the compiessed. air ar liquid.

il TL Yj
"n a WthOd revires OftU about
5 seconft to form an initial w1d
shell 7 to 8 mm thick of a 97% ollica sand and 3% powdered bnkelite mix-
ture, if a preccure of about 0.7 atm is applied to the diaphragm. This
is contrasted with about 20 seconds required with the conventional methodo
The strength of the shell mold 'prepared by this method is about 40-50%
1'greater than one prepared by the conventional method, and the powdered
b4kelite consumption in 30-140% less.
A pnvange from the come article on the subject of precision cast-
In& reads: "Further impetus to the expansion of precision caoting in
the industry will be the new method of preparing ceramic cores for secur-
Ing openings 0.8 mm and thicker" (Tochnoye Litlye Zharoprochnykh Splavoy
(Precision Casting of Heat-Resistant Alloys), Trudy VIAM, No 2, Oboronglzp
1956). (Is6bretatelvetvo Y SOM, No 3, Mar 57, VP 6-11) M
0

KRTIA)V, V.I., inshener; RUUX, P.M., inshener.
Stwdard building plans for enterprises manufacturing precast
reinforced concreteproduots. Noy.takh. L pared. op. v strole
18 no.2:3-11 Y 156, (XIJIA 9W
(Factories--Design and construction)(Proeast concrete)

SOV/137-57-10-19354
Translation from: Referativnyy zhurnal, Metal] urgiya, 1957,Nr 10, p 130 (USSR)
AUTHOR- I _.
TITLE- Shell-mold Casting (Lit ye v obolochkovyye formy)
PERIODICAL: Mashinostroitel'. 1957, Nr 1. pp 23-25
ABSTRACT. Composition and physicomechanical properties of various mix-
tures of quartz sand K 70/140 with domestic phenol resins are
described. Conditions required for production of castings with
smooth surfacrs are analyzed in the light of the results of investi-
gations which have been performed at various plants. The effects
of the exposure time and temperature of the pattern on the thick-
ness of the resulting shell mold are shown. Some data on pattern
design are given. Advantages of shell-mold casting methods are
listed.
Ya-P.
Card 1/1
"To
'13

- - "'j
: - . . ~ ~'Y a~ ~. ; ' ~: , ~ -;, ~ ., I ~-.. +-~~' , 'I ~
KRYLOV, V.I., inzhener.
Advanced technology In the founding industry and the tanks of
Inventors. Isobr. v SSSR 2 no.3:6-11 Mr 157. (MLRA 10:3)
(Founding)

KRTLOVp VPI#o inshener.
s Itutes for difficultly available metals wA alloyse t V.A.
Butalov. Teet.mnsh.37 no.1:896-91 J& 157. (XLRL 10:2T
Notals) (Alloys)

AUTHORt Kryloyt VoI.9 Engineer 117-2-1/29
7jTLZj Mechanized Preparation of Molding Sand and Production of
Shell Molds. (Makhanizatsiya prigotoylaniya formovochnykh
amesey I isgotoyleniya obolochkovykh form)
PERIODICALs Vashinostroitelf, 1958t # 2# pp I - 6 (USSR)
.ABSTRICTs The article gives general Information on the shell canting
mathodp which is only slowly coming into use in,the USSR
bocauss of the lack in the needed materials and their high
cost. The article also gives a detailed description of
desi and work principles of the equipment(Mostly of Soviet
maker.
Preparation of sand-resin compounds is performed with the use
of different equipment (Ref. 4,10 and 11). Th* Kiyev "Moto"
Plant (Kiyevskiy motosavod) has an automated installation for
preparing coated shall compounds. The installation performs
the following operationsi accumulates the components, measures
them out, mixes the compound, dries and sifts the compound.
At the Kharikov Plant of Transport lachinebuilding, (Bef-5)o
the compound is prepared in a special blade-mixer (Fig.1).
Card 1/2 ANTAvtoprom has devised a mixer (Fig.2) comprizing rotating

117-2-1/29
Mechanized Preparation of Xolding Sand and Production of Shell Molds
curvilinear elements (Hof-4). The blade mixer (Irig.3) designed
at the Leningrad Carburetor Plant imeni Xuybyshey produces
satisfactory compounds on liquid and solid rosins; it not only
mixes but also grinds the compound between the blades of worms
rotating with different velocities.
The article also describes and illustrates (by detailed
drawings) the following installationst "YO(D-I"t "MOO-1 "t
merrr-go-round installationg " CHO-2", and other merry-go-round
installations with# respectivelYt 5t6 and 14 positional and an
automatic conveyer-type installation. The Information includes
the names of the institutes where the installations have been
designed,
Thor* are 12 figures &nd 11 Russian references.
AUILABLEt Library of Congress
Card 2J2

AUTHOR - Krylov, V,7t. S~;,7-129-" -9-15/21
TITLE: Review of the Book "Mechanization and A~Aomkitization of
Canting Production" (Retnenziya nit knif.7u
i avtomatizatsiya litaynogo proizvod9tva'',
PI-I'l?l 01) 1 CA L: Liteynoye proizvodstvo, 1958, Nr 8, m, 21-22 11)
AZ~3TPACT: fhe above-
mentioned book by A. N. Sokolov, Candidate of Techtiical
Sciences, Lenisdat, 1957, is reviewed.
1, Foundries--Equipment 2. Metals--Casting 3. Gcntr,;~! sy3t-_,iJ
--Applications
Card 1/1

XRTLOVv Voloo insh,
Valuable manuals for fomdr7 vorkers. Izobr. i rate. no.10.-
45-46 0 138, (BIbIlography-Foundlng) (MIRA 11:11)
: n;~ ".
- ". j.-

BRDNTVETH, L.R.: KMPV
"V.-
Manufacturing cast tools. StanA instr. 29 no-11:39-41 11 158.
(Molding (Founditw)) OURA 11:11)

KRYLOV, V-I-, Insh
Now machine tools made in Hungary. Test-mash. 38 no.10:85-86
0 158. (WRA IWO
(Hugary-Machina tools)

18(5-7)
'
UT
6R SOV/128-59-3-9/31
H
:
A Krylovo v,r.t Engineer
TITLE: Laboratory Equipment for Testing of Mold and Core Mixes
PERIODICAL: T,iteynoye Proizvodstvo, 1959, TIr 3, pp 19-20 (USSR)
ABSTRACT: During the recent years the machine industry of t1ite
People's Republic of HUNGARY lose one of the moist
rapidly developing branches of the national economy. It
has started already to manufacture a number of new pro-
ducts. The plant "METRIMPEKS" at BUDATE3T, as a sample,
produces modern laboratory equipment for the testing of
molding materials. To gather sample from raw materials
an apparatus (Type HVV 1 ) has been designed in the
shape of a tube. For a faster determination of humidi-
ty a drying apparatus (Type H`VG 1) has been produced,
drying the sample of the matesial within 2 to 3 minu-
ted ( maximum temperature 120 Celsius). In addition
to these apparatus a laboratory scale for fast
weighing of up to 500 gramms is available, having an
accuracy of + 0,1 gramm. This scale has two dials to
Card 1/2 weigh the sa7ples prior to and right after drying.

SOV/128-59-3-9/31
Laboratory Equipment for Testing of Mold and Core Mixes
For the determination of the loamy properties of mol-
ding materials an apparatus (Type RV1-1) has been pro-
duced. For the determination of the degree of grain
coarseness of sands a screen (Type HVO-1 has been de-
signed (vibration 280 to 300 times per minute) driven
by an electric motor of 30 Watt. The standard design
for the determination of the mechanical properties of
materials is the apparatus (Type HVD-1). The hydraulic
apparatus (Type EVS-1) has been constructed to deter-
mine the expansionj bendingt compression and cutting
properties of the molding material. For the determina-
tion of the porosity (for gas) of the material the appa-
ratus (Type HVL-1) has been built. It carries one pres-
sure gauge with three soaleat one for air and two for
gas. There are 5 diagrams.
Card 2/2

22(l)
SG7/1 17 -5~)-- 3--~5/37
AUTHOR: Krylov, V. I. , Engineer
TITLE: More Attention to the 'Publication of Handbooks (Bol
she vnimanlya vypusku sprnvochnoy literatury)
PERIODICAL: Mashinostroitel 1, 1959, 11r 3, 1) 116 (MSSR)
ABSTRACT: The author states that technical literature makes up
20% of the literature published in the USSR and tech-
nical handbooks are publislipl in up to 150 thousand
copy editions ("The Mletal.Workers Handbook" in 5
volumes). There are too many duplicatiohs of in-
formation, particularly of general-technical inform-
ation. Some editors are sloppy in their work, and
permit faulty formulae and wrong fiG-ures to pass.
The major handbooks are made by many authors .,iho
live in different towns; this leads to lack of co-
ordination. The author thinks it better to edit
in large quantity one separate General-technical
handbook, and publish opecial handbooks for engin-
eers and short handbook-P for the in,,i,~s-profession
Card 1/1 workers.
_0

18 (5), 25 (5) SOV/128-59-11-1/24
AUTHOR: Krylov, V.I., Engineer
TITLE: Technical Progress in the Foundry Industry - Decisive
Condition of Fulfillment of the Seven-Year Plan Ahead
of Time
PERIODICAL: Liteynoye proizvodstvo, 1959, Nr 11, p 1. (USSR)
ABSTRACT: The June Plenum of the Central Committee of the CPSU
has outlined the most efficient methods for bringing
about the decisions passed at the 21st Congress of
the CPSU. The foundry industry occupies a prominent
place among all branches of the national economy in
the Soviet Union. Production of castings in the ma-
chine-building industry amounts already to over 14
million tone a year; However, the volume of metal wa-
sted when machining is still about 14% by weight of
castings produced. In the author's opinion, the most
important problem in the foundry industry is decrea-
sing metal waste, and this can be attained only by
Card 112 Increasing the accuracy of castings. The author enu-

SOY/128-59-11.-1/24
Technical Progress In the Foundry Industry - Decisive Condition of
Fulfillment of the Seven-Year Plan Ahead of Time
merates some measures needed for the improvement of
foundry production: Building automatic machines for
preparing molds and cores with the application of me-
cbanized inside factory transportation; designing and
introducing automatic machines for preparing models,
surfacing, molding, removing cores and cleaning cast-
inge; designing machines for die casting. Precise ca-
sting which requires considerably less subsequent ma-
chining, constitutes at present, only about 10%. The
author assumes that the need for precise castings for
the Moscow City Sovnarkboz will increase in 1965 a-
long the following lines: Shell molding - 16 times;
model casting over 3 times; and die casting - 5
times.
Card'2/2

V. I.
Wa7s to reduce the coot of raking metallic molds. Lit. proizv.
no.6:19-20 Je 160* (HDU 13:8)
(Shell molding (Founding)--Costa)

Siff-STOPAL, v.m., doktor tokhn. nauk; EEiLqI, L.7a., doktor ekon.
nauk, ratsenzent; ZUTEV, V.P.1 inzh., retsenzent, IVANOV,
D.P., doktor tekhn. naukf retsenzent; APklWV,, V.I.,, inzh.,
red.; BARYXOVA, G.I., red.lzd-vai P111-11MOVA, G.V., tekhn.
red.
(Specinlizntion and the design or foundry shops and plnnt5l
~petnlalizatslin I proektirovanif, liteinykh tnekhov i zavo-
dov. floskvn, Mashgiz, 1963. 223 p. (MIRA 16:10)
(FoundrJes)

11y,iraulJc expander for Increasinf, thro, d1ar-oter of a well.
Bvirenlo no.4:3-5 164, (MIRA 1815)
3. Tatarskly neftyanoy natic lin,,)- lmv Pid",va tr- V v kly Institut, g,
Durullma.
4 un

F 1:Y i
u i tie ri lt,,~ns ive
kerf liu,
V". n o
'T~it;irvkly neftyalloy rj!j,hr M A 8
trest
,~7 J.'; jjv--~.~t,

K MOV, V.I.; ADDRAKHMANOV, G.S.; SI]Kfl~'NKO, N.I.
UL3o of drillable packers to excluie circulation-loss zonea and
cave-ins. Burenie no.7:E~10 164. (MIRA 18:5)
1. Tatarokiy neftyanoy nauchno-IBsledovatellekiy institut, g.
Dugullma.

Drillable Packer with a velf-sealirit rl~ont*rs Burc-nle no.8slo-11
'64. v (KIPA 1815)
lo Tatarskiy neftyanoy nauchno-lsaledova tell rkly Imtitut, g.
Bugullma.

UYKSE"W,-M V ~-JVLASOV~YeJ4-XMOV V.I.
DetirminIng ths quantity and quality of p2ugging mixtures for
eNcluding ~irculation-losa zones. Hurenie no.9t9-12 164.
(MIRA 2815)
3. Tatarskly neftyanoy nauchno-leoledovatellekly institut" go
Bugullma.
44

I ''
KRYIICV, I.I.; fLT;6V', G.S... FUI.(7,
Deer) !,,ell Inv,ostigationa conducted wIlti-I a v!r~.,t to !.te
v t vito I,i: i,,) of" an abmo-,blTW, bed. llurenl(.~ '~~5-
(MIRA 18:5)
1. Tatnrskly nefty,-.,nriy In5titut.

V.
iL !-.e f,. i jL: ng
alunilriur. and v
III , tA,, Hi
kh.iriform. 18 no.4:14'-p, (X-' RA :6)

KRYIcV, VLADT....11i while-.1101i.
Avtotor,moza lokomotivov. Utverzhdeno v kacheqtve uchehnika. Moskva,
Transzheldorizdat, 1910. 303 P. illus. (Uchp1)nIkI d1la shkol
mashindstov lokomotimov)
Automatic brakes of locomotives.
DLC: TF415.K7
SO: Manufacturing and Mezhanical Engineering In the Soviet Union, Library of
Congress, 1953.

KATRC-50Y, I.K., laureat Stalinakoy premii; TEGORCHMIKO, Y.F.; KARTATSKIT,
B.L.; AGAYONOV, PXROY, A.W.; KRUTITSKIT,
0
Y.F.; =AZOV, I.G.; TINHONOT, P.S., red.; XHITROV, F.A,, takhn,red,
[Automatic brakes; installation, operation, maintenance, and
repair] Avtotormosaj ustroletvo, upravlenia, obalushivania i
remont. Isd.4., ispr. i dop. Moskva, 0oe.tran9p.zhal-dor.izd-vo#
1951. 253 P. (MIRA 12:11)
(Brakes)