Class information for:
Level 1: OSCILLATING BOUNDARY//OPERATOR ERROR ESTIMATES//PERIODIC DIFFERENTIAL OPERATORS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18050 569 19.7 32%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
2568 2             HOMOGENIZATION//TWO SCALE CONVERGENCE//PERFORATED DOMAINS 3706
18050 1                   OSCILLATING BOUNDARY//OPERATOR ERROR ESTIMATES//PERIODIC DIFFERENTIAL OPERATORS 569

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 OSCILLATING BOUNDARY authKW 723044 3% 84% 16
2 OPERATOR ERROR ESTIMATES authKW 701205 2% 93% 14
3 PERIODIC DIFFERENTIAL OPERATORS authKW 657378 2% 88% 14
4 EFFECTIVE OPERATOR authKW 603710 3% 75% 15
5 CONCENTRATED MASSES authKW 572403 3% 67% 16
6 ROUGH BOUNDARY authKW 476989 4% 44% 20
7 RAPIDLY OSCILLATING BOUNDARY authKW 268319 1% 100% 5
8 EFFECTIVE BOUNDARY CONDITION authKW 241484 1% 75% 6
9 THICK JUNCTION authKW 214655 1% 100% 4
10 THICK MULTI STRUCTURE authKW 214655 1% 100% 4

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 7785 46% 0% 264
2 Mathematics 6634 47% 0% 266
3 Mechanics 512 11% 0% 64
4 Physics, Mathematical 221 6% 0% 35
5 Multidisciplinary Sciences 131 3% 0% 16
6 Mathematics, Interdisciplinary Applications 81 3% 0% 18
7 Literature, American 26 0% 0% 2
8 Cultural Studies 11 0% 0% 2
9 Physics, Fluids & Plasmas 7 1% 0% 8
10 Automation & Control Systems 6 1% 0% 6

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MATEMAT LICADA CIENCIAS COMPUTAC 138740 3% 16% 16
2 DIFFERENTIAL EQUAT 113672 5% 8% 26
3 DMA CNRS 107328 0% 100% 2
4 MATH METHODS SOLID MECH 107328 0% 100% 2
5 AUTOMAT ELE OMAGNETISM INFORMAT IND MATH 53664 0% 100% 1
6 BAT 101 53664 0% 100% 1
7 CMCUMR 8050 53664 0% 100% 1
8 CNRSUMR 135 53664 0% 100% 1
9 CURRICULUM AMER STUDIES 53664 0% 100% 1
10 DEFI TEAM 53664 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ST PETERSBURG MATHEMATICAL JOURNAL 41462 3% 4% 18
2 ASYMPTOTIC ANALYSIS 28351 4% 2% 25
3 RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 13682 1% 4% 7
4 COMPTES RENDUS MECANIQUE 8235 3% 1% 15
5 APPLICABLE ANALYSIS 7162 2% 1% 14
6 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 6547 4% 1% 21
7 MATHEMATICS OF THE USSR-SBORNIK 6219 2% 1% 9
8 RUSSIAN MATHEMATICAL SURVEYS 5569 3% 1% 16
9 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 5256 2% 1% 13
10 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 5223 2% 1% 13

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 OSCILLATING BOUNDARY 723044 3% 84% 16 Search OSCILLATING+BOUNDARY Search OSCILLATING+BOUNDARY
2 OPERATOR ERROR ESTIMATES 701205 2% 93% 14 Search OPERATOR+ERROR+ESTIMATES Search OPERATOR+ERROR+ESTIMATES
3 PERIODIC DIFFERENTIAL OPERATORS 657378 2% 88% 14 Search PERIODIC+DIFFERENTIAL+OPERATORS Search PERIODIC+DIFFERENTIAL+OPERATORS
4 EFFECTIVE OPERATOR 603710 3% 75% 15 Search EFFECTIVE+OPERATOR Search EFFECTIVE+OPERATOR
5 CONCENTRATED MASSES 572403 3% 67% 16 Search CONCENTRATED+MASSES Search CONCENTRATED+MASSES
6 ROUGH BOUNDARY 476989 4% 44% 20 Search ROUGH+BOUNDARY Search ROUGH+BOUNDARY
7 RAPIDLY OSCILLATING BOUNDARY 268319 1% 100% 5 Search RAPIDLY+OSCILLATING+BOUNDARY Search RAPIDLY+OSCILLATING+BOUNDARY
8 EFFECTIVE BOUNDARY CONDITION 241484 1% 75% 6 Search EFFECTIVE+BOUNDARY+CONDITION Search EFFECTIVE+BOUNDARY+CONDITION
9 THICK JUNCTION 214655 1% 100% 4 Search THICK+JUNCTION Search THICK+JUNCTION
10 THICK MULTI STRUCTURE 214655 1% 100% 4 Search THICK+MULTI+STRUCTURE Search THICK+MULTI+STRUCTURE

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 BORISOV, D , CARDONE, G , DURANTE, T , (2016) HOMOGENIZATION AND NORM-RESOLVENT CONVERGENCE FOR ELLIPTIC OPERATORS IN A STRIP PERFORATED ALONG A CURVE.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. VOL. 146. ISSUE 6. P. 1115 -1158 26 76% 0
2 MEL'NYK, TA , CHECHKIN, GA , (2015) EIGENVIBRATIONS OF THICK CASCADE JUNCTIONS WITH 'VERY HEAVY' CONCENTRATED MASSES.IZVESTIYA MATHEMATICS. VOL. 79. ISSUE 3. P. 467 -511 20 95% 0
3 AMIRAT, Y , BODART, O , DE MAIO, U , GAUDIELLO, A , (2013) EFFECTIVE BOUNDARY CONDITION FOR STOKES FLOW OVER A VERY ROUGH SURFACE.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 254. ISSUE 8. P. 3395-3430 22 85% 11
4 MESHKOVA, YM , SUSLINA, TA , (2016) HOMOGENIZATION OF INITIAL BOUNDARY VALUE PROBLEMS FOR PARABOLIC SYSTEMS WITH PERIODIC COEFFICIENTS.APPLICABLE ANALYSIS. VOL. 95. ISSUE 8. P. 1736 -1775 17 100% 1
5 LI, JY , ZHANG, KJ , (2011) REINFORCEMENT OF THE POISSON EQUATION BY A THIN LAYER.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 21. ISSUE 5. P. 1153 -1192 20 95% 2
6 CHECHKIN, GA , PEREZ, ME , YABLOKOVA, EI , (2005) NON-PERIODIC BOUNDARY HOMOGENIZATION AND "LIGHT" CONCENTRATED MASSES.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 54. ISSUE 2. P. 321-348 22 100% 8
7 SHARAPOV, TF , (2014) ON THE RESOLVENT OF MULTIDIMENSIONAL OPERATORS WITH FREQUENTLY CHANGING BOUNDARY CONDITIONS IN THE CASE OF THE HOMOGENIZED DIRICHLET CONDITION.SBORNIK MATHEMATICS. VOL. 205. ISSUE 10. P. 1492 -1527 18 90% 0
8 CHECHKIN, GA , (2005) ASYMPTOTIC EXPANSIONS OF EIGENVALUES AND EIGENFUNCTIONS OF AN ELLIPTIC OPERATOR IN A DOMAIN WITH MANY "LIGHT" CONCENTRATED MASSES SITUATED ON THE BOUNDARY. TWO-DIMENSIONAL CASE.IZVESTIYA MATHEMATICS. VOL. 69. ISSUE 4. P. 805-846 21 95% 9
9 CHECHKIN, GA , D'APICE, C , DE MAIO, U , PIATNITSKI, AL , (2014) ON THE RATE OF CONVERGENCE OF SOLUTIONS IN DOMAIN WITH RANDOM MULTILEVEL OSCILLATING BOUNDARY.ASYMPTOTIC ANALYSIS. VOL. 87. ISSUE 1-2. P. 1 -28 21 75% 1
10 CHECHKIN, GA , MEL'NYK, TA , (2012) ASYMPTOTICS OF EIGENELEMENTS TO SPECTRAL PROBLEM IN THICK CASCADE JUNCTION WITH CONCENTRATED MASSES.APPLICABLE ANALYSIS. VOL. 91. ISSUE 6. P. 1055 -1095 18 90% 4

Classes with closest relation at Level 1


Rank Class id link
1 21774 THIN DOMAINS//CONCENTRATING TERMS//DUMBBELL DOMAINS
2 5488 TWO SCALE CONVERGENCE//HOMOGENIZATION//PERFORATED DOMAINS
3 9864 LINEARIZED ELASTICITY//LIU BIE JU MATH SCI//ELASTIC MULTI STRUCTURES
4 7203 DOPPLER//TRAPPED MODES//POINT INTERACTIONS
5 19672 TOPOLOGICAL DERIVATIVE//TOPOLOGICAL SENSITIVITY//TOPOLOGICAL GRADIENT
6 13642 ROTATING OBSTACLE//FLUID RIGID BODY INTERACTION//ROTATING BODY
7 15111 PRIMITIVE EQUATIONS//SCI COMP PL MATH//PL MATH SCI COMP
8 11755 LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS
9 5050 TRANSMISSION EIGENVALUES//INVERSE SCATTERING//LINEAR SAMPLING METHOD
10 23766 TOLERANCE MODELLING//HOMOGENIZED MODEL//PERIODICALLY LAYERED COMPOSITE

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