Class information for:
Level 1: REPRODUCING KERNEL SPACE//NONLOCAL BOUNDARY CONDITIONS//REPRODUCING KERNEL METHOD

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
14383 773 20.6 42%



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
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
895 2             SHISHKIN MESH//SINGULAR PERTURBATION//MATHEMATICS, APPLIED 11341
14383 1                   REPRODUCING KERNEL SPACE//NONLOCAL BOUNDARY CONDITIONS//REPRODUCING KERNEL METHOD 773

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 REPRODUCING KERNEL SPACE authKW 983413 5% 66% 38
2 NONLOCAL BOUNDARY CONDITIONS authKW 734672 9% 26% 71
3 REPRODUCING KERNEL METHOD authKW 617185 3% 63% 25
4 NONLOCAL INTEGRAL CONDITION authKW 455418 2% 82% 14
5 INTEGRAL CONDITION authKW 354020 3% 41% 22
6 NON CLASSIC BOUNDARY VALUE PROBLEMS authKW 280894 1% 89% 8
7 DIFFERENCE SCHEMES authKW 258030 4% 23% 28
8 REPRODUCING KERNEL HILBERT SPACE METHOD authKW 246116 1% 69% 9
9 NONLOCAL BOUNDARY VALUE PROBLEMS authKW 224507 2% 32% 18
10 CENTRAL PROCESSOR TIME authKW 203146 1% 86% 6

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 21717 66% 0% 509
2 Mathematics 9046 47% 0% 362
3 Mathematics, Interdisciplinary Applications 1271 10% 0% 74
4 Engineering, General 231 5% 0% 36
5 Mechanics 91 5% 0% 37
6 Physics, Mathematical 70 3% 0% 26
7 Multidisciplinary Sciences 65 2% 0% 14
8 Computer Science, Software Engineering 9 1% 0% 10
9 Automation & Control Systems 7 1% 0% 8
10 Computer Science, Interdisciplinary Applications 2 1% 0% 9

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 NABEREZHNYE CHELNY BRANCH 59249 0% 50% 3
2 AJLOUN 48611 1% 31% 4
3 EQUAT DIFFERETIELLE 39501 0% 100% 1
4 FINANCE TAXES 39501 0% 100% 1
5 GUIDO GASTELNUOVO 39501 0% 100% 1
6 PL MATH N TERRACE 39501 0% 100% 1
7 PROBLEMS INFORMAT SCI REG MANAGEMENT 39501 0% 100% 1
8 SCI MALAZ 39501 0% 100% 1
9 VUZGORODOK 39501 0% 100% 1
10 EQUAT DIFFERENTIELLES 35547 0% 30% 3

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 MATHEMATICAL MODELLING AND ANALYSIS 118522 5% 8% 37
2 DIFFERENTIAL EQUATIONS 51852 9% 2% 70
3 NONLINEAR ANALYSIS-MODELLING AND CONTROL 41538 2% 6% 19
4 LITHUANIAN MATHEMATICAL JOURNAL 21721 2% 4% 14
5 APPLIED MATHEMATICS AND COMPUTATION 15879 11% 0% 84
6 ABSTRACT AND APPLIED ANALYSIS 15044 5% 1% 41
7 BOUNDARY VALUE PROBLEMS 11549 3% 1% 21
8 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 10533 2% 1% 19
9 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 8669 3% 1% 26
10 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 3563 2% 0% 19

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 REPRODUCING KERNEL SPACE 983413 5% 66% 38 Search REPRODUCING+KERNEL+SPACE Search REPRODUCING+KERNEL+SPACE
2 NONLOCAL BOUNDARY CONDITIONS 734672 9% 26% 71 Search NONLOCAL+BOUNDARY+CONDITIONS Search NONLOCAL+BOUNDARY+CONDITIONS
3 REPRODUCING KERNEL METHOD 617185 3% 63% 25 Search REPRODUCING+KERNEL+METHOD Search REPRODUCING+KERNEL+METHOD
4 NONLOCAL INTEGRAL CONDITION 455418 2% 82% 14 Search NONLOCAL+INTEGRAL+CONDITION Search NONLOCAL+INTEGRAL+CONDITION
5 INTEGRAL CONDITION 354020 3% 41% 22 Search INTEGRAL+CONDITION Search INTEGRAL+CONDITION
6 NON CLASSIC BOUNDARY VALUE PROBLEMS 280894 1% 89% 8 Search NON+CLASSIC+BOUNDARY+VALUE+PROBLEMS Search NON+CLASSIC+BOUNDARY+VALUE+PROBLEMS
7 DIFFERENCE SCHEMES 258030 4% 23% 28 Search DIFFERENCE+SCHEMES Search DIFFERENCE+SCHEMES
8 REPRODUCING KERNEL HILBERT SPACE METHOD 246116 1% 69% 9 Search REPRODUCING+KERNEL+HILBERT+SPACE+METHOD Search REPRODUCING+KERNEL+HILBERT+SPACE+METHOD
9 NONLOCAL BOUNDARY VALUE PROBLEMS 224507 2% 32% 18 Search NONLOCAL+BOUNDARY+VALUE+PROBLEMS Search NONLOCAL+BOUNDARY+VALUE+PROBLEMS
10 CENTRAL PROCESSOR TIME 203146 1% 86% 6 Search CENTRAL+PROCESSOR+TIME Search CENTRAL+PROCESSOR+TIME

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 STIKONAS, A , (2014) A SURVEY ON STATIONARY PROBLEMS, GREEN'S FUNCTIONS AND SPECTRUM OF STURM-LIOUVILLE PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS.NONLINEAR ANALYSIS-MODELLING AND CONTROL. VOL. 19. ISSUE 3. P. 301 -334 65 57% 17
2 SAPAGOVAS, M , STIKONIENE, O , CIUPAILA, R , JOKSIENE, Z , (2016) CONVERGENCE OF ITERATIVE METHODS FOR ELLIPTIC EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 28 88% 0
3 YOUSEFI, SA , BEHROOZIFAR, M , DEHGHAN, M , (2011) THE OPERATIONAL MATRICES OF BERNSTEIN POLYNOMIALS FOR SOLVING THE PARABOLIC EQUATION SUBJECT TO SPECIFICATION OF THE MASS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 235. ISSUE 17. P. 5272 -5283 32 76% 16
4 STIKONIENE, O , SAPAGOVAS, M , CIUPAILA, R , (2014) ON ITERATIVE METHODS FOR SOME ELLIPTIC EQUATIONS WITH NONLOCAL CONDITIONS.NONLINEAR ANALYSIS-MODELLING AND CONTROL. VOL. 19. ISSUE 3. P. 517 -535 24 96% 4
5 GHOREISHI, M , ISMAIL, AIBM , RASHID, A , (2014) A NEW FOURTH-ORDER EXPLICIT FINITE DIFFERENCE METHOD FOR THE SOLUTION OF PARABOLIC PARTIAL DIFFERENTIAL EQUATION WITH NONLOCAL BOUNDARY CONDITIONS.JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS. VOL. 16. ISSUE 3. P. 528 -539 26 84% 0
6 DEHGHAN, M , (2006) A COMPUTATIONAL STUDY OF THE ONE-DIMENSIONAL PARABOLIC EQUATION SUBJECT TO NONCLASSICAL BOUNDARY SPECIFICATIONS.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. VOL. 22. ISSUE 1. P. 220 -257 37 59% 95
7 DEHGHAN, M , (2007) THE ONE-DIMENSIONAL HEAT EQUATION SUBJECT TO A BOUNDARY INTEGRAL SPECIFICATION.CHAOS SOLITONS & FRACTALS. VOL. 32. ISSUE 2. P. 661 -675 32 67% 51
8 MORADI, E , BABOLIAN, E , JAVADI, S , (2015) THE EXPLICIT FORMULAS FOR REPRODUCING KERNEL OF SOME HILBERT SPACES.MISKOLC MATHEMATICAL NOTES. VOL. 16. ISSUE 2. P. 1041 -1053 19 100% 0
9 FARDI, M , GHASEMI, M , (2017) SOLVING NONLOCAL INITIAL-BOUNDARY VALUE PROBLEMS FOR PARABOLIC AND HYPERBOLIC INTEGRO-DIFFERENTIAL EQUATIONS IN REPRODUCING KERNEL HILBERT SPACE.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. VOL. 33. ISSUE 1. P. 174 -198 20 91% 0
10 JAKUBELIENE, K , SAPAGOVAS, M , (2013) ON THE STABILITY OF A DIFFERENCE SCHEME FOR A TWO-DIMENSIONAL PARABOLIC EQUATION WITH AN INTEGRAL CONDITION.LITHUANIAN MATHEMATICAL JOURNAL. VOL. 53. ISSUE 3. P. 311-323 22 88% 1

Classes with closest relation at Level 1



Rank Class id link
1 26010 LINEAR HYPERBOLIC EQUATION//TELEGRAPH EQUATION//SINE GORDON EQUATION
2 7697 ILL POSED PROBLEM//INVERSE SOURCE PROBLEM//BACKWARD HEAT PROBLEM
3 17000 NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS
4 30963 HEAT CONVECTION EQUATION//METHOD OF CORRECTIONS//DISJOINT DOMAINS
5 14340 MAXIMAL REGULARITY//DIFFERENTIAL OPERATOR EQUATIONS//OPERATOR VALUED FOURIER MULTIPLIERS
6 22112 RESOLVENT CONDITION//KREISS MATRIX THEOREM//MAXIMUM NORM
7 36205 OVERDETERMINATION CONDITION//ULTRAPARABOLIC EQUATIONS//ANISOTROPIC UNIQUENESS CLASS
8 561 POSITIVE SOLUTION//CONE//FIXED POINT INDEX
9 5428 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION
10 34275 NONLINEAR INTEGRO PARTIAL DIFFERENTIAL EQUATION//EPIDEMIC SYSTEMS//INTEGRAL NONLOCAL TERM

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