Class information for:
Level 4: MATHEMATICS//MATHEMATICS, APPLIED//MATH

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15 719832 20.3 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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
197 3       CHAOS//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//PHYSICS, MATHEMATICAL 53660
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
234 3       JOURNAL OF ALGEBRA//MATHEMATICS//COMMUNICATIONS IN ALGEBRA 48681
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
281 3       MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 42804
325 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 38375
355 3       PERMANENCE//GLOBAL STABILITY//HOPF BIFURCATION 34946
383 3       STATISTICS & PROBABILITY//ANNALS OF PROBABILITY//STOCHASTIC PROCESSES AND THEIR APPLICATIONS 31557
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
446 3       MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE 26149
460 3       POSITIVE SOLUTION//MATHEMATICS, APPLIED//DIFFERENCE EQUATIONS 24500
485 3       LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED 23484
549 3       MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE 18286
568 3       COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 16883
609 3       FIXED POINT//HYERS ULAM STABILITY//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 14179
650 3       TOPOLOGY AND ITS APPLICATIONS//FUNDAMENTA MATHEMATICAE//MATHEMATICS 11574
664 3       MEROMORPHIC FUNCTION//UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS 10322
688 3       CONVEX BODY//STEREOLOGY//STAR BODY 8168

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 MATHEMATICS WoSSC 12443895 57% 77% 407032
2 MATHEMATICS, APPLIED WoSSC 5619658 35% 57% 254883
3 MATH address 4990636 31% 57% 226419
4 MATH SCI address 578381 5% 43% 35071
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS journal 555836 2% 82% 17013
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY journal 540415 2% 90% 14945
7 MATEMAT address 419923 2% 61% 17641
8 MATH STAT address 410250 4% 40% 27304
9 JOURNAL OF ALGEBRA journal 404448 2% 88% 11411
10 PHYSICS, MATHEMATICAL WoSSC 365997 7% 22% 49874

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 12443895 57% 77% 407032
2 Mathematics, Applied 5619658 35% 57% 254883
3 Physics, Mathematical 365997 7% 22% 49874
4 Mathematics, Interdisciplinary Applications 126654 3% 16% 24965
5 Statistics & Probability 109319 4% 14% 25434
6 Mechanics 44940 4% 8% 27344
7 Logic 27719 0% 23% 3441
8 Operations Research & Management Science 21862 2% 8% 12463
9 Computer Science, Software Engineering 20990 2% 8% 12601
10 Physics, Multidisciplinary 16606 4% 5% 29114

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 MATH 4990636 31% 57% 226419
2 MATH SCI 578381 5% 43% 35071
3 MATEMAT 419923 2% 61% 17641
4 MATH STAT 410250 4% 40% 27304
5 MATH COMP SCI 225588 2% 41% 14632
6 DIPARTIMENTO MATEMAT 218922 1% 64% 8738
7 PL MATH 216924 2% 39% 14976
8 MATH INFORMAT 95533 1% 53% 4627
9 MATH INFORMAT SCI 95198 1% 55% 4449
10 ANAL MATEMAT 81328 0% 88% 2298

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 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 555836 2% 82% 17013
2 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 540415 2% 90% 14945
3 JOURNAL OF ALGEBRA 404448 2% 88% 11411
4 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 336358 1% 84% 10030
5 COMMUNICATIONS IN ALGEBRA 287597 1% 86% 8300
6 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 286658 1% 89% 8054
7 JOURNAL OF FUNCTIONAL ANALYSIS 221087 1% 92% 5958
8 APPLIED MATHEMATICS AND COMPUTATION 214624 1% 56% 9784
9 JOURNAL OF DIFFERENTIAL EQUATIONS 197491 1% 83% 5947
10 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 196710 1% 77% 6451

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 FIXED POINT 123982 0% 87% 3531 Search FIXED+POINT Search FIXED+POINT
2 POSITIVE SOLUTION 102635 0% 98% 2580 Search POSITIVE+SOLUTION Search POSITIVE+SOLUTION
3 PERIODIC SOLUTION 85723 0% 82% 2615 Search PERIODIC+SOLUTION Search PERIODIC+SOLUTION
4 CHAOS 72098 1% 49% 3840 Search CHAOS Search CHAOS
5 EXISTENCE 66308 0% 78% 2118 Search EXISTENCE Search EXISTENCE
6 BANACH SPACE 63674 0% 91% 1748 Search BANACH+SPACE Search BANACH+SPACE
7 ASYMPTOTIC BEHAVIOR 54580 0% 85% 1607 Search ASYMPTOTIC+BEHAVIOR Search ASYMPTOTIC+BEHAVIOR
8 VARIATIONAL INEQUALITY 54576 0% 76% 1804 Search VARIATIONAL+INEQUALITY Search VARIATIONAL+INEQUALITY
9 BLOW UP 53293 0% 86% 1544 Search BLOW+UP Search BLOW+UP
10 EIGENVALUES 48567 0% 53% 2349 Search EIGENVALUES Search EIGENVALUES

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 BERINDE, V , (2007) ITERATIVE APPROXIMATION OF FIXED POINTS - INTRODUCTION.ITERATIVE APPROXIMATION OF FIXED POINTS. VOL. 1912. ISSUE . P. 1 -306 404 94% 225
2 KADALBAJOO, MK , GUPTA, V , (2010) A BRIEF SURVEY ON NUMERICAL METHODS FOR SOLVING SINGULARLY PERTURBED PROBLEMS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 217. ISSUE 8. P. 3641 -3716 472 96% 24
3 DIENING, L , HARJULEHTO, P , HASTO, P , RUZICKA, M , (2011) LEBESGUE AND SOBOLEV SPACES WITH VARIABLE EXPONENTS.LEBESGUE AND SOBOLEV SPACES WITH VARIABLE EXPONENTS. VOL. 2017. ISSUE . P. 1 -+ 225 100% 301
4 JEON, JH , CHERSTVY, AG , BARKAI, E , METZLER, R , (2014) ANOMALOUS DIFFUSION MODELS AND THEIR PROPERTIES: NON-STATIONARITY, NON-ERGODICITY, AND AGEING AT THE CENTENARY OF SINGLE PARTICLE TRACKING.PHYSICAL CHEMISTRY CHEMICAL PHYSICS. VOL. 16. ISSUE 44. P. 24128 -24164 213 70% 156
5 DAVIS, TA , RAJAMANICKAM, S , SID-LAKHDAR, WM , (2016) A SURVEY OF DIRECT METHODS FOR SPARSE LINEAR SYSTEMS.ACTA NUMERICA. VOL. 25. ISSUE . P. 383 -566 317 89% 0
6 ZHANG, HG , WANG, ZS , LIU, DR , (2014) A COMPREHENSIVE REVIEW OF STABILITY ANALYSIS OF CONTINUOUS-TIME RECURRENT NEURAL NETWORKS.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS. VOL. 25. ISSUE 7. P. 1229 -1262 236 82% 60
7 BELLOMO, N , BELLOUQUID, A , TAO, Y , WINKLER, M , (2015) TOWARD A MATHEMATICAL THEORY OF KELLER-SEGEL MODELS OF PATTERN FORMATION IN BIOLOGICAL TISSUES.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 25. ISSUE 9. P. 1663 -1763 155 90% 54
8 BOCCALETTI, S , KURTHS, J , OSIPOV, G , VALLADARES, DL , ZHOU, CS , (2002) THE SYNCHRONIZATION OF CHAOTIC SYSTEMS.PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS. VOL. 366. ISSUE 1-2. P. 1 -101 204 69% 1331
9 LOWENGRUB, JS , FRIEBOES, HB , JIN, F , CHUANG, YL , LI, X , MACKLIN, P , WISE, SM , CRISTINI, V , (2010) NONLINEAR MODELLING OF CANCER: BRIDGING THE GAP BETWEEN CELLS AND TUMOURS.NONLINEARITY. VOL. 23. ISSUE 1. P. R1 -R91 288 65% 130
10 BERNAL-GONZALEZ, L , PELLEGRINO, D , SEOANE-SEPULVEDA, JB , (2014) LINEAR SUBSETS OF NONLINEAR SETS IN TOPOLOGICAL VECTOR SPACES.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 51. ISSUE 1. P. 71 -130 167 100% 42

Classes with closest relation at Level 4


Rank Class id link
1 9 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS
2 10 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY
3 16 ENGINEERING, CIVIL//CONSTRUCTION & BUILDING TECHNOLOGY//MECHANICS
4 18 THERMODYNAMICS//ENERGY & FUELS//ENGINEERING, CHEMICAL
5 24 ENGINEERING, ELECTRICAL & ELECTRONIC//IEEE TRANSACTIONS ON POWER SYSTEMS//IEEE TRANSACTIONS ON POWER ELECTRONICS
6 22 PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS//IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY//PHYSICS, CONDENSED MATTER
7 12 POLYMER SCIENCE//MATERIALS SCIENCE, PAPER & WOOD//CHEMISTRY, PHYSICAL
8 19 ASTRONOMY & ASTROPHYSICS//ASTROPHYSICAL JOURNAL//ASTRON
9 20 PHYSICS, NUCLEAR//PHYSICS, PARTICLES & FIELDS//PHYSICAL REVIEW C
10 4 ENVIRONMENTAL SCIENCES//GEOSCIENCES, MULTIDISCIPLINARY//METEOROLOGY & ATMOSPHERIC SCIENCES

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