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

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
11 991155 21.5 44%



Bar chart of Publication_year

Last years might be incomplete

Classes in level below (level 3)



ID, lev.
below
Publications Label for level below
68 85468 JOURNAL OF TURBOMACHINERY-TRANSACTIONS OF THE ASME//AIAA JOURNAL//ENGINEERING, AEROSPACE
89 75682 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS//NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS//JOURNAL OF DIFFERENTIAL EQUATIONS
111 68233 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//CHAOS//SYNCHRONIZATION
116 67192 MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
181 52259 JOURNAL OF STATISTICAL PHYSICS//ISING MODEL//JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
193 49883 INSURANCE MATHEMATICS & ECONOMICS//STATISTICS & PROBABILITY//STOCHASTIC PROCESSES AND THEIR APPLICATIONS
219 46842 BACKLUND TRANSFORMATION//CAMASSA HOLM EQUATION//NONLINEAR SCHRODINGER EQUATIONS
231 44695 JOURNAL OF ALGEBRA//COMMUNICATIONS IN ALGEBRA//ALGEBRAS AND REPRESENTATION THEORY
238 43607 JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA//INTERNATIONAL JOURNAL OF NUMBER THEORY
298 36539 PERMANENCE//ECONOPHYSICS//GLOBAL ATTRACTIVITY
308 35956 LINEAR ALGEBRA AND ITS APPLICATIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
342 32656 LOGIC//JOURNAL OF SYMBOLIC LOGIC//ALGEBRA UNIVERSALIS
351 31738 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING//ISOGEOMETRIC ANALYSIS//INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
359 31241 STUDIA MATHEMATICA//ROUGH KERNEL//BMO
366 30560 POSITIVE SOLUTION//FIXED POINT THEOREMS//NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
368 30380 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
407 26322 PT SYMMETRY//SCHRODINGER OPERATORS//NIKIFOROV UVAROV METHOD
415 25496 INVERSE PROBLEMS//ELECTRICAL IMPEDANCE TOMOGRAPHY//MESHLESS METHOD
437 24407 BENARD CONVECTION//BELOUSOV ZHABOTINSKY REACTION//SPIRAL WAVE
440 24344 JOURNAL OF OPERATOR THEORY//C ALGEBRAS//C ALGEBRA
491 20524 ERGODIC THEORY AND DYNAMICAL SYSTEMS//NIELSEN NUMBERS//HAUSDORFF DIMENSION
509 18614 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
523 17550 MEROMORPHIC FUNCTIONS//STARLIKE FUNCTIONS//NEVANLINNA THEORY
524 17388 STOCHASTIC RESONANCE//NONEXTENSIVE STATISTICAL MECHANICS//COHERENCE RESONANCE
550 15520 COMPUTER AIDED GEOMETRIC DESIGN//COMPUTER-AIDED DESIGN//SEMILOCAL CONVERGENCE
604 11589 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//GABOR FRAME//SHIFT INVARIANT SPACE
613 11147 MEI SYMMETRY//MATH MECH MATH PHYS//CONSERVED QUANTITY
638 9073 HYERS ULAM STABILITY//STATISTICAL CONVERGENCE//BEST PROXIMITY POINT
662 6250 CONVEX BODY//STEREOLOGY//STAR BODY

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of publ.
in class
1 MATHEMATICS WoS category 685626 82% 41% 401902
2 MATHEMATICS, APPLIED WoS category 249934 62% 26% 256204
3 MATH Address 229481 64% 23% 227193
4 PHYSICS, MATHEMATICAL WoS category 58436 45% 10% 96836
5 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Journal 37186 92% 1% 14762
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Journal 28112 82% 2% 16136
7 JOURNAL OF ALGEBRA Journal 27738 91% 1% 11269
8 MATH SCI Address 25367 51% 4% 35677
9 MATEMAT Address 23160 71% 2% 18492
10 COMMUNICATIONS IN ALGEBRA Journal 22184 93% 1% 8414

Web of Science journal categories



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of publ.
in class
1 Mathematics 685626 82% 41% 401902
2 Mathematics, Applied 249934 62% 26% 256204
3 Physics, Mathematical 58436 45% 10% 96836
4 Mechanics 17448 22% 7% 70220
5 Mathematics, Interdisciplinary Applications 14333 29% 4% 41379
6 Physics, Multidisciplinary 13565 15% 8% 83496
7 Physics, Fluids & Plasmas 11484 25% 4% 40763
8 Statistics & Probability 6706 19% 3% 31314
9 Logic 5240 54% 1% 6818
10 Engineering, Aerospace 4333 24% 2% 15591

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of publ.
in class
LCSH search Wikipedia search
1 POSITIVE SOLUTION 4402 96% 0% 1345 Search POSITIVE+SOLUTION Search POSITIVE+SOLUTION
2 POSITIVE SOLUTIONS 3233 96% 0% 994 Search POSITIVE+SOLUTIONS Search POSITIVE+SOLUTIONS
3 PERIODIC SOLUTION 3120 87% 0% 1512 Search PERIODIC+SOLUTION Search PERIODIC+SOLUTION
4 P LAPLACIAN 2900 95% 0% 999 Search P+LAPLACIAN Search P+LAPLACIAN
5 NAVIER STOKES EQUATIONS 2753 69% 0% 2366 Search NAVIER+STOKES+EQUATIONS Search NAVIER+STOKES+EQUATIONS
6 ERROR ESTIMATES 2658 80% 0% 1666 Search ERROR+ESTIMATES Search ERROR+ESTIMATES
7 BLOW UP 2640 88% 0% 1228 Search BLOW+UP Search BLOW+UP
8 BOUNDARY VALUE PROBLEMS 2525 69% 0% 2167 Search BOUNDARY+VALUE+PROBLEMS Search BOUNDARY+VALUE+PROBLEMS
9 EXISTENCE 2524 73% 0% 1920 Search EXISTENCE Search EXISTENCE
10 FIXED POINT THEOREMS 2489 86% 0% 1275 Search FIXED+POINT+THEOREMS Search FIXED+POINT+THEOREMS

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of publ.
in class
1 EXISTENCE 18984 70% 2% 15838
2 EQUATIONS 15864 46% 3% 25577
3 SPACES 12878 67% 1% 11622
4 POSITIVE SOLUTIONS 12239 97% 0% 3448
5 DIFFERENTIAL EQUATIONS 10656 75% 1% 7679
6 ALGEBRAS 10539 79% 1% 6777
7 BOUNDARY VALUE PROBLEMS 10307 85% 1% 5501
8 MANIFOLDS 8834 71% 1% 7061
9 OPERATORS 8089 59% 1% 8996
10 THEOREM 7274 59% 1% 8160

Journals



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of publ.
in class
1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 37186 92% 1% 14762
2 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 28112 82% 2% 16136
3 JOURNAL OF ALGEBRA 27738 91% 1% 11269
4 COMMUNICATIONS IN ALGEBRA 22184 93% 1% 8414
5 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 21487 93% 1% 8083
6 JOURNAL OF FUNCTIONAL ANALYSIS 16304 94% 1% 5764
7 TOPOLOGY AND ITS APPLICATIONS 15839 95% 1% 5358
8 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 14977 80% 1% 9313
9 JOURNAL OF DIFFERENTIAL EQUATIONS 14417 91% 1% 5868
10 MATHEMATISCHE ANNALEN 14339 96% 0% 4313

Reviews



Title Publ. year Cit. Active references % act. ref.
to same field
Statistical mechanics of complex networks 2002 7339 109 72%
The structure and function of complex networks 2003 5591 237 68%
Community detection in graphs 2010 1435 208 74%
Complex networks: Structure and dynamics 2006 3148 625 67%
Thermodynamics of information 2015 14 73 92%
Lagrangian Coherent Structures 2015 14 95 91%
Stochastic resonance 1998 3505 216 87%
The structure and dynamics of multilayer networks 2014 102 345 71%
Exploring complex networks 2001 3102 58 76%
PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM 1993 4423 793 90%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of publ.
in class
1 MATH 229481 64% 23% 227193
2 MATH SCI 25367 51% 3.6% 35677
3 MATEMAT 23160 71% 1.9% 18492
4 MATH STAT 17464 47% 2.8% 27327
5 DIPARTIMENTO MATEMAT 11740 72% 0.9% 9115
6 PL MATH 9657 46% 1.6% 15767
7 MATH COMP SCI 8944 46% 1.5% 14498
8 ANAL MATEMAT 4427 88% 0.2% 2080
9 MATH INFORMAT 3894 58% 0.5% 4471
10 PURE MATH 3676 83% 0.2% 2070

Related classes at same level (level 4)



Rank Relatedness score Related classes
1 0.0000000216 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS
2 0.0000000142 ENGINEERING, ELECTRICAL & ELECTRONIC//MICROWAVE AND OPTICAL TECHNOLOGY LETTERS//IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
3 0.0000000133 OPTICS//PHYSICAL REVIEW A//PHYSICS, APPLIED
4 0.0000000130 PHYSICS, PARTICLES & FIELDS//ASTRONOMY & ASTROPHYSICS//PHYSICAL REVIEW D
5 0.0000000124 METALLURGY & METALLURGICAL ENGINEERING//MATERIALS SCIENCE, MULTIDISCIPLINARY//ENGINEERING, MECHANICAL
6 0.0000000108 ECONOMICS//OPERATIONS RESEARCH & MANAGEMENT SCIENCE//BUSINESS
7 0.0000000093 GEOCHEMISTRY & GEOPHYSICS//GEOSCIENCES, MULTIDISCIPLINARY//METEOROLOGY & ATMOSPHERIC SCIENCES
8 0.0000000092 POLYMER SCIENCE//ENGINEERING, CHEMICAL//CHEMISTRY, PHYSICAL
9 0.0000000060 PHYSICS, CONDENSED MATTER//PHYSICS, APPLIED//MATERIALS SCIENCE, MULTIDISCIPLINARY
10 0.0000000031 MARINE & FRESHWATER BIOLOGY//FISHERIES//ZOOLOGY