Class information for:
Level 1: TRAPPED MODES//EFFECTIVE OPERATOR//OPERATOR ERROR ESTIMATES

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
1402 2             HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS 8284
9493 1                   TRAPPED MODES//EFFECTIVE OPERATOR//OPERATOR ERROR ESTIMATES 1182

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TRAPPED MODES authKW 867199 5% 59% 55
2 EFFECTIVE OPERATOR authKW 489916 2% 88% 21
3 OPERATOR ERROR ESTIMATES authKW 479923 2% 100% 18
4 PERIODIC DIFFERENTIAL OPERATORS authKW 428077 1% 94% 17
5 QUANTUM WAVEGUIDE authKW 333836 2% 52% 24
6 CONCENTRATED MASSES authKW 273011 1% 64% 16
7 MECH ENGN PROBLEMS address 203307 3% 25% 31
8 AUGMENTED SCATTERING MATRIX authKW 186637 1% 100% 7
9 MATH MODELLING WAVE PHENOMENA address 162494 1% 38% 16
10 VO address 144845 2% 23% 24

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 7740 33% 0% 385
2 Mathematics 7307 35% 0% 409
3 Mechanics 4140 21% 0% 250
4 Physics, Mathematical 2647 14% 0% 162
5 Physics, Fluids & Plasmas 844 7% 0% 83
6 Physics, Multidisciplinary 300 9% 0% 105
7 Engineering, Ocean 280 1% 0% 16
8 Acoustics 278 3% 0% 38
9 Multidisciplinary Sciences 92 2% 0% 21
10 Mathematics, Interdisciplinary Applications 75 2% 0% 27

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MECH ENGN PROBLEMS 203307 3% 25% 31
2 MATH MODELLING WAVE PHENOMENA 162494 1% 38% 16
3 VO 144845 2% 23% 24
4 DOPPLER 113708 2% 19% 23
5 PROBLEMS MECH ENGN 97072 5% 6% 65
6 ATOM MOL ENGN 95980 1% 60% 6
7 ANAL DYNAM MODELING 87090 1% 47% 7
8 MATH METHODS MECH MAT 71097 0% 67% 4
9 MATEMAT LICADA CIENCIAS COMPUTAC 68229 1% 16% 16
10 CAMGSD MATEMAT 59989 0% 75% 3

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ST PETERSBURG MATHEMATICAL JOURNAL 64605 3% 7% 33
2 QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS 27944 3% 3% 35
3 RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS 15695 2% 3% 22
4 SBORNIK MATHEMATICS 11270 2% 2% 26
5 COMPTES RENDUS MECANIQUE 10150 2% 2% 24
6 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 9468 2% 1% 25
7 DOKLADY MATHEMATICS 8566 3% 1% 32
8 RUSSIAN MATHEMATICAL SURVEYS 8387 2% 1% 28
9 JOURNAL OF FLUID MECHANICS 6648 5% 0% 63
10 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 6038 2% 1% 21

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 TRAPPED MODES 867199 5% 59% 55 Search TRAPPED+MODES Search TRAPPED+MODES
2 EFFECTIVE OPERATOR 489916 2% 88% 21 Search EFFECTIVE+OPERATOR Search EFFECTIVE+OPERATOR
3 OPERATOR ERROR ESTIMATES 479923 2% 100% 18 Search OPERATOR+ERROR+ESTIMATES Search OPERATOR+ERROR+ESTIMATES
4 PERIODIC DIFFERENTIAL OPERATORS 428077 1% 94% 17 Search PERIODIC+DIFFERENTIAL+OPERATORS Search PERIODIC+DIFFERENTIAL+OPERATORS
5 QUANTUM WAVEGUIDE 333836 2% 52% 24 Search QUANTUM+WAVEGUIDE Search QUANTUM+WAVEGUIDE
6 CONCENTRATED MASSES 273011 1% 64% 16 Search CONCENTRATED+MASSES Search CONCENTRATED+MASSES
7 AUGMENTED SCATTERING MATRIX 186637 1% 100% 7 Search AUGMENTED+SCATTERING+MATRIX Search AUGMENTED+SCATTERING+MATRIX
8 LINEAR WATER WAVE PROBLEM 133312 0% 100% 5 Search LINEAR+WATER+WAVE+PROBLEM Search LINEAR+WATER+WAVE+PROBLEM
9 DIRICHLET LAPLACIAN 108318 1% 25% 16 Search DIRICHLET+LAPLACIAN Search DIRICHLET+LAPLACIAN
10 PERIODIC ACOUSTIC MEDIA 85318 0% 80% 4 Search PERIODIC+ACOUSTIC+MEDIA Search PERIODIC+ACOUSTIC+MEDIA

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 30065 WEDGE WAVES//LASER ULTRASOUND TECHNIQUE//ACOUSTIC BLACK HOLE
2 19301 CONTROL IN COEFFICIENTS//VARYING DOMAINS//LAVRENTIEFF PHENOMENON
3 21182 GEOMETRIC MOMENTUM//GEOMETRIC POTENTIAL//SADOWSKY FUNCTIONAL
4 7700 POINT INTERACTIONS//QUANTUM GRAPHS//SELF ADJOINT EXTENSION
5 27411 BETHE SOMMERFELD CONJECTURE//MAGNITOGORSK STATE PEDAG//REGULARIZED TRACE
6 5502 TWO SCALE CONVERGENCE//HOMOGENIZATION//PERFORATED DOMAINS
7 23355 BOUND STATES IN THE CONTINUUM//BOUND STATE IN THE CONTINUUM//NON HERMITIAN HAMILTON OPERATOR
8 20756 HIGH ORDER SPECTRAL METHODS//BOUNDARY PERTURBATION METHODS//RADIATION CONDITION
9 9125 NUMERICAL WAVE TANK//HIGHER ORDER BOUNDARY ELEMENT METHOD//ENGINEERING, MARINE
10 18707 FLUID RIGID BODY INTERACTION//GENERAL OUTFLOW CONDITION//HASEGAWA WAKATANI EQUATIONS

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