Class information for:
Level 1: HELMHOLTZ EQUATION//WAVE BASED METHOD//ULTRA WEAK VARIATIONAL FORMULATION

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
89 3       MATHEMATICS, APPLIED//LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON NUMERICAL ANALYSIS 80538
574 2             ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//MESHLESS METHOD//BOUNDARY ELEMENT METHOD 14862
14060 1                   HELMHOLTZ EQUATION//WAVE BASED METHOD//ULTRA WEAK VARIATIONAL FORMULATION 826

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HELMHOLTZ EQUATION authKW 1593743 27% 19% 221
2 WAVE BASED METHOD authKW 681316 3% 71% 25
3 ULTRA WEAK VARIATIONAL FORMULATION authKW 648627 2% 100% 17
4 PLANE WAVE BASIS authKW 515077 2% 75% 18
5 HIGH WAVE NUMBER authKW 443971 2% 73% 16
6 HIGH FREQUENCY SCATTERING authKW 424090 2% 65% 17
7 VTCR authKW 419700 1% 100% 11
8 HELMHOLTZ PROBLEM authKW 357980 3% 45% 21
9 LARGE WAVE NUMBER authKW 346857 1% 91% 10
10 DISCONTINUOUS ENRICHMENT METHOD authKW 329759 1% 79% 11

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Interdisciplinary Applications 10811 26% 0% 216
2 Mathematics, Applied 10090 44% 0% 363
3 Engineering, General 6500 22% 0% 179
4 Computer Science, Interdisciplinary Applications 1689 13% 0% 105
5 Mechanics 1617 16% 0% 133
6 Acoustics 1338 8% 0% 65
7 Physics, Mathematical 1189 11% 0% 92
8 Mathematics 355 10% 0% 86
9 Telecommunications 52 3% 0% 23
10 Computer Science, Software Engineering 27 2% 0% 15

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACE TEAM 76309 0% 100% 2
2 DESENO ENXENERIA 76309 0% 100% 2
3 IRC ESTP 76309 0% 100% 2
4 SOLIDS MAT STRUCT 76309 0% 100% 2
5 SYST SIMULAT LSS 50871 0% 67% 2
6 COMPUTAT MATH ENGN 40814 3% 5% 22
7 LMT CACHAN 39297 2% 5% 20
8 BOUNDARY INTEGRAL METHODS 38155 0% 100% 1
9 CNRSFRE 2570 38155 0% 100% 1
10 CNRSINRIAIECN 38155 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF COMPUTATIONAL ACOUSTICS 62652 4% 5% 32
2 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 21812 8% 1% 70
3 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 17601 8% 1% 62
4 JOURNAL OF COMPUTATIONAL PHYSICS 14750 8% 1% 67
5 SIAM JOURNAL ON SCIENTIFIC COMPUTING 8342 3% 1% 28
6 SIAM JOURNAL ON NUMERICAL ANALYSIS 8221 4% 1% 30
7 ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 7193 2% 1% 16
8 APPLIED NUMERICAL MATHEMATICS 7182 3% 1% 24
9 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 7180 1% 3% 6
10 NUMERISCHE MATHEMATIK 5513 3% 1% 21

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HELMHOLTZ EQUATION 1593743 27% 19% 221 Search HELMHOLTZ+EQUATION Search HELMHOLTZ+EQUATION
2 WAVE BASED METHOD 681316 3% 71% 25 Search WAVE+BASED+METHOD Search WAVE+BASED+METHOD
3 ULTRA WEAK VARIATIONAL FORMULATION 648627 2% 100% 17 Search ULTRA+WEAK+VARIATIONAL+FORMULATION Search ULTRA+WEAK+VARIATIONAL+FORMULATION
4 PLANE WAVE BASIS 515077 2% 75% 18 Search PLANE+WAVE+BASIS Search PLANE+WAVE+BASIS
5 HIGH WAVE NUMBER 443971 2% 73% 16 Search HIGH+WAVE+NUMBER Search HIGH+WAVE+NUMBER
6 HIGH FREQUENCY SCATTERING 424090 2% 65% 17 Search HIGH+FREQUENCY+SCATTERING Search HIGH+FREQUENCY+SCATTERING
7 VTCR 419700 1% 100% 11 Search VTCR Search VTCR
8 HELMHOLTZ PROBLEM 357980 3% 45% 21 Search HELMHOLTZ+PROBLEM Search HELMHOLTZ+PROBLEM
9 LARGE WAVE NUMBER 346857 1% 91% 10 Search LARGE+WAVE+NUMBER Search LARGE+WAVE+NUMBER
10 DISCONTINUOUS ENRICHMENT METHOD 329759 1% 79% 11 Search DISCONTINUOUS+ENRICHMENT+METHOD Search DISCONTINUOUS+ENRICHMENT+METHOD

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 8547 ABSORBING BOUNDARY CONDITIONS//NON REFLECTING BOUNDARY CONDITION//ARTIFICIAL BOUNDARY CONDITIONS
2 12004 FAST MULTIPOLE METHOD//HIERARCHICAL MATRICES//DATA SPARSE APPROXIMATION
3 20756 HIGH ORDER SPECTRAL METHODS//BOUNDARY PERTURBATION METHODS//RADIATION CONDITION
4 20943 OSCILLATORY INTEGRALS//PL MATH SOFTWARE//FILON TYPE METHOD
5 7002 DOMAIN DECOMPOSITION//BDDC//FETI DP
6 18923 MECHANICAL QUADRATURE METHOD//RIGID RIBBON//SPLITTING EXTRAPOLATION ALGORITHM
7 9948 STATISTICAL ENERGY ANALYSIS//JOURNAL OF SOUND AND VIBRATION//ACOUSTICS
8 8157 METHOD OF FUNDAMENTAL SOLUTIONS//TREFFTZ METHOD//SINGULAR BOUNDARY METHOD
9 16580 OVERFILLED CAVITY//WEBER SCHAFHEITLIN DISCONTINUOUS INTEGRALS//ELECTROMAGNETIC CAVITY
10 17868 LEAST SQUARES FINITE ELEMENT METHOD//FIRST ORDER SYSTEM LEAST SQUARES//SOBOLEV GRADIENT

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