Class information for:
Level 1: FAST MULTIPOLE METHOD//HIERARCHICAL MATRICES//DATA SPARSE APPROXIMATION

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
12004 1                   FAST MULTIPOLE METHOD//HIERARCHICAL MATRICES//DATA SPARSE APPROXIMATION 966

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FAST MULTIPOLE METHOD authKW 1964942 17% 36% 167
2 HIERARCHICAL MATRICES authKW 1019481 5% 63% 50
3 DATA SPARSE APPROXIMATION authKW 440423 2% 75% 18
4 FAST DIRECT SOLVER authKW 319143 2% 65% 15
5 NYSTROM DISCRETIZATION authKW 281965 1% 79% 11
6 BARNES HUT authKW 228372 1% 100% 7
7 HSS MATRIX authKW 195747 1% 100% 6
8 FAST MULTIPOLE authKW 187905 1% 48% 12
9 MATRIX COMPRESSION authKW 184850 2% 33% 17
10 ADAPTIVE CROSS APPROXIMATION authKW 177679 2% 34% 16

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Interdisciplinary Applications 12581 26% 0% 252
2 Engineering, General 8575 23% 0% 222
3 Mathematics, Applied 7439 35% 0% 340
4 Computer Science, Interdisciplinary Applications 3224 16% 0% 155
5 Physics, Mathematical 2775 15% 0% 149
6 Mechanics 717 10% 0% 100
7 Computer Science, Theory & Methods 447 7% 0% 63
8 Acoustics 278 4% 0% 34
9 Computer Science, Software Engineering 115 3% 0% 29
10 Computer Science, Hardware & Architecture 75 2% 0% 18

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 STATE MACHINERY SYST VIBRAT 130498 0% 100% 4
2 LEHRSTUHL PRAKT MATH 58722 0% 60% 3
3 PERCEPTUAL INTER ES REAL 48928 1% 25% 6
4 CAD SUPPORT SOFTWARE ENGN 45305 1% 28% 5
5 MULTIAGENT SYST PLICAT GRP 43498 0% 67% 2
6 ICME 40773 1% 25% 5
7 SIMONS DATA ANAL 33292 1% 15% 7
8 ABT ELEKTRO TECHNOL 32625 0% 100% 1
9 ADV COMPUTAT MECH ARCHITECTU 32625 0% 100% 1
10 ANAL SCI COMP 101 32625 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 84890 9% 3% 89
2 SIAM JOURNAL ON SCIENTIFIC COMPUTING 58462 8% 2% 80
3 JOURNAL OF COMPUTATIONAL PHYSICS 29293 11% 1% 102
4 COMPUTING 15634 3% 2% 30
5 CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 11655 3% 1% 26
6 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 11389 6% 1% 54
7 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 7263 2% 1% 22
8 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 6999 1% 2% 14
9 ADVANCES IN COMPUTATIONAL MATHEMATICS 5654 1% 2% 10
10 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 5266 1% 1% 13

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 FAST MULTIPOLE METHOD 1964942 17% 36% 167 Search FAST+MULTIPOLE+METHOD Search FAST+MULTIPOLE+METHOD
2 HIERARCHICAL MATRICES 1019481 5% 63% 50 Search HIERARCHICAL+MATRICES Search HIERARCHICAL+MATRICES
3 DATA SPARSE APPROXIMATION 440423 2% 75% 18 Search DATA+SPARSE+APPROXIMATION Search DATA+SPARSE+APPROXIMATION
4 FAST DIRECT SOLVER 319143 2% 65% 15 Search FAST+DIRECT+SOLVER Search FAST+DIRECT+SOLVER
5 NYSTROM DISCRETIZATION 281965 1% 79% 11 Search NYSTROM+DISCRETIZATION Search NYSTROM+DISCRETIZATION
6 BARNES HUT 228372 1% 100% 7 Search BARNES+HUT Search BARNES+HUT
7 HSS MATRIX 195747 1% 100% 6 Search HSS+MATRIX Search HSS+MATRIX
8 FAST MULTIPOLE 187905 1% 48% 12 Search FAST+MULTIPOLE Search FAST+MULTIPOLE
9 MATRIX COMPRESSION 184850 2% 33% 17 Search MATRIX+COMPRESSION Search MATRIX+COMPRESSION
10 ADAPTIVE CROSS APPROXIMATION 177679 2% 34% 16 Search ADAPTIVE+CROSS+APPROXIMATION Search ADAPTIVE+CROSS+APPROXIMATION

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 28651 NFFT//SPARSE FOURIER RECONSTRUCTION//NONUNIFORM FAST FOURIER TRANSFORM
2 1492 METHOD OF MOMENTS MOM//ELECTROMAGNETIC SCATTERING//MULTILEVEL FAST MULTIPOLE ALGORITHM MLFMA
3 8763 NEARLY SINGULAR INTEGRALS//BOUNDARY ELEMENT METHOD//ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
4 23084 CAPACITANCE EXTRACTION//FLOATING RANDOM WALK//PATH FUNCTIONAL
5 21023 CONVOLUTION QUADRATURE//TIME DOMAIN BEM//CONVOLUTION QUADRATURE METHOD
6 18923 MECHANICAL QUADRATURE METHOD//RIGID RIBBON//SPLITTING EXTRAPOLATION ALGORITHM
7 26842 LEVERAGE SCORES//RANDOMIZED LINEAR ALGEBRA//STATISTICAL LEVERAGE
8 14060 HELMHOLTZ EQUATION//WAVE BASED METHOD//ULTRA WEAK VARIATIONAL FORMULATION
9 13107 BOUNDARY ELEMENT METHOD//GREEN ELEMENT METHOD//ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
10 25611 STRUCTURAL ACOUSTIC OPTIMIZATION//ACOUSTIC OPTIMIZATION//ACOUSTIC INFLUENCE COEFFICIENTS

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