Class information for:
Level 1: FAST MULTIPOLE METHOD//HIERARCHICAL MATRICES//SPECIAL PURPOSE COMPUTER

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8552 1242 26.1 56%


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
16 4 ENGINEERING, CIVIL//CONSTRUCTION & BUILDING TECHNOLOGY//MECHANICS 627508
437 3       ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//ELECTRICAL IMPEDANCE TOMOGRAPHY//INVERSE PROBLEMS 26987
1289 2             ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//BOUNDARY ELEMENT METHOD//METHOD OF FUNDAMENTAL SOLUTIONS 8679
8552 1                   FAST MULTIPOLE METHOD//HIERARCHICAL MATRICES//SPECIAL PURPOSE COMPUTER 1242

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 FAST MULTIPOLE METHOD authKW 2078981 16% 44% 194
2 HIERARCHICAL MATRICES authKW 819747 4% 65% 51
3 SPECIAL PURPOSE COMPUTER authKW 374737 2% 61% 25
4 DATA SPARSE APPROXIMATION authKW 331875 1% 75% 18
5 NYSTROM DISCRETIZATION authKW 175594 1% 71% 10
6 BARNES HUT authKW 172088 1% 100% 7
7 FAST DIRECT SOLVER authKW 156552 1% 58% 11
8 HSS MATRIX authKW 147504 0% 100% 6
9 N BODY SIMULATION authKW 143014 1% 36% 16
10 MATRIX COMPRESSION authKW 131093 1% 33% 16

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, Interdisciplinary Applications 8346 19% 0% 234
2 Engineering, General 5858 17% 0% 209
3 Computer Science, Interdisciplinary Applications 5335 18% 0% 224
4 Mathematics, Applied 4805 25% 0% 315
5 Physics, Mathematical 4234 17% 0% 208
6 Computer Science, Theory & Methods 952 8% 0% 102
7 Astronomy & Astrophysics 642 11% 0% 133
8 Mechanics 408 7% 0% 90
9 Computer Science, Software Engineering 242 4% 0% 46
10 Computer Science, Hardware & Architecture 177 2% 0% 30

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 STATE MACHINERY SYST VIBRAT 98336 0% 100% 4
2 THEORY ELECT ENGN 72869 1% 23% 13
3 PERCEPTUAL INTER ES REAL 36867 0% 25% 6
4 CAD SUPPORT SOFTWARE ENGN 36146 0% 29% 5
5 MULTIAGENT SYST PLICAT GRP 32777 0% 67% 2
6 ABT ELEKTRO TECHNOL 24584 0% 100% 1
7 ADV COMPUTAT MECH ARCHITECTU 24584 0% 100% 1
8 ANAL SCI COMP 101 24584 0% 100% 1
9 ARTS SCI EARTH SCI ASTRON 24584 0% 100% 1
10 ASTRON OBSERV COMPUTAT ASTROPHYS 24584 0% 100% 1

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 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 62716 7% 3% 87
2 SIAM JOURNAL ON SCIENTIFIC COMPUTING 32836 5% 2% 68
3 JOURNAL OF COMPUTATIONAL PHYSICS 30605 10% 1% 118
4 COMPUTING 11179 2% 2% 29
5 NEW ASTRONOMY 9592 2% 2% 24
6 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 8366 4% 1% 53
7 PUBLICATIONS OF THE ASTRONOMICAL SOCIETY OF JAPAN 7010 3% 1% 33
8 COMPUTER PHYSICS COMMUNICATIONS 5790 3% 1% 42
9 CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 5713 2% 1% 21
10 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 5426 1% 1% 15

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 FAST MULTIPOLE METHOD 2078981 16% 44% 194 Search FAST+MULTIPOLE+METHOD Search FAST+MULTIPOLE+METHOD
2 HIERARCHICAL MATRICES 819747 4% 65% 51 Search HIERARCHICAL+MATRICES Search HIERARCHICAL+MATRICES
3 SPECIAL PURPOSE COMPUTER 374737 2% 61% 25 Search SPECIAL+PURPOSE+COMPUTER Search SPECIAL+PURPOSE+COMPUTER
4 DATA SPARSE APPROXIMATION 331875 1% 75% 18 Search DATA+SPARSE+APPROXIMATION Search DATA+SPARSE+APPROXIMATION
5 NYSTROM DISCRETIZATION 175594 1% 71% 10 Search NYSTROM+DISCRETIZATION Search NYSTROM+DISCRETIZATION
6 BARNES HUT 172088 1% 100% 7 Search BARNES+HUT Search BARNES+HUT
7 FAST DIRECT SOLVER 156552 1% 58% 11 Search FAST+DIRECT+SOLVER Search FAST+DIRECT+SOLVER
8 HSS MATRIX 147504 0% 100% 6 Search HSS+MATRIX Search HSS+MATRIX
9 N BODY SIMULATION 143014 1% 36% 16 Search N+BODY+SIMULATION Search N+BODY+SIMULATION
10 MATRIX COMPRESSION 131093 1% 33% 16 Search MATRIX+COMPRESSION Search MATRIX+COMPRESSION

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 FAUSTMANN, M , MELENK, JM , PRAETORIUS, D , (2015) EXISTENCE OF H-MATRIX APPROXIMANTS TO THE INVERSES OF BEM MATRICES: THE SIMPLE-LAYER OPERATOR.MATHEMATICS OF COMPUTATION. VOL. 85. ISSUE 297. P. 119 -152 31 86% 0
2 CORONA, E , MARTINSSON, PG , ZORIN, D , (2015) AN O(N) DIRECT SOLVER FOR INTEGRAL EQUATIONS ON THE PLANE.APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS. VOL. 38. ISSUE 2. P. 284 -317 21 84% 10
3 HO, KL , YING, LX , (2016) HIERARCHICAL INTERPOLATIVE FACTORIZATION FOR ELLIPTIC OPERATORS: DIFFERENTIAL EQUATIONS.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. VOL. 69. ISSUE 8. P. 1415 -1451 24 73% 2
4 MAKINO, J , FUKUSHIGE, T , KOGA, M , NAMURA, K , (2003) GRAPE-6: MASSIVELY-PARALLEL SPECIAL-PURPOSE COMPUTER FOR ASTROPHYSICAL PARTICLE SIMULATIONS.PUBLICATIONS OF THE ASTRONOMICAL SOCIETY OF JAPAN. VOL. 55. ISSUE 6. P. 1163 -1187 25 89% 124
5 HO, KL , YING, LX , (2016) HIERARCHICAL INTERPOLATIVE FACTORIZATION FOR ELLIPTIC OPERATORS: INTEGRAL EQUATIONS.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. VOL. 69. ISSUE 7. P. 1314 -1353 27 69% 0
6 BEBENDORF, M , KUSKE, C , VENN, R , (2015) WIDEBAND NESTED CROSS APPROXIMATION FOR HELMHOLTZ PROBLEMS.NUMERISCHE MATHEMATIK. VOL. 130. ISSUE 1. P. 1 -34 23 77% 2
7 BEBENDORF, M , VENN, R , (2012) CONSTRUCTING NESTED BASES APPROXIMATIONS FROM THE ENTRIES OF NON-LOCAL OPERATORS.NUMERISCHE MATHEMATIK. VOL. 121. ISSUE 4. P. 609 -635 22 81% 8
8 EPSTEIN, CL , O'NEIL, M , (2016) SMOOTHED CORNERS AND SCATTERED WAVES.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 38. ISSUE 5. P. A2665 -A2698 25 68% 0
9 GUMEROV, NA , DURAISWAMI, R , (2014) A METHOD TO COMPUTE PERIODIC SUMS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 272. ISSUE . P. 307-326 23 74% 3
10 BAPAT, MS , LIU, YJ , (2010) A NEW ADAPTIVE ALGORITHM FOR THE FAST MULTIPOLE BOUNDARY ELEMENT METHOD.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. VOL. 58. ISSUE 2. P. 161-183 22 81% 23

Classes with closest relation at Level 1


Rank Class id link
1 1761 METHOD OF MOMENTS MOM//ELECTROMAGNETIC SCATTERING//MULTILEVEL FAST MULTIPOLE ALGORITHM MLFMA
2 30853 SURLENS//NONUNIFORM FAST FOURIER TRANSFORM//NFFT
3 24535 SEMISEPARABLE MATRICES//QUASISEPARABLE MATRICES//QR ITERATION
4 22989 CAPACITANCE EXTRACTION//FLOATING RANDOM WALK//PATH FUNCTIONAL
5 13863 EWALD SUMMATION//EWALD SUM//EWALD METHOD
6 18044 MECHANICAL QUADRATURE METHOD//SPLITTING EXTRAPOLATION//HEAT POTENTIALS
7 5396 NEARLY SINGULAR INTEGRALS//BOUNDARY ELEMENT METHOD//ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
8 14155 VORTEX METHOD//VORTEX IN CELL//FLUID IMPULSE
9 13734 FESTKORPERMECH//STRUCTURAL ACOUSTIC OPTIMIZATION//HELMHOLTZ INTEGRAL EQUATION
10 22502 MULTIPLE TIME STEP//SHAKE//SYMPLECTIC INTEGRATION METHODS

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