Class information for:
Level 1: CUBATURE//APPROXIMATE FEKETE POINTS//PADUA POINTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22622 374 18.7 37%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
1193 2             ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 9261
22622 1                   CUBATURE//APPROXIMATE FEKETE POINTS//PADUA POINTS 374

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 CUBATURE authKW 1048637 9% 38% 34
2 APPROXIMATE FEKETE POINTS authKW 898091 3% 100% 11
3 PADUA POINTS authKW 653157 2% 100% 8
4 LEBESGUE CONSTANT authKW 572257 7% 26% 27
5 ALGEBRAIC CUBATURE authKW 571512 2% 100% 7
6 EULER MACLAURIN EXPANSIONS authKW 551097 2% 75% 9
7 AUTOMATIC INTEGRATION authKW 435432 2% 67% 8
8 WEAKLY ADMISSIBLE MESHES authKW 419885 2% 86% 6
9 SINM TRANSFORMATION authKW 408223 1% 100% 5
10 FEKETE POINTS authKW 372129 4% 33% 14

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, Applied 8574 60% 0% 223
2 Computer Science, Software Engineering 867 11% 0% 43
3 Mathematics, Interdisciplinary Applications 365 7% 0% 28
4 Engineering, General 320 7% 0% 28
5 Computer Science, Theory & Methods 314 9% 0% 32
6 Mathematics 291 13% 0% 50
7 Computer Science, Interdisciplinary Applications 175 6% 0% 24
8 Physics, Mathematical 105 5% 0% 20
9 Mechanics 27 4% 0% 15
10 Statistics & Probability 22 2% 0% 9

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 DAEIMI LAN 81645 0% 100% 1
2 EXPLORATORY SIMULAT TECHNOL MS318 81645 0% 100% 1
3 HBEREICH BZW 10 6 81645 0% 100% 1
4 MS COMP COMPUTAT SCI D413 81645 0% 100% 1
5 MS318 EXPLORATORY SIMULAT TECHNOL 81645 0% 100% 1
6 SIGNIFICANT OPPORTUN ATMOSPHER SCI 81645 0% 100% 1
7 SOFTWARE SYST ILNTEGRAT 81645 0% 100% 1
8 PURE PL MATH 54753 7% 2% 27
9 ARBEITSGRP INGENIEURMATH 40821 0% 50% 1
10 INGN MATH FB 10 40821 0% 50% 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 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 40564 6% 2% 24
2 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 17059 12% 0% 46
3 BIT NUMERICAL MATHEMATICS 7877 3% 1% 12
4 NUMERICAL ALGORITHMS 7717 3% 1% 13
5 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 7029 2% 1% 7
6 BIT 5433 1% 1% 5
7 NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 5135 1% 2% 4
8 SIAM JOURNAL ON NUMERICAL ANALYSIS 4469 4% 0% 15
9 COMPUTING 3576 2% 0% 9
10 JOURNAL OF APPROXIMATION THEORY 3426 3% 0% 12

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 CUBATURE 1048637 9% 38% 34 Search CUBATURE Search CUBATURE
2 APPROXIMATE FEKETE POINTS 898091 3% 100% 11 Search APPROXIMATE+FEKETE+POINTS Search APPROXIMATE+FEKETE+POINTS
3 PADUA POINTS 653157 2% 100% 8 Search PADUA+POINTS Search PADUA+POINTS
4 LEBESGUE CONSTANT 572257 7% 26% 27 Search LEBESGUE+CONSTANT Search LEBESGUE+CONSTANT
5 ALGEBRAIC CUBATURE 571512 2% 100% 7 Search ALGEBRAIC+CUBATURE Search ALGEBRAIC+CUBATURE
6 EULER MACLAURIN EXPANSIONS 551097 2% 75% 9 Search EULER+MACLAURIN+EXPANSIONS Search EULER+MACLAURIN+EXPANSIONS
7 AUTOMATIC INTEGRATION 435432 2% 67% 8 Search AUTOMATIC+INTEGRATION Search AUTOMATIC+INTEGRATION
8 WEAKLY ADMISSIBLE MESHES 419885 2% 86% 6 Search WEAKLY+ADMISSIBLE+MESHES Search WEAKLY+ADMISSIBLE+MESHES
9 SINM TRANSFORMATION 408223 1% 100% 5 Search SINM+TRANSFORMATION Search SINM+TRANSFORMATION
10 FEKETE POINTS 372129 4% 33% 14 Search FEKETE+POINTS Search FEKETE+POINTS

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 SOMMARIVA, A , VIANELLO, M , (2015) POLYNOMIAL FITTING AND INTERPOLATION ON CIRCULAR SECTIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 258. ISSUE . P. 410 -424 19 83% 1
2 SOMMARIVA, A , VIANELLO, M , (2015) COMPRESSION OF MULTIVARIATE DISCRETE MEASURES AND APPLICATIONS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 36. ISSUE 9. P. 1198 -1223 19 83% 1
3 BRIANI, M , SOMMARIVA, A , VIANELLO, M , (2012) COMPUTING FEKETE AND LEBESGUE POINTS: SIMPLEX, SQUARE, DISK.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 236. ISSUE 9. P. 2477-2486 19 86% 8
4 WITHERDEN, FD , VINCENT, PE , (2015) ON THE IDENTIFICATION OF SYMMETRIC QUADRATURE RULES FOR FINITE ELEMENT METHODS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 69. ISSUE 10. P. 1232 -1241 14 93% 9
5 PAPANICOLOPULOS, SA , (2016) EFFICIENT COMPUTATION OF CUBATURE RULES WITH APPLICATION TO NEW ASYMMETRIC RULES ON THE TRIANGLE.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 304. ISSUE . P. 73 -83 14 100% 0
6 HELENBROOK, BT , (2009) ON THE EXISTENCE OF EXPLICIT HP-FINITE ELEMENT METHODS USING GAUSS-LOBATTO INTEGRATION ON THE TRIANGLE.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 47. ISSUE 2. P. 1304-1318 17 81% 8
7 BITTANTE, C , DE MARCHI, S , ELEFANTE, G , (2016) A NEW QUASI-MONTE CARLO TECHNIQUE BASED ON NONNEGATIVE LEAST SQUARES AND APPROXIMATE FEKETE POINTS.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS. VOL. 9. ISSUE 4. P. 640 -663 14 82% 0
8 FESTA, M , SOMMARIVA, A , (2012) COMPUTING ALMOST MINIMAL FORMULAS ON THE SQUARE.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 236. ISSUE 17. P. 4296-4302 13 93% 2
9 COOLS, R , (2003) EXTRAPOLATION AND ADAPTIVITY IN SOFTWARE FOR AUTOMATIC NUMERICAL INTEGRATION ON A CUBE.NUMERICAL ALGORITHMS. VOL. 34. ISSUE 2-4. P. 259-269 15 100% 4
10 COOLS, R , RABINOWITZ, P , (1993) MONOMIAL CUBATURE RULES SINCE STROUD - A COMPILATION.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 48. ISSUE 3. P. 309-326 19 95% 108

Classes with closest relation at Level 1


Rank Class id link
1 14984 GEOMATH GRP//SPHERICAL DESIGNS//EUCLIDEAN DESIGN
2 21638 IDEAL PROJECTOR//KERGIN INTERPOLATION//RADON PROJECTIONS
3 30030 KAUNAS PUBL SECUR//AXISYMMETRIC QUADRILATERAL FINITE ELEMENTS//C 2 ELEMENTS
4 15602 REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF UNDETERMINED COEFFICIENT//OSCILLATORY INTEGRALS
5 37318 REATO PESQUISA//REATOR PESQUISA CRPQ//BIOCHEMISTRY ANALYSES
6 14786 PLURISUBHARMONIC FUNCTION//COMPLEX MONGE AMPERE OPERATOR//PLURICOMPLEX GREEN FUNCTION
7 36324 NATURAL SPECTRUM//F M RIESZ THEOREM//SPECTRUM OF MEASURE
8 5672 DISCONTINUOUS GALERKIN METHOD//DISCONTINUOUS GALERKIN//LOCAL DISCONTINUOUS GALERKIN METHOD
9 32188 SHEPARD OPERATOR//COMBINED SHEPARD OPERATORS//SHEPARD METHOD
10 9716 SPECTRAL METHODS//SEMI INFINITE INTERVAL//NONHOMOGENEOUS DIRICHLET CONDITIONS

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