Class information for:
Level 1: CONVERGENCE ACCELERATION//MULTIVARIATE PADE APPROXIMANTS//SEQUENCE TRANSFORMATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15853 688 19.4 30%


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
15853 1                   CONVERGENCE ACCELERATION//MULTIVARIATE PADE APPROXIMANTS//SEQUENCE TRANSFORMATIONS 688

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 CONVERGENCE ACCELERATION authKW 775900 9% 28% 63
2 MULTIVARIATE PADE APPROXIMANTS authKW 576959 2% 100% 13
3 SEQUENCE TRANSFORMATIONS authKW 375014 2% 65% 13
4 E ALGORITHM authKW 369842 1% 83% 10
5 VECTOR PADE APPROXIMANT authKW 315600 1% 89% 8
6 VECTOR SEQUENCES authKW 295870 1% 67% 10
7 DESIGNANTS authKW 266289 1% 100% 6
8 LEVIN TRANSFORMATION authKW 266289 1% 100% 6
9 LOGARITHMIC CONVERGENCE authKW 221907 1% 100% 5
10 EPSILON ALGORITHM authKW 185164 2% 38% 11

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 21202 69% 0% 474
2 Mathematics 1784 23% 0% 158
3 Mathematics, Interdisciplinary Applications 161 4% 0% 27
4 Physics, Mathematical 129 5% 0% 31
5 Computer Science, Interdisciplinary Applications 93 4% 0% 26
6 Computer Science, Software Engineering 50 2% 0% 17
7 Computer Science, Theory & Methods 29 2% 0% 17
8 Physics, Atomic, Molecular & Chemical 14 3% 0% 22
9 History & Philosophy of Science 6 0% 0% 3
10 Automation & Control Systems 3 1% 0% 6

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 ANAL NUMER OPTIMISAT 145231 2% 27% 12
2 PAUL PAINLEVEUMR 8524 66569 0% 50% 3
3 UMR MIP 5640 49925 0% 38% 3
4 CADT PL MATH 44381 0% 100% 1
5 MACS MATH PL CALCUL SCI 44381 0% 100% 1
6 MATH ALGORITHM 44381 0% 100% 1
7 PAUL PAINLEVUMR 8524 44381 0% 100% 1
8 PL MATH MATH QUANTUM THEORY GRP 44381 0% 100% 1
9 TAKADDOWN INFORMAT 44381 0% 100% 1
10 UER IEEA ANAL NUMER OPTIMISAT 44381 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 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 70814 18% 1% 127
2 NUMERICAL ALGORITHMS 52610 7% 3% 46
3 APPLIED NUMERICAL MATHEMATICS 37705 7% 2% 50
4 NUMERISCHE MATHEMATIK 14270 5% 1% 31
5 JOURNAL OF APPROXIMATION THEORY 10154 4% 1% 28
6 JOURNAL OF COMPUTATIONAL MATHEMATICS 7450 2% 1% 15
7 MATHEMATICS OF COMPUTATION 6408 3% 1% 24
8 BIT 5785 1% 2% 7
9 LECTURE NOTES IN PURE AND APPLIED MATHEMATICS 4517 1% 1% 7
10 IMA JOURNAL OF NUMERICAL ANALYSIS 3052 1% 1% 10

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 CONVERGENCE ACCELERATION 775900 9% 28% 63 Search CONVERGENCE+ACCELERATION Search CONVERGENCE+ACCELERATION
2 MULTIVARIATE PADE APPROXIMANTS 576959 2% 100% 13 Search MULTIVARIATE+PADE+APPROXIMANTS Search MULTIVARIATE+PADE+APPROXIMANTS
3 SEQUENCE TRANSFORMATIONS 375014 2% 65% 13 Search SEQUENCE+TRANSFORMATIONS Search SEQUENCE+TRANSFORMATIONS
4 E ALGORITHM 369842 1% 83% 10 Search E+ALGORITHM Search E+ALGORITHM
5 VECTOR PADE APPROXIMANT 315600 1% 89% 8 Search VECTOR+PADE+APPROXIMANT Search VECTOR+PADE+APPROXIMANT
6 VECTOR SEQUENCES 295870 1% 67% 10 Search VECTOR+SEQUENCES Search VECTOR+SEQUENCES
7 DESIGNANTS 266289 1% 100% 6 Search DESIGNANTS Search DESIGNANTS
8 LEVIN TRANSFORMATION 266289 1% 100% 6 Search LEVIN+TRANSFORMATION Search LEVIN+TRANSFORMATION
9 LOGARITHMIC CONVERGENCE 221907 1% 100% 5 Search LOGARITHMIC+CONVERGENCE Search LOGARITHMIC+CONVERGENCE
10 EPSILON ALGORITHM 185164 2% 38% 11 Search EPSILON+ALGORITHM Search EPSILON+ALGORITHM

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 BREZINSKI, C , (2000) CONVERGENCE ACCELERATION DURING THE 20TH CENTURY.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 122. ISSUE 1-2. P. 1-21 48 77% 52
2 CUYT, A , (1999) HOW WELL CAN THE CONCEPT OF PADE APPROXIMANT BE GENERALIZED TO THE MULTIVARIATE CASE?.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 105. ISSUE 1-2. P. 25-50 30 91% 20
3 BREZINSKI, C , REDIVO-ZAGLIA, M , (2010) EXTENDED PROCEDURES FOR EXTRAPOLATION TO THE LIMIT.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 235. ISSUE 3. P. 631-645 19 86% 2
4 SIDI, A , (2010) SURVEY OF NUMERICAL STABILITY ISSUES IN CONVERGENCE ACCELERATION.APPLIED NUMERICAL MATHEMATICS. VOL. 60. ISSUE 12. P. 1395-1410 17 94% 4
5 GRAVES-MORRIS, PR , ROBERTS, DE , SALAM, A , (2000) THE EPSILON ALGORITHM AND RELATED TOPICS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 122. ISSUE 1-2. P. 51 -80 23 85% 20
6 HOMEIER, HHH , (2000) SCALAR LEVIN-TYPE SEQUENCE TRANSFORMATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 122. ISSUE 1-2. P. 81 -147 27 69% 34
7 ALLOUCHE, H , EL AGHEB, EM , GHANOU, N , (2012) ADAPTED MULTIVARIATE PADE APPROXIMATION.APPLIED NUMERICAL MATHEMATICS. VOL. 62. ISSUE 9. P. 1061-1076 14 100% 0
8 BREZINSKI, C , REDIVO-ZAGLIA, M , (2010) EXTENSIONS OF DRUMMOND'S PROCESS FOR CONVERGENCE ACCELERATION.APPLIED NUMERICAL MATHEMATICS. VOL. 60. ISSUE 12. P. 1231-1241 14 100% 2
9 ROBERTS, DE , (2002) A VECTOR GENERALISATION OF DE MONTESSUS' THEOREM FOR THE CASE OF POLAR SINGULARITIES ON THE BOUNDARY.JOURNAL OF APPROXIMATION THEORY. VOL. 116. ISSUE 1. P. 141-168 17 100% 0
10 ROY, D , BHATTACHARYA, R , (2005) MULTIVARIATE APPROXIMANTS WITH LEVIN-LIKE TRANSFORMS.COMPUTER PHYSICS COMMUNICATIONS. VOL. 172. ISSUE 1. P. 1 -18 18 86% 0

Classes with closest relation at Level 1


Rank Class id link
1 29966 PEARCEY INTEGRAL//SPATIAL DIVISION TRANSMISSION//TWO RAY GROUND REFLECTION
2 28552 WEEKS METHOD//SLOWLY CONVERGENT SERIES//LAPLACE TRANSFORM INVERSION
3 16438 ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS
4 18858 NIKISHIN SYSTEMS//MEROMORPHIC APPROXIMATION//HERMITE PADE APPROXIMANTS
5 13763 SLATER TYPE ORBITALS//OVERLAP INTEGRALS//MOLECULAR INTEGRALS
6 7987 SPIKED OSCILLATOR//ANHARMONIC OSCILLATOR//JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
7 15602 REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF UNDETERMINED COEFFICIENT//OSCILLATORY INTEGRALS
8 33250 ELLIPTIC TYPE INTEGRALS//RECTANGULAR SOURCE//RADIATION FIELD INTEGRALS
9 4176 GMRES//MULTIPLE RIGHT HAND SIDES//NONSYMMETRIC LINEAR SYSTEMS
10 21638 IDEAL PROJECTOR//KERGIN INTERPOLATION//RADON PROJECTIONS

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