Class information for:
Level 1: SHEPARD OPERATOR//COMBINED SHEPARD OPERATORS//SHEPARD METHOD

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
32188 142 14.7 34%



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
568 3       COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 16883
1419 2             COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 7983
32188 1                   SHEPARD OPERATOR//COMBINED SHEPARD OPERATORS//SHEPARD METHOD 142

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 SHEPARD OPERATOR authKW 671993 4% 63% 5
2 COMBINED SHEPARD OPERATORS authKW 645117 2% 100% 3
3 SHEPARD METHOD authKW 645117 2% 100% 3
4 SHEPARD TYPE OPERATORS authKW 483836 2% 75% 3
5 INTERPOLATION IN BANACH SPACES authKW 430078 1% 100% 2
6 NORMAL ORTHOMETRIC HEIGHT authKW 430078 1% 100% 2
7 THIESSEN REGIONS authKW 430078 1% 100% 2
8 PEANO KERNEL THEOREM authKW 387068 2% 60% 3
9 SHEPARD OPERATORS authKW 322556 2% 50% 3
10 BERNOULLI OPERATOR authKW 286717 1% 67% 2

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 2608 54% 0% 76
2 Computer Science, Software Engineering 798 18% 0% 25
3 Mathematics 768 32% 0% 46
4 Engineering, Aerospace 290 7% 0% 10
5 Instruments & Instrumentation 16 4% 0% 6
6 Computer Science, Interdisciplinary Applications 9 3% 0% 4
7 Computer Science, Information Systems 5 2% 0% 3
8 Water Resources 4 2% 0% 3
9 Engineering, Electrical & Electronic 3 6% 0% 8
10 Remote Sensing 2 1% 0% 1

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 ELECT RUMENTAC 215039 1% 100% 1
2 HIGHER EXCELLENT HICOE SERV 215039 1% 100% 1
3 SURVEYING GIS GRP 215039 1% 100% 1
4 CATCHMENT MANAGEMENT 107519 1% 50% 1
5 DIPARTIMENTO MATEMAT IST G CASTELNUOVO 107519 1% 50% 1
6 HPC SUPPORT GRP 107519 1% 50% 1
7 SUSTAINABLE TECHNOL ENVIRONM CSTEN 71678 1% 33% 1
8 COGENT COMP PL 35838 1% 17% 1
9 MATH G PEANO 35834 2% 6% 3
10 IST PLICAZ MATEMAT 27743 1% 6% 2

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 89835 15% 2% 22
2 ESA JOURNAL-EUROPEAN SPACE AGENCY 20827 4% 2% 5
3 GEODETSKI LIST 8269 1% 4% 1
4 ACTA MATHEMATICA HUNGARICA 7272 7% 0% 10
5 JOURNAL OF APPROXIMATION THEORY 5093 6% 0% 9
6 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 4132 4% 0% 6
7 CALCOLO 2762 1% 1% 2
8 RESULTS IN MATHEMATICS 2751 2% 0% 3
9 CARPATHIAN JOURNAL OF MATHEMATICS 2618 1% 1% 2
10 PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD 1627 1% 1% 1

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 SHEPARD OPERATOR 671993 4% 63% 5 Search SHEPARD+OPERATOR Search SHEPARD+OPERATOR
2 COMBINED SHEPARD OPERATORS 645117 2% 100% 3 Search COMBINED+SHEPARD+OPERATORS Search COMBINED+SHEPARD+OPERATORS
3 SHEPARD METHOD 645117 2% 100% 3 Search SHEPARD+METHOD Search SHEPARD+METHOD
4 SHEPARD TYPE OPERATORS 483836 2% 75% 3 Search SHEPARD+TYPE+OPERATORS Search SHEPARD+TYPE+OPERATORS
5 INTERPOLATION IN BANACH SPACES 430078 1% 100% 2 Search INTERPOLATION+IN+BANACH+SPACES Search INTERPOLATION+IN+BANACH+SPACES
6 NORMAL ORTHOMETRIC HEIGHT 430078 1% 100% 2 Search NORMAL+ORTHOMETRIC+HEIGHT Search NORMAL+ORTHOMETRIC+HEIGHT
7 THIESSEN REGIONS 430078 1% 100% 2 Search THIESSEN+REGIONS Search THIESSEN+REGIONS
8 PEANO KERNEL THEOREM 387068 2% 60% 3 Search PEANO+KERNEL+THEOREM Search PEANO+KERNEL+THEOREM
9 SHEPARD OPERATORS 322556 2% 50% 3 Search SHEPARD+OPERATORS Search SHEPARD+OPERATORS
10 BERNOULLI OPERATOR 286717 1% 67% 2 Search BERNOULLI+OPERATOR Search BERNOULLI+OPERATOR

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 COSTABILE, FA , DELL'ACCIO, F , DI TOMMASO, F , (2013) COMPLEMENTARY LIDSTONE INTERPOLATION ON SCATTERED DATA SETS.NUMERICAL ALGORITHMS. VOL. 64. ISSUE 1. P. 157 -180 12 80% 5
2 YU, DS , ZHOU, SP , (2009) APPROXIMATION BY RATIONAL OPERATORS IN L-P SPACES.MATHEMATISCHE NACHRICHTEN. VOL. 282. ISSUE 11. P. 1600-1618 9 100% 1
3 YU, DS , (2012) ON WEIGHTED APPROXIMATION BY RATIONAL OPERATORS FOR FUNCTIONS WITH SINGULARITIES.ACTA MATHEMATICA HUNGARICA. VOL. 136. ISSUE 1-2. P. 56-75 8 100% 0
4 COSTABILE, FA , DELL'ACCIO, F , DI TOMMASO, F , (2012) ENHANCING THE APPROXIMATION ORDER OF LOCAL SHEPARD OPERATORS BY HERMITE POLYNOMIALS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 64. ISSUE 11. P. 3641-3655 9 75% 6
5 CAIRA, R , DELL'ACCIO, F , (2006) SHEPARD-BERNOULLI OPERATORS.MATHEMATICS OF COMPUTATION. VOL. 76. ISSUE 257. P. 299 -321 8 100% 5
6 DELL'ACCIO, F , DI TOMMASO, F , HORMANN, K , (2016) ON THE APPROXIMATION ORDER OF TRIANGULAR SHEPARD INTERPOLATION.IMA JOURNAL OF NUMERICAL ANALYSIS. VOL. 36. ISSUE 1. P. 359 -379 7 70% 1
7 CAIRA, R , DELL'ACCIO, F , DI TOMMASO, F , (2012) ON THE BIVARIATE SHEPARD-LIDSTONE OPERATORS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 236. ISSUE 7. P. 1691 -1707 8 67% 6
8 CATINAS, T , (2016) AN ITERATIVE MODIFICATION OF SHEPARD-BERNOULLI OPERATOR.RESULTS IN MATHEMATICS. VOL. 69. ISSUE 3-4. P. 387 -395 6 75% 0
9 COSTABILE, FA , DELL'ACCIO, F , GUZZARDI, L , (2008) NEW BIVARIATE POLYNOMIAL EXPANSION WITH BOUNDARY DATA ON THE SIMPLEX.CALCOLO. VOL. 45. ISSUE 3. P. 177 -192 6 86% 3
10 RENKA, RJ , BROWN, R , (1999) ALGORITHM 792: ACCURACY TESTS OF ACM ALGORITHMS FOR INTERPOLATION OF SCATTERED DATA IN THE PLANE.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 25. ISSUE 1. P. 78-94 8 80% 33

Classes with closest relation at Level 1



Rank Class id link
1 15840 BIVARIATE SPLINES//TRIVARIATE SPLINES//DISCRETE QUASI INTERPOLANTS
2 36734 NON TANGENTIAL QUADRILATERAL//STOKIS//CROPOS
3 17000 NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS
4 7274 Q INTEGERS//MODULUS OF CONTINUITY//POSITIVE LINEAR OPERATORS
5 13296 FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS
6 37702 GENERAL DYNAMIC SYSTEMS//HYPERSURFACE SPLINES//LARGE MAGNITUDE SEISMIC EVENTS
7 2981 METHOD OF FUNDAMENTAL SOLUTIONS//RADIAL BASIS FUNCTIONS//ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
8 36311 CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY
9 31520 CAUSAL IMAGES//MARITIME ZONES AND BOUNDARIES//TERRITORIAL SEA BASELINES
10 21638 IDEAL PROJECTOR//KERGIN INTERPOLATION//RADON PROJECTIONS

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