Class information for:
Level 1: GIBBS PHENOMENON//PROLATE SPHEROIDAL WAVE FUNCTIONS//GEGENBAUER RECONSTRUCTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17336 605 21.6 43%


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
17336 1                   GIBBS PHENOMENON//PROLATE SPHEROIDAL WAVE FUNCTIONS//GEGENBAUER RECONSTRUCTION 605

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 GIBBS PHENOMENON authKW 1301323 10% 44% 59
2 PROLATE SPHEROIDAL WAVE FUNCTIONS authKW 1256514 6% 66% 38
3 GEGENBAUER RECONSTRUCTION authKW 508908 2% 92% 11
4 FOURIER EXTENSION authKW 469760 2% 85% 11
5 FOURIER CONTINUATION authKW 314464 1% 69% 9
6 RUNGE PHENOMENON authKW 265507 2% 48% 11
7 FOURIER DATA authKW 259561 1% 86% 6
8 BARYCENTRIC RATIONAL INTERPOLATION authKW 247301 1% 70% 7
9 BARYCENTRIC FORM authKW 227114 1% 75% 6
10 BARYCENTRIC INTERPOLATION FORMULA authKW 201882 1% 100% 4

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 15100 62% 0% 376
2 Physics, Mathematical 1965 16% 0% 99
3 Mathematics 1058 19% 0% 116
4 Computer Science, Interdisciplinary Applications 761 10% 0% 61
5 Mathematics, Interdisciplinary Applications 56 3% 0% 16
6 Computer Science, Software Engineering 25 2% 0% 12
7 Engineering, General 22 2% 0% 12
8 Computer Science, Theory & Methods 21 2% 0% 14
9 Mechanics 15 3% 0% 17
10 Engineering, Aerospace 5 1% 0% 4

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 ALFRED REYNI 50470 0% 100% 1
2 ARC SPECIAL ULTRA BROADBANC INFORMAT NETW 50470 0% 100% 1
3 AUSSENSTELLE KUNZELSAU 50470 0% 100% 1
4 DEV PARALLEL SCI COMP CDCSP 50470 0% 100% 1
5 DEV SCI PARALLEL COMP 50470 0% 100% 1
6 EGYPTIAN COMMUN CRYPTOG 50470 0% 100% 1
7 HGEBIET NUMER BERECHNUNGVERFAHREN MA INENBAU 50470 0% 100% 1
8 INFOR STAT 50470 0% 100% 1
9 INRIA PROJECT CASTOR 50470 0% 100% 1
10 ISTIL BD LATARJET 50470 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 SCIENTIFIC COMPUTING 50153 6% 3% 38
2 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 48343 5% 3% 29
3 SIAM JOURNAL ON NUMERICAL ANALYSIS 12594 5% 1% 32
4 NUMERICAL ALGORITHMS 12449 3% 1% 21
5 JOURNAL OF COMPUTATIONAL PHYSICS 11268 8% 0% 50
6 ACTA MATHEMATICA HUNGARICA 10647 4% 1% 25
7 MATHEMATICS OF COMPUTATION 9238 4% 1% 27
8 SIAM JOURNAL ON SCIENTIFIC COMPUTING 8384 4% 1% 24
9 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 6068 6% 0% 35
10 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 5911 2% 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 GIBBS PHENOMENON 1301323 10% 44% 59 Search GIBBS+PHENOMENON Search GIBBS+PHENOMENON
2 PROLATE SPHEROIDAL WAVE FUNCTIONS 1256514 6% 66% 38 Search PROLATE+SPHEROIDAL+WAVE+FUNCTIONS Search PROLATE+SPHEROIDAL+WAVE+FUNCTIONS
3 GEGENBAUER RECONSTRUCTION 508908 2% 92% 11 Search GEGENBAUER+RECONSTRUCTION Search GEGENBAUER+RECONSTRUCTION
4 FOURIER EXTENSION 469760 2% 85% 11 Search FOURIER+EXTENSION Search FOURIER+EXTENSION
5 FOURIER CONTINUATION 314464 1% 69% 9 Search FOURIER+CONTINUATION Search FOURIER+CONTINUATION
6 RUNGE PHENOMENON 265507 2% 48% 11 Search RUNGE+PHENOMENON Search RUNGE+PHENOMENON
7 FOURIER DATA 259561 1% 86% 6 Search FOURIER+DATA Search FOURIER+DATA
8 BARYCENTRIC RATIONAL INTERPOLATION 247301 1% 70% 7 Search BARYCENTRIC+RATIONAL+INTERPOLATION Search BARYCENTRIC+RATIONAL+INTERPOLATION
9 BARYCENTRIC FORM 227114 1% 75% 6 Search BARYCENTRIC+FORM Search BARYCENTRIC+FORM
10 BARYCENTRIC INTERPOLATION FORMULA 201882 1% 100% 4 Search BARYCENTRIC+INTERPOLATION+FORMULA Search BARYCENTRIC+INTERPOLATION+FORMULA

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 ADCOCK, B , HANSEN, AC , SHADRIN, A , (2014) A STABILITY BARRIER FOR RECONSTRUCTIONS FROM FOURIER SAMPLES.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 52. ISSUE 1. P. 125 -139 31 91% 2
2 SARRA, SA , (2010) ALGORITHM 899: THE MATLAB POSTPROCESSING TOOLKIT.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 37. ISSUE 1. P. - 31 97% 1
3 GOTTLIEB, S , JUNG, JH , KIM, S , (2011) A REVIEW OF DAVID GOTTLIEB'S WORK ON THE RESOLUTION OF THE GIBBS PHENOMENON.COMMUNICATIONS IN COMPUTATIONAL PHYSICS. VOL. 9. ISSUE 3. P. 497 -519 23 96% 9
4 BOYD, JP , ONG, JR , (2009) EXPONENTIALLY-CONVERGENT STRATEGIES FOR DEFEATING THE RUNGE PHENOMENON FOR THE APPROXIMATION OF NON-PERIODIC FUNCTIONS, PART I: SINGLE-INTERVAL SCHEMES.COMMUNICATIONS IN COMPUTATIONAL PHYSICS. VOL. 5. ISSUE 2-4. P. 484-497 22 96% 23
5 ADCOCK, B , HANSEN, AC , (2012) STABLE RECONSTRUCTIONS IN HILBERT SPACES AND THE RESOLUTION OF THE GIBBS PHENOMENON.APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS. VOL. 32. ISSUE 3. P. 357 -388 28 70% 10
6 BONAMI, A , KAROUI, A , (2017) SPECTRAL DECAY OF TIME AND FREQUENCY LIMITING OPERATOR.APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS. VOL. 42. ISSUE 1. P. 1 -20 11 100% 1
7 BERRUT, JP , KLEIN, G , (2014) RECENT ADVANCES IN LINEAR BARYCENTRIC RATIONAL INTERPOLATION.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 259. ISSUE . P. 95 -107 19 90% 6
8 BATENKOV, D , (2015) COMPLETE ALGEBRAIC RECONSTRUCTION OF PIECEWISE-SMOOTH FUNCTIONS FROM FOURIER DATA.MATHEMATICS OF COMPUTATION. VOL. 84. ISSUE 295. P. 2329 -2350 20 87% 0
9 BOYD, JP , (2009) ACCELERATION OF ALGEBRAICALLY-CONVERGING FOURIER SERIES WHEN THE COEFFICIENTS HAVE SERIES IN POWERS OF 1/N.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 228. ISSUE 5. P. 1404 -1411 25 76% 9
10 BOYD, JP , (2010) THE LEGENDRE-BURGERS EQUATION: WHEN ARTIFICIAL DISSIPATION FAILS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 217. ISSUE 5. P. 1949 -1964 29 63% 0

Classes with closest relation at Level 1


Rank Class id link
1 30853 SURLENS//NONUNIFORM FAST FOURIER TRANSFORM//NFFT
2 9716 SPECTRAL METHODS//SEMI INFINITE INTERVAL//NONHOMOGENEOUS DIRICHLET CONDITIONS
3 15602 REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF UNDETERMINED COEFFICIENT//OSCILLATORY INTEGRALS
4 24288 ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS//QUASIASYMPTOTICS//DISTRIBUTIONAL POINT VALUES
5 21789 THE OPTIMUM INTERPOLATION//BAND LIMITED EXTRAPOLATION//CSINC INTERPOLATION
6 12574 GENERALIZED SAMPLING//AVERAGE SAMPLING//SAMPLING THEOREM
7 22622 CUBATURE//APPROXIMATE FEKETE POINTS//PADUA POINTS
8 13296 FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS
9 29941 PINSKY PHENOMENON//SPHERICAL PARTIAL SUM//FAK 1
10 36125 KNOT ELECTRODYNAMICS//ACCOMPANYING LINEAR FORMS//COPPER MOLYBDENUM COMPOSITE

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