Class information for:
Level 1: CAUCHY PRINCIPAL VALUE INTEGRALS//CAUCHY SINGULAR INTEGRAL EQUATION//FINITE PART INTEGRAL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13996 800 18.0 31%


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
13996 1                   CAUCHY PRINCIPAL VALUE INTEGRALS//CAUCHY SINGULAR INTEGRAL EQUATION//FINITE PART INTEGRAL 800

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 CAUCHY PRINCIPAL VALUE INTEGRALS authKW 764246 4% 69% 29
2 CAUCHY SINGULAR INTEGRAL EQUATION authKW 408524 2% 63% 17
3 FINITE PART INTEGRAL authKW 374022 3% 47% 21
4 HADAMARD FINITE PART INTEGRALS authKW 237809 1% 69% 9
5 APPROXIMATING SPLINES authKW 229007 1% 100% 6
6 HYPERSINGULAR INTEGRALS authKW 201657 3% 22% 24
7 MINIMAX SERIES authKW 190839 1% 100% 5
8 CAUCHY KERNEL authKW 182698 2% 32% 15
9 CAUCHY TYPE SINGULAR INTEGRAL EQUATION authKW 152671 1% 100% 4
10 NON LINEAR MULTIDIMENSIONAL SINGULAR INTEGRAL EQUATIONS authKW 152671 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 17560 58% 0% 467
2 Mathematics 1557 20% 0% 161
3 Mechanics 721 11% 0% 90
4 Engineering, General 546 7% 0% 54
5 Mathematics, Interdisciplinary Applications 361 5% 0% 42
6 Computer Science, Interdisciplinary Applications 176 5% 0% 37
7 Computer Science, Software Engineering 161 4% 0% 30
8 Computer Science, Theory & Methods 56 3% 0% 24
9 Physics, Mathematical 48 3% 0% 23
10 Engineering, Aerospace 21 1% 0% 8

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 DIP ME MO MAT 42935 0% 38% 3
2 COMPLESSO MONTE SANTANGELO 38168 0% 100% 1
3 E U P LINA 38168 0% 100% 1
4 EMY MATH SYST SCI 38168 0% 100% 1
5 MAT NAT FAK 38168 0% 100% 1
6 TEAM MAG 3DUMR 5142 38168 0% 100% 1
7 UTICA MATH 38168 0% 100% 1
8 INFORMAT SYST MATH SCI 22896 0% 20% 3
9 ELEKTROGORSK ENGN 19083 0% 50% 1
10 ULA ALI KOCMAN VOCAT OLL 19083 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 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 36197 12% 1% 98
2 JOURNAL OF INTEGRAL EQUATIONS 10320 1% 5% 6
3 MATHEMATICS OF COMPUTATION 9806 4% 1% 32
4 JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS 8582 0% 8% 3
5 COMPUTING 7451 2% 1% 19
6 DIFFERENTIAL EQUATIONS 7420 3% 1% 27
7 IMA JOURNAL OF NUMERICAL ANALYSIS 5913 2% 1% 15
8 BIT NUMERICAL MATHEMATICS 5742 2% 1% 15
9 NUMERISCHE MATHEMATIK 5614 3% 1% 21
10 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 5053 3% 1% 23

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 CAUCHY PRINCIPAL VALUE INTEGRALS 764246 4% 69% 29 Search CAUCHY+PRINCIPAL+VALUE+INTEGRALS Search CAUCHY+PRINCIPAL+VALUE+INTEGRALS
2 CAUCHY SINGULAR INTEGRAL EQUATION 408524 2% 63% 17 Search CAUCHY+SINGULAR+INTEGRAL+EQUATION Search CAUCHY+SINGULAR+INTEGRAL+EQUATION
3 FINITE PART INTEGRAL 374022 3% 47% 21 Search FINITE+PART+INTEGRAL Search FINITE+PART+INTEGRAL
4 HADAMARD FINITE PART INTEGRALS 237809 1% 69% 9 Search HADAMARD+FINITE+PART+INTEGRALS Search HADAMARD+FINITE+PART+INTEGRALS
5 APPROXIMATING SPLINES 229007 1% 100% 6 Search APPROXIMATING+SPLINES Search APPROXIMATING+SPLINES
6 HYPERSINGULAR INTEGRALS 201657 3% 22% 24 Search HYPERSINGULAR+INTEGRALS Search HYPERSINGULAR+INTEGRALS
7 MINIMAX SERIES 190839 1% 100% 5 Search MINIMAX+SERIES Search MINIMAX+SERIES
8 CAUCHY KERNEL 182698 2% 32% 15 Search CAUCHY+KERNEL Search CAUCHY+KERNEL
9 CAUCHY TYPE SINGULAR INTEGRAL EQUATION 152671 1% 100% 4 Search CAUCHY+TYPE+SINGULAR+INTEGRAL+EQUATION Search CAUCHY+TYPE+SINGULAR+INTEGRAL+EQUATION
10 NON LINEAR MULTIDIMENSIONAL SINGULAR INTEGRAL EQUATIONS 152671 1% 100% 4 Search NON+LINEAR+MULTIDIMENSIONAL+SINGULAR+INTEGRAL+EQUATIONS Search NON+LINEAR+MULTIDIMENSIONAL+SINGULAR+INTEGRAL+EQUATIONS

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 LI, J , YU, DH , (2014) COLLOCATION METHODS TO SOLVE CERTAIN HILBERT INTEGRAL EQUATION WITH MIDDLE RECTANGLE RULE.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. VOL. 102. ISSUE 2. P. 103 -126 24 89% 0
2 LI, J , RUI, HX , YU, DH , (2016) TRAPEZOIDAL RULE FOR COMPUTING SUPERSINGULAR INTEGRAL ON A CIRCLE.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 66. ISSUE 2. P. 740 -760 23 88% 0
3 LI, J , YANG, JE , YU, DH , (2014) ERROR EXPANSION OF CLASSICAL MID-POINT RECTANGLE RULE FOR COMPUTING CAUCHY PRINCIPAL VALUE INTEGRALS ON AN INTERVAL.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 91. ISSUE 10. P. 2294 -2306 21 100% 0
4 LIU, DJ , WU, JM , YU, DH , (2010) THE SUPERCONVERGENCE OF THE NEWTON-COTES RULE FOR CAUCHY PRINCIPAL VALUE INTEGRALS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 235. ISSUE 3. P. 696-707 22 100% 8
5 LI, J , ZHAO, QL , HUANG, HY , (2016) ERROR EXPANSION OF PIECEWISE CONSTANT INTERPOLATION RULE FOR CERTAIN TWO-DIMENSIONAL CAUCHY PRINCIPAL VALUE INTEGRALS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 72. ISSUE 9. P. 2119 -2142 20 95% 0
6 LI, J , (2015) THE TRAPEZOIDAL RULE FOR COMPUTING CAUCHY PRINCIPAL VALUE INTEGRAL ON CIRCLE.MATHEMATICAL PROBLEMS IN ENGINEERING. VOL. . ISSUE . P. - 19 100% 0
7 LI, J , YU, DH , (2013) ERROR EXPANSION OF CLASSICAL TRAPEZOIDAL RULE FOR COMPUTING CAUCHY PRINCIPAL VALUE INTEGRAL.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. VOL. 93. ISSUE 1. P. 47-67 21 91% 0
8 LIU, DJ , ZHANG, XP , WU, JM , (2013) A COLLOCATION SCHEME FOR A CERTAIN CAUCHY SINGULAR INTEGRAL EQUATION BASED ON THE SUPERCONVERGENCE ANALYSIS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 219. ISSUE 10. P. 5198-5209 20 91% 2
9 LI, J , RU, HX , YU, DH , (2014) COMPOSITE SIMPSON'S RULE FOR COMPUTING SUPERSINGULAR INTEGRAL ON CIRCLE.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. VOL. 97. ISSUE 6. P. 463-481 19 90% 0
10 CRISCUOLO, G , (2014) NUMERICAL EVALUATION OF CERTAIN STRONGLY SINGULAR INTEGRALS.IMA JOURNAL OF NUMERICAL ANALYSIS. VOL. 34. ISSUE 2. P. 651-674 22 76% 1

Classes with closest relation at Level 1


Rank Class id link
1 18044 MECHANICAL QUADRATURE METHOD//SPLITTING EXTRAPOLATION//HEAT POTENTIALS
2 15602 REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF UNDETERMINED COEFFICIENT//OSCILLATORY INTEGRALS
3 13296 FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS
4 5396 NEARLY SINGULAR INTEGRALS//BOUNDARY ELEMENT METHOD//ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
5 33508 COMPLEX HYPERSPHERE//MAXIMAL BRANCHING PROCESS//PERMUTATION FORMULA
6 5428 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION
7 31411 MOMENT INTENSITY//PIEZOCERAMIC LAYER//SEAMANS ENGN ARTS SCI 2416A
8 34867 INDUCED FORCES//INFINITE INTEGRALS OVER SPHERICAL BESSEL FUNCTIONS//NEUMANN FUNCTIONS
9 24884 GENERAL FRANKLIN SYSTEM//INVERSE GRAM MATRIX//ITERATED CUBIC SPLINES
10 33075 KNITTING ZONE//COMPENSATION ZONE//KNITTING SPEED

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