Class information for:
Level 1: REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF UNDETERMINED COEFFICIENT//OSCILLATORY INTEGRALS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15602 703 18.3 36%


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
15602 1                   REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF UNDETERMINED COEFFICIENT//OSCILLATORY INTEGRALS 703

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 REMAINDER TERM FOR ANALYTIC FUNCTIONS authKW 694951 2% 100% 16
2 THE METHOD OF UNDETERMINED COEFFICIENT authKW 694951 2% 100% 16
3 OSCILLATORY INTEGRALS authKW 677744 8% 29% 53
4 CONTOUR INTEGRAL REPRESENTATION authKW 597734 2% 81% 17
5 THE METHOD OF SOLVING NONLINEAR SYSTEMS authKW 564648 2% 100% 13
6 STIELTJES POLYNOMIALS authKW 532069 2% 88% 14
7 PL MATH SOFTWARE address 469543 3% 54% 20
8 FILON TYPE METHOD authKW 394857 1% 91% 10
9 DEGREE OF ACCURACY authKW 351817 1% 90% 9
10 INTERPOLATORY QUADRATURE FORMULAE authKW 351817 1% 90% 9

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 34330 86% 0% 607
2 Computer Science, Software Engineering 809 8% 0% 58
3 Mathematics 446 12% 0% 86
4 Computer Science, Theory & Methods 37 3% 0% 19
5 Physics, Mathematical 22 2% 0% 16
6 Mechanics 15 3% 0% 19
7 Computer Science, Interdisciplinary Applications 10 2% 0% 12
8 Mathematics, Interdisciplinary Applications 9 1% 0% 9
9 Engineering, General 2 1% 0% 7
10 Statistics & Probability -1 0% 0% 2

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 PL MATH SOFTWARE 469543 3% 54% 20
2 SANJESH ORG 351817 1% 90% 9
3 DEP MATEMAT SUPER TECN 43434 0% 100% 1
4 DOCCE 43434 0% 100% 1
5 ELE ENGN MATH 43434 0% 100% 1
6 ESC SUP FIS MATH 43434 0% 100% 1
7 MATH SYST SCIA 43434 0% 100% 1
8 PL MAT SOFTWARE 43434 0% 100% 1
9 PUAL PAINLEVE 43434 0% 100% 1
10 RINCE EARCHING INNOVAT ENGN TECHNOL 43434 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 62893 17% 1% 121
2 MATHEMATICS OF COMPUTATION 42040 9% 2% 62
3 NUMERISCHE MATHEMATIK 40893 8% 2% 53
4 BIT NUMERICAL MATHEMATICS 39889 5% 2% 37
5 NUMERICAL ALGORITHMS 16426 4% 1% 26
6 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 10479 4% 1% 31
7 IMA JOURNAL OF NUMERICAL ANALYSIS 9703 3% 1% 18
8 APPLIED MATHEMATICS AND COMPUTATION 9489 9% 0% 62
9 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 7627 1% 2% 10
10 BIT 7397 1% 2% 8

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 REMAINDER TERM FOR ANALYTIC FUNCTIONS 694951 2% 100% 16 Search REMAINDER+TERM+FOR+ANALYTIC+FUNCTIONS Search REMAINDER+TERM+FOR+ANALYTIC+FUNCTIONS
2 THE METHOD OF UNDETERMINED COEFFICIENT 694951 2% 100% 16 Search THE+METHOD+OF+UNDETERMINED+COEFFICIENT Search THE+METHOD+OF+UNDETERMINED+COEFFICIENT
3 OSCILLATORY INTEGRALS 677744 8% 29% 53 Search OSCILLATORY+INTEGRALS Search OSCILLATORY+INTEGRALS
4 CONTOUR INTEGRAL REPRESENTATION 597734 2% 81% 17 Search CONTOUR+INTEGRAL+REPRESENTATION Search CONTOUR+INTEGRAL+REPRESENTATION
5 THE METHOD OF SOLVING NONLINEAR SYSTEMS 564648 2% 100% 13 Search THE+METHOD+OF+SOLVING+NONLINEAR+SYSTEMS Search THE+METHOD+OF+SOLVING+NONLINEAR+SYSTEMS
6 STIELTJES POLYNOMIALS 532069 2% 88% 14 Search STIELTJES+POLYNOMIALS Search STIELTJES+POLYNOMIALS
7 FILON TYPE METHOD 394857 1% 91% 10 Search FILON+TYPE+METHOD Search FILON+TYPE+METHOD
8 DEGREE OF ACCURACY 351817 1% 90% 9 Search DEGREE+OF+ACCURACY Search DEGREE+OF+ACCURACY
9 INTERPOLATORY QUADRATURE FORMULAE 351817 1% 90% 9 Search INTERPOLATORY+QUADRATURE+FORMULAE Search INTERPOLATORY+QUADRATURE+FORMULAE
10 HIGHLY OSCILLATORY INTEGRALS 349534 2% 62% 13 Search HIGHLY+OSCILLATORY+INTEGRALS Search HIGHLY+OSCILLATORY+INTEGRALS

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 NOTARIS, SE , (2016) GAUSS-KRONROD QUADRATURE FORMULAE - A SURVEY OF FIFTY YEARS OF RESEARCH.ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. VOL. 45. ISSUE . P. 371 -404 85 79% 1
2 HE, G , XIANG, SH , XU, ZH , (2016) A CHEBYSHEV COLLOCATION METHOD FOR A CLASS OF FREDHOLM INTEGRAL EQUATIONS WITH HIGHLY OSCILLATORY KERNELS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 300. ISSUE . P. 354 -368 33 100% 0
3 NOTARIS, SE , (2012) THE ERROR NORM OF QUADRATURE FORMULAE.NUMERICAL ALGORITHMS. VOL. 60. ISSUE 4. P. 555 -578 31 100% 3
4 XU, ZH , XIANG, SH , (2016) ON THE EVALUATION OF HIGHLY OSCILLATORY FINITE HANKEL TRANSFORM USING SPECIAL FUNCTIONS.NUMERICAL ALGORITHMS. VOL. 72. ISSUE 1. P. 37 -56 26 96% 0
5 SPALEVIC, MM , CVETKOVIC, AS , (2016) ESTIMATING THE ERROR OF GAUSSIAN QUADRATURES WITH SIMPLE AND MULTIPLE NODES BY USING THEIR EXTENSIONS WITH MULTIPLE NODES.BIT NUMERICAL MATHEMATICS. VOL. 56. ISSUE 1. P. 357 -374 25 83% 1
6 EHRICH, S , (2001) STOPPING FUNCTIONALS FOR GAUSSIAN QUADRATURE FORMULAS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 127. ISSUE 1-2. P. 153 -171 38 86% 5
7 PEJCEV, AV , SPALEVIC, MM , (2016) THE ERROR BOUNDS OF GAUSS-RADAU QUADRATURE FORMULAE WITH BERNSTEIN-SZEGA WEIGHT FUNCTIONS.NUMERISCHE MATHEMATIK. VOL. 133. ISSUE 1. P. 177 -201 21 100% 0
8 FANG, CH , (2016) EFFICIENT METHODS FOR HIGHLY OSCILLATORY INTEGRALS WITH WEAK AND CAUCHY SINGULARITIES.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 93. ISSUE 9. P. 1597 -1610 20 100% 0
9 XU, ZH , MILOVANOVIC, GV , (2016) EFFICIENT METHOD FOR THE COMPUTATION OF OSCILLATORY BESSEL TRANSFORM AND BESSEL HILBERT TRANSFORM.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 308. ISSUE . P. 117 -137 24 80% 0
10 HE, G , XIANG, SH , (2015) AN IMPROVED ALGORITHM FOR THE EVALUATION OF CAUCHY PRINCIPAL VALUE INTEGRALS OF OSCILLATORY FUNCTIONS AND ITS APPLICATION.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 280. ISSUE . P. 1 -13 19 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 22622 CUBATURE//APPROXIMATE FEKETE POINTS//PADUA POINTS
2 33484 EIKONAL TRANSFORMATION//HIGH OSCILLATIONS//FINITE HANKEL TRANSFORM
3 13296 FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS
4 13996 CAUCHY PRINCIPAL VALUE INTEGRALS//CAUCHY SINGULAR INTEGRAL EQUATION//FINITE PART INTEGRAL
5 16438 ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS
6 24535 SEMISEPARABLE MATRICES//QUASISEPARABLE MATRICES//QR ITERATION
7 34867 INDUCED FORCES//INFINITE INTEGRALS OVER SPHERICAL BESSEL FUNCTIONS//NEUMANN FUNCTIONS
8 17336 GIBBS PHENOMENON//PROLATE SPHEROIDAL WAVE FUNCTIONS//GEGENBAUER RECONSTRUCTION
9 7380 ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
10 15853 CONVERGENCE ACCELERATION//MULTIVARIATE PADE APPROXIMANTS//SEQUENCE TRANSFORMATIONS

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