Class information for:
Level 1: OSCILLATORY INTEGRALS//PL MATH SOFTWARE//FILON TYPE METHOD

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
89 3       MATHEMATICS, APPLIED//LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON NUMERICAL ANALYSIS 80538
2167 2             SPHERICAL DESIGNS//PROLATE SPHEROIDAL WAVE FUNCTIONS//SPECTRAL METHODS 5287
20943 1                   OSCILLATORY INTEGRALS//PL MATH SOFTWARE//FILON TYPE METHOD 462

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 OSCILLATORY INTEGRALS authKW 1223960 13% 30% 59
2 PL MATH SOFTWARE address 813057 5% 57% 21
3 FILON TYPE METHOD authKW 701659 3% 86% 12
4 HIGH OSCILLATION authKW 577833 3% 71% 12
5 HIGHLY OSCILLATORY INTEGRALS authKW 524022 3% 59% 13
6 LEVIN METHOD authKW 409303 1% 100% 6
7 CLENSHAW CURTIS POINTS authKW 341086 1% 100% 5
8 CLENSHAW CURTIS QUADRATURE authKW 294782 2% 39% 11
9 CLENSHAW CURTIS FILON TYPE METHOD authKW 272869 1% 100% 4
10 COMPLEX INTEGRATION METHOD authKW 272869 1% 100% 4

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 13209 66% 0% 307
2 Physics, Mathematical 573 10% 0% 48
3 Computer Science, Software Engineering 274 6% 0% 28
4 Computer Science, Interdisciplinary Applications 173 6% 0% 27
5 Mathematics 160 10% 0% 44
6 Optics 68 6% 0% 30
7 Education, Scientific Disciplines 59 2% 0% 9
8 Engineering, General 34 3% 0% 12
9 Mathematics, Interdisciplinary Applications 32 2% 0% 11
10 Physics, Multidisciplinary 23 5% 0% 23

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PL MATH SOFTWARE 813057 5% 57% 21
2 DEP MATEMAT SUPER TECN 68217 0% 100% 1
3 ELECTMAGNET ACOUST 68217 0% 100% 1
4 MAT MFG DIRECTORATE MLPJ 68217 0% 100% 1
5 PL MAT SOFTWARE 68217 0% 100% 1
6 RINCE EARCHING INNOVAT ENGN TECHNOL 68217 0% 100% 1
7 ASTROPHYS SPACE PHYS ENGN 37128 2% 8% 7
8 BIOPHYS ELECT ENG 34108 0% 50% 1
9 MATH AEROSP ENGN 34108 0% 50% 1
10 CRC MATH MODELLING 22738 0% 33% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BIT NUMERICAL MATHEMATICS 19842 5% 1% 21
2 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 17717 11% 1% 52
3 IMA JOURNAL OF NUMERICAL ANALYSIS 14719 4% 1% 18
4 APPLIED NUMERICAL MATHEMATICS 6451 4% 1% 17
5 MATHEMATICS OF COMPUTATION 6052 4% 0% 19
6 NUMERISCHE MATHEMATIK 5037 3% 0% 15
7 APPLIED MATHEMATICS AND COMPUTATION 4670 8% 0% 35
8 NUMERICAL ALGORITHMS 4380 2% 1% 11
9 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 3251 3% 0% 14
10 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 3209 1% 2% 3

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 OSCILLATORY INTEGRALS 1223960 13% 30% 59 Search OSCILLATORY+INTEGRALS Search OSCILLATORY+INTEGRALS
2 FILON TYPE METHOD 701659 3% 86% 12 Search FILON+TYPE+METHOD Search FILON+TYPE+METHOD
3 HIGH OSCILLATION 577833 3% 71% 12 Search HIGH+OSCILLATION Search HIGH+OSCILLATION
4 HIGHLY OSCILLATORY INTEGRALS 524022 3% 59% 13 Search HIGHLY+OSCILLATORY+INTEGRALS Search HIGHLY+OSCILLATORY+INTEGRALS
5 LEVIN METHOD 409303 1% 100% 6 Search LEVIN+METHOD Search LEVIN+METHOD
6 CLENSHAW CURTIS POINTS 341086 1% 100% 5 Search CLENSHAW+CURTIS+POINTS Search CLENSHAW+CURTIS+POINTS
7 CLENSHAW CURTIS QUADRATURE 294782 2% 39% 11 Search CLENSHAW+CURTIS+QUADRATURE Search CLENSHAW+CURTIS+QUADRATURE
8 CLENSHAW CURTIS FILON TYPE METHOD 272869 1% 100% 4 Search CLENSHAW+CURTIS+FILON+TYPE+METHOD Search CLENSHAW+CURTIS+FILON+TYPE+METHOD
9 COMPLEX INTEGRATION METHOD 272869 1% 100% 4 Search COMPLEX+INTEGRATION+METHOD Search COMPLEX+INTEGRATION+METHOD
10 HIGHLY OSCILLATORY INTEGRAL 245577 1% 60% 6 Search HIGHLY+OSCILLATORY+INTEGRAL Search HIGHLY+OSCILLATORY+INTEGRAL

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 14551 CAUCHY PRINCIPAL VALUE INTEGRALS//FINITE PART INTEGRAL//CAUCHY SINGULAR INTEGRAL EQUATION
2 20067 GIBBS PHENOMENON//FOURIER EXTENSION//FOURIER DATA
3 26966 DOUBLE EXPONENTIAL TRANSFORMATION//SINC GALERKIN METHOD//SINC COLLOCATION
4 28651 NFFT//SPARSE FOURIER RECONSTRUCTION//NONUNIFORM FAST FOURIER TRANSFORM
5 12024 ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS
6 14060 HELMHOLTZ EQUATION//WAVE BASED METHOD//ULTRA WEAK VARIATIONAL FORMULATION
7 24443 HADAMARD EXPANSIONS//NUMERICAL EVALUATION OF SPECIAL FUNCTIONS//LAPLACE TYPE INTEGRALS
8 20472 TURAN TYPE INEQUALITIES//INTERLACING OF ZEROS//MATHIEU SERIES
9 27806 EQUATION FREE//EQUATION FREE METHODS//PROJECTIVE INTEGRATION
10 20179 CUBATURE//APPROXIMATE FEKETE POINTS//LEBESGUE CONSTANT

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