Class information for:
Level 1: SPECTRAL METHODS//NONHOMOGENEOUS DIRICHLET CONDITIONS//DUAL PETROV GALERKIN 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
10143 1                   SPECTRAL METHODS//NONHOMOGENEOUS DIRICHLET CONDITIONS//DUAL PETROV GALERKIN METHOD 1119

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SPECTRAL METHODS authKW 392393 12% 10% 138
2 NONHOMOGENEOUS DIRICHLET CONDITIONS authKW 140818 0% 100% 5
3 DUAL PETROV GALERKIN METHOD authKW 126733 1% 75% 6
4 HERMITE SPECTRAL METHOD authKW 126733 1% 75% 6
5 DIFFERENTIATION MATRIX authKW 122439 1% 43% 10
6 CHEBFUN authKW 120056 1% 47% 9
7 PSEUDOSPECTRAL METHOD authKW 117842 3% 14% 30
8 RATIONAL CHEBYSHEV authKW 117347 0% 83% 5
9 SPECTRAL GALERKIN METHOD authKW 114419 1% 25% 16
10 GEGENBAUER INTEGRATION MATRIX authKW 112654 0% 100% 4

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 26402 61% 0% 677
2 Computer Science, Interdisciplinary Applications 5436 19% 0% 215
3 Physics, Mathematical 3470 16% 0% 179
4 Mathematics, Interdisciplinary Applications 2245 11% 0% 118
5 Mechanics 1515 14% 0% 152
6 Engineering, General 834 7% 0% 79
7 Mathematics 659 12% 0% 133
8 Physics, Fluids & Plasmas 100 3% 0% 32
9 Engineering, Aerospace 71 1% 0% 16
10 Computer Science, Software Engineering 30 2% 0% 19

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SCI COMP SHANGHAI UNIV 100112 1% 22% 16
2 COMPUTAT SCI E 90122 0% 80% 4
3 SHANGHAI E COMPUTAT SCI 84491 0% 100% 3
4 COMPUTAT SCI E SHANGHAI UNIV 56327 0% 100% 2
5 ANALY NUMERIQUE 28164 0% 100% 1
6 COMPUTAT SCIU 28164 0% 100% 1
7 COURANT MATH SCI 251 MERCER ST 28164 0% 100% 1
8 DAM ECP 28164 0% 100% 1
9 DPTO MATMAT LICADA 28164 0% 100% 1
10 FB INGENIEURMATH 10 28164 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF COMPUTATIONAL PHYSICS 53314 13% 1% 148
2 SIAM JOURNAL ON NUMERICAL ANALYSIS 43308 7% 2% 80
3 JOURNAL OF SCIENTIFIC COMPUTING 34889 4% 3% 44
4 APPLIED NUMERICAL MATHEMATICS 20372 4% 2% 47
5 JOURNAL OF COMPUTATIONAL MATHEMATICS 18111 3% 2% 30
6 NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 11894 1% 4% 11
7 SIAM JOURNAL ON SCIENTIFIC COMPUTING 11342 3% 1% 38
8 MATHEMATICS OF COMPUTATION 7983 3% 1% 34
9 ADVANCES IN COMPUTATIONAL MATHEMATICS 7030 1% 2% 12
10 IMA JOURNAL OF NUMERICAL ANALYSIS 6750 2% 1% 19

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SPECTRAL METHODS 392393 12% 10% 138 Search SPECTRAL+METHODS Search SPECTRAL+METHODS
2 NONHOMOGENEOUS DIRICHLET CONDITIONS 140818 0% 100% 5 Search NONHOMOGENEOUS+DIRICHLET+CONDITIONS Search NONHOMOGENEOUS+DIRICHLET+CONDITIONS
3 DUAL PETROV GALERKIN METHOD 126733 1% 75% 6 Search DUAL+PETROV+GALERKIN+METHOD Search DUAL+PETROV+GALERKIN+METHOD
4 HERMITE SPECTRAL METHOD 126733 1% 75% 6 Search HERMITE+SPECTRAL+METHOD Search HERMITE+SPECTRAL+METHOD
5 DIFFERENTIATION MATRIX 122439 1% 43% 10 Search DIFFERENTIATION+MATRIX Search DIFFERENTIATION+MATRIX
6 CHEBFUN 120056 1% 47% 9 Search CHEBFUN Search CHEBFUN
7 PSEUDOSPECTRAL METHOD 117842 3% 14% 30 Search PSEUDOSPECTRAL+METHOD Search PSEUDOSPECTRAL+METHOD
8 RATIONAL CHEBYSHEV 117347 0% 83% 5 Search RATIONAL+CHEBYSHEV Search RATIONAL+CHEBYSHEV
9 SPECTRAL GALERKIN METHOD 114419 1% 25% 16 Search SPECTRAL+GALERKIN+METHOD Search SPECTRAL+GALERKIN+METHOD
10 GEGENBAUER INTEGRATION MATRIX 112654 0% 100% 4 Search GEGENBAUER+INTEGRATION+MATRIX Search GEGENBAUER+INTEGRATION+MATRIX

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 20067 GIBBS PHENOMENON//FOURIER EXTENSION//FOURIER DATA
2 26966 DOUBLE EXPONENTIAL TRANSFORMATION//SINC GALERKIN METHOD//SINC COLLOCATION
3 19686 EXPONENTIAL ACCURACY//CORNER SINGULARITY//DUAL SINGULAR FUNCTION METHOD
4 38113 PROJECTION DIFFERENCE METHOD//EULERIAN VARIABLES//FOURTH ORDER NONLINEAR PROBLEM
5 21160 ORTHOGONAL SPLINE COLLOCATION//MATRIX DECOMPOSITION ALGORITHMS//ALMOST BLOCK DIAGONAL SYSTEMS
6 3703 OPERATIONAL MATRIX//TAU METHOD//VOLTERRA INTEGRAL EQUATION
7 27756 PROLATE SPHEROIDAL WAVE FUNCTIONS//CIRCULAR PROLATE SPHEROIDAL WAVE FUNCTIONS//EQUIPE RADIOELECT
8 19352 END CONDITIONS//FIFTH ORDER BOUNDARY VALUE PROBLEM//NON POLYNOMIAL SPLINE
9 13619 RLW EQUATION//BURGERS EQUATION//TELEGRAPH EQUATION
10 23835 FALKNER SKAN EQUATION//BLASIUS EQUATION//BLASIUS PROBLEM

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