Class information for:
Level 1: SPECTRAL METHODS//SEMI INFINITE INTERVAL//NONHOMOGENEOUS DIRICHLET CONDITIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
9716 1127 21.8 45%


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
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
895 2             SHISHKIN MESH//SINGULAR PERTURBATION//MATHEMATICS, APPLIED 11341
9716 1                   SPECTRAL METHODS//SEMI INFINITE INTERVAL//NONHOMOGENEOUS DIRICHLET CONDITIONS 1127

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 SPECTRAL METHODS authKW 357658 12% 10% 132
2 SEMI INFINITE INTERVAL authKW 156096 1% 52% 11
3 NONHOMOGENEOUS DIRICHLET CONDITIONS authKW 135464 0% 100% 5
4 SPECTRAL GALERKIN METHOD authKW 126263 2% 27% 17
5 DUAL PETROV GALERKIN METHOD authKW 121915 1% 75% 6
6 HERMITE SPECTRAL METHOD authKW 121915 1% 75% 6
7 RATIONAL CHEBYSHEV authKW 112885 0% 83% 5
8 GEGENBAUER INTEGRATION MATRIX authKW 108371 0% 100% 4
9 JACOBI WEIGHTED BESOV AND SOBOLEV SPACES authKW 108371 0% 100% 4
10 POISSON AND HELMHOLTZ EQUATIONS authKW 108371 0% 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 24670 58% 0% 657
2 Computer Science, Interdisciplinary Applications 6485 21% 0% 234
3 Physics, Mathematical 4428 18% 0% 202
4 Mathematics, Interdisciplinary Applications 2483 11% 0% 124
5 Mechanics 1858 15% 0% 167
6 Engineering, General 835 7% 0% 79
7 Mathematics 567 11% 0% 125
8 Physics, Fluids & Plasmas 171 4% 0% 40
9 Engineering, Aerospace 70 1% 0% 16
10 Computer Science, Software Engineering 18 1% 0% 16

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 SHANGHAI E COMPUTAT SCI 81278 0% 100% 3
2 COMPUTAT SCI E 67727 0% 50% 5
3 SCI COMP SHANGHAI UNIV 64491 1% 24% 10
4 SCI COMP 54791 3% 6% 35
5 COMPUTAT SCI E SHANGHAI UNIV 54186 0% 100% 2
6 SCI ENERGIE 48161 0% 44% 4
7 E 42717 3% 4% 39
8 E COMPUTAT SCI 36122 0% 67% 2
9 COMPUTAT SCIU 27093 0% 100% 1
10 COURANT MATH SCI 251 MERCER ST 27093 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 PHYSICS 62169 14% 1% 160
2 SIAM JOURNAL ON NUMERICAL ANALYSIS 42311 7% 2% 80
3 JOURNAL OF SCIENTIFIC COMPUTING 29797 4% 3% 40
4 APPLIED NUMERICAL MATHEMATICS 20299 4% 2% 47
5 JOURNAL OF COMPUTATIONAL MATHEMATICS 17011 3% 2% 29
6 NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 12885 1% 4% 11
7 MATHEMATICS OF COMPUTATION 10329 3% 1% 39
8 SIAM JOURNAL ON SCIENTIFIC COMPUTING 9556 3% 1% 35
9 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 7489 4% 1% 48
10 COMPUTERS & FLUIDS 6107 3% 1% 29

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 SPECTRAL METHODS 357658 12% 10% 132 Search SPECTRAL+METHODS Search SPECTRAL+METHODS
2 SEMI INFINITE INTERVAL 156096 1% 52% 11 Search SEMI+INFINITE+INTERVAL Search SEMI+INFINITE+INTERVAL
3 NONHOMOGENEOUS DIRICHLET CONDITIONS 135464 0% 100% 5 Search NONHOMOGENEOUS+DIRICHLET+CONDITIONS Search NONHOMOGENEOUS+DIRICHLET+CONDITIONS
4 SPECTRAL GALERKIN METHOD 126263 2% 27% 17 Search SPECTRAL+GALERKIN+METHOD Search SPECTRAL+GALERKIN+METHOD
5 DUAL PETROV GALERKIN METHOD 121915 1% 75% 6 Search DUAL+PETROV+GALERKIN+METHOD Search DUAL+PETROV+GALERKIN+METHOD
6 HERMITE SPECTRAL METHOD 121915 1% 75% 6 Search HERMITE+SPECTRAL+METHOD Search HERMITE+SPECTRAL+METHOD
7 RATIONAL CHEBYSHEV 112885 0% 83% 5 Search RATIONAL+CHEBYSHEV Search RATIONAL+CHEBYSHEV
8 GEGENBAUER INTEGRATION MATRIX 108371 0% 100% 4 Search GEGENBAUER+INTEGRATION+MATRIX Search GEGENBAUER+INTEGRATION+MATRIX
9 JACOBI WEIGHTED BESOV AND SOBOLEV SPACES 108371 0% 100% 4 Search JACOBI+WEIGHTED+BESOV+AND+SOBOLEV+SPACES Search JACOBI+WEIGHTED+BESOV+AND+SOBOLEV+SPACES
10 POISSON AND HELMHOLTZ EQUATIONS 108371 0% 100% 4 Search POISSON+AND+HELMHOLTZ+EQUATIONS Search POISSON+AND+HELMHOLTZ+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 GUO, BY , (2013) SOME PROGRESS IN SPECTRAL METHODS.SCIENCE CHINA-MATHEMATICS. VOL. 56. ISSUE 12. P. 2411 -2438 110 89% 7
2 SHEN, J , WANG, LL , (2009) SOME RECENT ADVANCES ON SPECTRAL METHODS FOR UNBOUNDED DOMAINS.COMMUNICATIONS IN COMPUTATIONAL PHYSICS. VOL. 5. ISSUE 2-4. P. 195-241 35 90% 60
3 WANG, LL , SAMSON, MD , ZHAO, XD , (2014) A WELL-CONDITIONED COLLOCATION METHOD USING A PSEUDOSPECTRAL INTEGRATION MATRIX.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 36. ISSUE 3. P. A907 -A929 33 89% 3
4 DOHA, EH , BHRAWY, AH , (2009) A JACOBI SPECTRAL GALERKIN METHOD FOR THE INTEGRATED FORMS OF FOURTH-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. VOL. 25. ISSUE 3. P. 712-739 31 94% 30
5 PARAND, K , REZAEI, AR , TAGHAVI, A , (2010) NUMERICAL APPROXIMATIONS FOR POPULATION GROWTH MODEL BY RATIONAL CHEBYSHEV AND HERMITE FUNCTIONS COLLOCATION APPROACH: A COMPARISON.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 33. ISSUE 17. P. 2076-2086 32 91% 7
6 SUN, T , GUO, BY , (2013) GENERALIZED JACOBI APPROXIMATION IN MULTIPLE DIMENSIONS AND ITS APPLICATIONS.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 55. ISSUE 2. P. 327 -350 28 97% 1
7 DOHA, EH , BHRAWY, AH , (2008) EFFICIENT SPECTRAL-GALERKIN ALGORITHMS FOR DIRECT SOLUTION OF FOURTH-ORDER DIFFERENTIAL EQUATIONS USING JACOBI POLYNOMIALS.APPLIED NUMERICAL MATHEMATICS. VOL. 58. ISSUE 8. P. 1224-1244 27 93% 30
8 WANG, TJ , ZHANG, C , ZHANG, Q , (2016) MIXED SPECTRAL METHOD FOR HEAT TRANSFER USING GENERALISED HERMITE FUNCTIONS AND LEGENDRE POLYNOMIALS.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS. VOL. 6. ISSUE 4. P. 448 -465 21 100% 0
9 WANG, TJ , (2015) MIXED SPECTRAL METHOD FOR HEAT TRANSFER WITH INHOMOGENEOUS NEUMANN BOUNDARY CONDITION IN AN INFINITE STRIP.APPLIED NUMERICAL MATHEMATICS. VOL. 92. ISSUE . P. 82 -97 22 96% 0
10 GUO, BY , YU, XH , (2014) COMPOSITE SPECTRAL METHOD FOR EXTERIOR PROBLEMS WITH POLYGONAL OBSTACLES.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 59. ISSUE 2. P. 439 -472 21 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 17336 GIBBS PHENOMENON//PROLATE SPHEROIDAL WAVE FUNCTIONS//GEGENBAUER RECONSTRUCTION
2 26289 LANE EMDEN EQUATION//LANE EMDEN TYPE EQUATIONS//ISOTHERMAL GAS SPHERES
3 18733 ORTHOGONAL SPLINE COLLOCATION//MATRIX DECOMPOSITION ALGORITHMS//ALMOST BLOCK DIAGONAL SYSTEMS
4 18800 COMPUTAT THEORET FLUID DYNAM//METHOD OF SUPERPOSITION//BIORTHOGONALITY CONDITIONS
5 5428 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION
6 22622 CUBATURE//APPROXIMATE FEKETE POINTS//PADUA POINTS
7 23534 LOCAL DEFECT CORRECTION//VORTICITY VELOCITY FORMULATION//VELOCITY VORTICITY FORMULATION
8 12337 TWO LEVEL METHOD//NAVIER STOKES EQUATIONS//TWO GRID METHOD
9 17000 NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS
10 26010 LINEAR HYPERBOLIC EQUATION//TELEGRAPH EQUATION//SINE GORDON EQUATION

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