Class information for:
Level 1: TIME SINGULARITIES//CONSTANT ASTIGMATISM EQUATION//TIME SINGULARITY OF THE FIRST KIND

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
23134 357 19.3 29%



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
2408 2             HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD 4192
23134 1                   TIME SINGULARITIES//CONSTANT ASTIGMATISM EQUATION//TIME SINGULARITY OF THE FIRST KIND 357

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 TIME SINGULARITIES authKW 356384 1% 83% 5
2 CONSTANT ASTIGMATISM EQUATION authKW 342130 1% 100% 4
3 TIME SINGULARITY OF THE FIRST KIND authKW 342130 1% 100% 4
4 SINGULAR ORDINARY DIFFERENTIAL EQUATION OF THE SECOND ORDER authKW 273702 1% 80% 4
5 ITERATIVE TRANSFORMATION METHOD authKW 256598 1% 100% 3
6 NONITERATIVE AND ITERATIVE NUMERICAL METHODS authKW 256598 1% 100% 3
7 ORTHOGONAL EQUIAREAL PATTERN authKW 256598 1% 100% 3
8 SINGULARITY OF THE FIRST KIND authKW 228084 1% 67% 4
9 DEAD CORE SOLUTION authKW 195499 1% 57% 4
10 FREE BOUNDARY FORMULATION authKW 192447 1% 75% 3

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 7276 56% 0% 201
2 Mechanics 946 18% 0% 66
3 Mathematics 400 16% 0% 56
4 Physics, Mathematical 279 8% 0% 30
5 Physics, Multidisciplinary 42 7% 0% 24
6 Acoustics 36 2% 0% 8
7 Computer Science, Interdisciplinary Applications 36 3% 0% 12
8 Engineering, Mechanical 31 4% 0% 14
9 Computer Science, Software Engineering 28 3% 0% 9
10 Mathematics, Interdisciplinary Applications 22 2% 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 MATH OPAVA 109961 2% 21% 6
2 PL MATH NUMER ANAL 104766 2% 18% 7
3 ANAL SCI COMP 97052 6% 5% 23
4 HBEREICH MATH MA 6 2 85533 0% 100% 1
5 INGN DIPARTIMENTO ENERGET 85533 0% 100% 1
6 SCI TUNIS 2 85533 0% 100% 1
7 SECTOR MATH PHYS 85533 0% 100% 1
8 ANGEW NUMER MATHEMAT 42765 0% 50% 1
9 CHRISTIAN DOPPLER FUNKT ORIENTIERTES WERKSTOF 42765 0% 50% 1
10 SCI HUMAN STUDIES HOWTAT SUDAIR 42765 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 INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 5118 4% 0% 14
2 BOUNDARY VALUE PROBLEMS 3626 2% 1% 8
3 APPLIED NUMERICAL MATHEMATICS 3504 3% 0% 11
4 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 3319 3% 0% 10
5 MATHEMATICS OF COMPUTATION 1732 3% 0% 9
6 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 1474 2% 0% 8
7 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 1409 4% 0% 13
8 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 1366 2% 0% 8
9 NUMERICAL ALGORITHMS 1190 1% 0% 5
10 APPLICATIONS OF MATHEMATICS 1089 1% 1% 2

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 TIME SINGULARITIES 356384 1% 83% 5 Search TIME+SINGULARITIES Search TIME+SINGULARITIES
2 CONSTANT ASTIGMATISM EQUATION 342130 1% 100% 4 Search CONSTANT+ASTIGMATISM+EQUATION Search CONSTANT+ASTIGMATISM+EQUATION
3 TIME SINGULARITY OF THE FIRST KIND 342130 1% 100% 4 Search TIME+SINGULARITY+OF+THE+FIRST+KIND Search TIME+SINGULARITY+OF+THE+FIRST+KIND
4 SINGULAR ORDINARY DIFFERENTIAL EQUATION OF THE SECOND ORDER 273702 1% 80% 4 Search SINGULAR+ORDINARY+DIFFERENTIAL+EQUATION+OF+THE+SECOND+ORDER Search SINGULAR+ORDINARY+DIFFERENTIAL+EQUATION+OF+THE+SECOND+ORDER
5 ITERATIVE TRANSFORMATION METHOD 256598 1% 100% 3 Search ITERATIVE+TRANSFORMATION+METHOD Search ITERATIVE+TRANSFORMATION+METHOD
6 NONITERATIVE AND ITERATIVE NUMERICAL METHODS 256598 1% 100% 3 Search NONITERATIVE+AND+ITERATIVE+NUMERICAL+METHODS Search NONITERATIVE+AND+ITERATIVE+NUMERICAL+METHODS
7 ORTHOGONAL EQUIAREAL PATTERN 256598 1% 100% 3 Search ORTHOGONAL+EQUIAREAL+PATTERN Search ORTHOGONAL+EQUIAREAL+PATTERN
8 SINGULARITY OF THE FIRST KIND 228084 1% 67% 4 Search SINGULARITY+OF+THE+FIRST+KIND Search SINGULARITY+OF+THE+FIRST+KIND
9 DEAD CORE SOLUTION 195499 1% 57% 4 Search DEAD+CORE+SOLUTION Search DEAD+CORE+SOLUTION
10 FREE BOUNDARY FORMULATION 192447 1% 75% 3 Search FREE+BOUNDARY+FORMULATION Search FREE+BOUNDARY+FORMULATION

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 FAZIO, R , (2015) FREE BOUNDARY FORMULATION FOR BVPS ON A SEMI-INFINITE INTERVAL AND NON-ITERATIVE TRANSFORMATION METHODS.ACTA APPLICANDAE MATHEMATICAE. VOL. 140. ISSUE 1. P. 27 -42 19 79% 0
2 PULVERER, G , STANEK, S , WEINMULLER, EB , (2010) ANALYSIS AND NUMERICAL SOLUTIONS OF POSITIVE AND DEAD CORE SOLUTIONS OF SINGULAR STURM-LIOUVILLE PROBLEMS.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 14 100% 1
3 RACHUNKOVA, I , PULVERER, G , WEINMULLER, E , (2010) A UNIFIED APPROACH TO SINGULAR PROBLEMS ARISING IN THE MEMBRANE THEORY.APPLICATIONS OF MATHEMATICS. VOL. 55. ISSUE 1. P. 47 -75 14 88% 1
4 STANEK, S , PULVERER, G , WEINMULLER, EB , (2008) ANALYSIS AND NUMERICAL SIMULATION OF POSITIVE AND DEAD-CORE SOLUTIONS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 56. ISSUE 7. P. 1820-1837 11 100% 0
5 RACHUNKOVA, I , STANEK, S , WEINMULLER, E , ZENZ, M , (2010) NEUMANN PROBLEMS WITH TIME SINGULARITIES.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 60. ISSUE 3. P. 722 -733 12 86% 2
6 GSCHWINDL, J , RACHUNKOVA, I , STANEK, S , WEINMULLER, EB , (2014) POSITIVE BLOW-UP SOLUTIONS OF NONLINEAR MODELS FROM REAL WORLD DYNAMICS.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 11 85% 0
7 FAZIO, R , JANNELLI, A , (2014) FINITE DIFFERENCE SCHEMES ON QUASI-UNIFORM GRIDS FOR BVPS ON INFINITE INTERVALS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 269. ISSUE . P. 14-23 12 71% 5
8 RACHUNKOVA, I , SPIELAUER, A , STANEK, S , WEINMULLER, EB , (2013) THE STRUCTURE OF A SET OF POSITIVE SOLUTIONS TO DIRICHLET BVPS WITH TIME AND SPACE SINGULARITIES.GEORGIAN MATHEMATICAL JOURNAL. VOL. 20. ISSUE 1. P. 95-127 9 100% 0
9 HASTERMANN, G , LIMA, PM , MORGADO, ML , WEINMULLER, EB , (2013) DENSITY PROFILE EQUATION WITH P-LAPLACIAN: ANALYSIS AND NUMERICAL SIMULATION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 225. ISSUE . P. 550 -561 12 75% 0
10 MANGANARO, N , PAVLOV, MV , (2014) THE CONSTANT ASTIGMATISM EQUATION. NEW EXACT SOLUTION.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 47. ISSUE 7. P. - 10 83% 4

Classes with closest relation at Level 1



Rank Class id link
1 26289 LANE EMDEN EQUATION//LANE EMDEN TYPE EQUATIONS//ISOTHERMAL GAS SPHERES
2 18733 ORTHOGONAL SPLINE COLLOCATION//MATRIX DECOMPOSITION ALGORITHMS//ALMOST BLOCK DIAGONAL SYSTEMS
3 31232 REGULARLY VARYING SOLUTIONS//SLOWLY VARYING SOLUTIONS//REGULARLY VARYING FUNCTIONS
4 17000 NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS
5 36676 CONVERGENCE IN THE SENSE OF RESOLVENT//DISCRETE HYPERBOLIC SYSTEM//ELLIPTIC LIKE REGULARIZATION
6 3538 NONLINEAR SELF ADJOINTNESS//CONSERVATION LAWS//EQUIVALENCE TRANSFORMATIONS
7 30674 PIEZOELECTRIC RUBBER TRANSDUCER//ASYMPTOTIC DISPERSION CURVES//AURORA AUSTRALIS
8 29410 PRESTRESSED STAYED COLUMNS//CABLED COLUMNS//COMPRESSIVE MEMBRANES
9 18397 DIFFERENTIAL ALGEBRAIC EQUATIONS//MATEMAT LICADA TECNOL INFORMAC//CONSISTENT INITIAL VALUES
10 561 POSITIVE SOLUTION//CONE//FIXED POINT INDEX

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