Class information for:
Level 1: NUMERICAL CONFORMAL MAPPING//GENERALIZED NEUMANN KERNEL//SCHWARZ CHRISTOFFEL TRANSFORMATION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
18918 530 17.1 32%



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
664 3       MEROMORPHIC FUNCTION//UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS 10322
2311 2             UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS 4496
18918 1                   NUMERICAL CONFORMAL MAPPING//GENERALIZED NEUMANN KERNEL//SCHWARZ CHRISTOFFEL TRANSFORMATION 530

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 NUMERICAL CONFORMAL MAPPING authKW 2416930 10% 82% 51
2 GENERALIZED NEUMANN KERNEL authKW 1209868 4% 100% 21
3 SCHWARZ CHRISTOFFEL TRANSFORMATION authKW 547302 4% 50% 19
4 SCHOTTKY KLEIN PRIME FUNCTION authKW 464737 2% 73% 11
5 MULTIPLY CONNECTED DOMAINS authKW 372830 5% 27% 24
6 CONFORMAL MAPPING authKW 345170 13% 9% 67
7 MULTIPLY CONNECTED REGIONS authKW 331949 2% 52% 11
8 AHLFORS MAP authKW 296293 1% 86% 6
9 NEUMANN KERNEL authKW 288064 1% 100% 5
10 MULTIPLY CONNECTED authKW 276527 2% 40% 12

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 6372 44% 0% 231
2 Mathematics 1017 20% 0% 106
3 Engineering, Electrical & Electronic 756 24% 0% 126
4 Mechanics 170 7% 0% 38
5 Mathematics, Interdisciplinary Applications 141 4% 0% 22
6 Computer Science, Interdisciplinary Applications 134 5% 0% 26
7 Engineering, General 122 4% 0% 22
8 Optics 89 7% 0% 36
9 Engineering, Aerospace 80 2% 0% 11
10 Telecommunications 66 4% 0% 19

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 UNIV TLEMCEN 115226 0% 100% 2
2 UTM IND PL MATH UTM CIAM 76816 0% 67% 2
3 CB 3250 57613 0% 100% 1
4 CHEBOTAREV MATH MECH KAZAN VOLGA REG 57613 0% 100% 1
5 EC MATHS 57613 0% 100% 1
6 ECOLE CENRALE MARSEILLE 57613 0% 100% 1
7 MATHACAG 57613 0% 100% 1
8 SWEDISH RENEWABLE ENERGY CONVERSANGSTROM 57613 0% 100% 1
9 INT MATH MODELLING 46088 0% 40% 2
10 J AN SCI TECHNOL AGCYKITA KU 28805 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 COMPUTATIONAL METHODS AND FUNCTION THEORY 35999 1% 13% 5
2 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 18470 11% 1% 57
3 JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 10061 2% 2% 9
4 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 9748 2% 1% 12
5 IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES 6194 7% 0% 37
6 CONSTRUCTIVE APPROXIMATION 4677 2% 1% 9
7 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 3261 1% 1% 7
8 ALTA FREQUENZA 2859 1% 2% 3
9 IEE PROCEEDINGS-H MICROWAVES ANTENNAS AND PROPAGATION 2735 1% 1% 7
10 MICROWAVE AND OPTICAL TECHNOLOGY LETTERS 2611 5% 0% 26

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 NUMERICAL CONFORMAL MAPPING 2416930 10% 82% 51 Search NUMERICAL+CONFORMAL+MAPPING Search NUMERICAL+CONFORMAL+MAPPING
2 GENERALIZED NEUMANN KERNEL 1209868 4% 100% 21 Search GENERALIZED+NEUMANN+KERNEL Search GENERALIZED+NEUMANN+KERNEL
3 SCHWARZ CHRISTOFFEL TRANSFORMATION 547302 4% 50% 19 Search SCHWARZ+CHRISTOFFEL+TRANSFORMATION Search SCHWARZ+CHRISTOFFEL+TRANSFORMATION
4 SCHOTTKY KLEIN PRIME FUNCTION 464737 2% 73% 11 Search SCHOTTKY+KLEIN+PRIME+FUNCTION Search SCHOTTKY+KLEIN+PRIME+FUNCTION
5 MULTIPLY CONNECTED DOMAINS 372830 5% 27% 24 Search MULTIPLY+CONNECTED+DOMAINS Search MULTIPLY+CONNECTED+DOMAINS
6 CONFORMAL MAPPING 345170 13% 9% 67 Search CONFORMAL+MAPPING Search CONFORMAL+MAPPING
7 MULTIPLY CONNECTED REGIONS 331949 2% 52% 11 Search MULTIPLY+CONNECTED+REGIONS Search MULTIPLY+CONNECTED+REGIONS
8 AHLFORS MAP 296293 1% 86% 6 Search AHLFORS+MAP Search AHLFORS+MAP
9 NEUMANN KERNEL 288064 1% 100% 5 Search NEUMANN+KERNEL Search NEUMANN+KERNEL
10 MULTIPLY CONNECTED 276527 2% 40% 12 Search MULTIPLY+CONNECTED Search MULTIPLY+CONNECTED

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 YUNUS, AAM , MURID, AHM , NASSER, MMS , (2014) NUMERICAL CONFORMAL MAPPING AND ITS INVERSE OF UNBOUNDED MULTIPLY CONNECTED REGIONS ONTO LOGARITHMIC SPIRAL SLIT REGIONS AND STRAIGHT SLIT REGIONS.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 470. ISSUE 2162. P. - 26 96% 5
2 NASSER, MMS , (2015) FAST COMPUTATION OF THE CIRCULAR MAP.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 15. ISSUE 2. P. 187 -223 23 82% 0
3 YUNUS, AAM , MURID, AHM , NASSER, MMS , (2014) NUMERICAL EVALUATION OF CONFORMAL MAPPING AND ITS INVERSE FOR UNBOUNDED MULTIPLY CONNECTED REGIONS.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. VOL. 37. ISSUE 1. P. 1-24 19 100% 0
4 NASYROV, SR , (2015) RIEMANN-SCHWARZ REFLECTION PRINCIPLE AND ASYMPTOTICS OF MODULES OF RECTANGULAR FRAMES.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 15. ISSUE 1. P. 59 -74 20 83% 0
5 NASSER, MMS , AL-SHIHRI, FAA , (2013) A FAST BOUNDARY INTEGRAL EQUATION METHOD FOR CONFORMAL MAPPING OF MULTIPLY CONNECTED REGIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 35. ISSUE 3. P. A1736-A1760 22 76% 4
6 AMANO, K , OKANO, D , OGATA, H , SUGIHARA, M , (2012) NUMERICAL CONFORMAL MAPPINGS ONTO THE LINEAR SLIT DOMAIN.JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS. VOL. 29. ISSUE 2. P. 165-186 19 83% 4
7 NASSER, MMS , (2015) FAST SOLUTION OF BOUNDARY INTEGRAL EQUATIONS WITH THE GENERALIZED NEUMANN KERNEL.ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. VOL. 44. ISSUE . P. 189 -229 21 64% 1
8 COSTAMAGNA, E , (2001) NUMERICAL INVERSION OF THE SCHWARZ-CHRISTOFFEL CONFORMAL TRANSFORMATION: STRIP-LINE CASE STUDIES.MICROWAVE AND OPTICAL TECHNOLOGY LETTERS. VOL. 28. ISSUE 3. P. 179 -183 21 91% 3
9 NASSER, MMS , (2013) NUMERICAL CONFORMAL MAPPING OF MULTIPLY CONNECTED REGIONS ONTO THE FIFTH CATEGORY OF KOEBE'S CANONICAL SLIT REGIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 398. ISSUE 2. P. 729 -743 13 100% 5
10 NASSER, MMS , LIESEN, J , SETE, O , (2016) NUMERICAL COMPUTATION OF THE CONFORMAL MAP ONTO LEMNISCATIC DOMAINS.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 16. ISSUE 4. P. 609 -635 18 67% 0

Classes with closest relation at Level 1



Rank Class id link
1 29291 CONDENSER CAPACITY//CIRCULAR SYMMETRIZATION//LOGARITHMIC CAPACITY
2 26343 CONTOURED CAVITIES//TWO BODIES//BODY VORTEX INTERACTION
3 34988 HYDROSTATIC DRIVE//GENERALIZED SCHWARZ CHRISTOFFEL TRANSFORMATION//VARIABLE CAPACITY DISPLACEMENT PUMP
4 27993 NONLINEAR RIEMANN HILBERT PROBLEMS//TOPOLOGICAL DEGREE THEORY OF MAPPINGS//ANALYTIC MULTIFUNCTIONS
5 23180 BIEBERBACH POLYNOMIALS//QUASICONFORMAL CURVE//BERGMAN ORTHOGONAL POLYNOMIALS
6 36432 ELECTRIC STRESS CONTROL//EQUIVALENT ELECTRODES METHOD//ENDWINDINGS
7 18044 MECHANICAL QUADRATURE METHOD//SPLITTING EXTRAPOLATION//HEAT POTENTIALS
8 5521 IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES//SYNTHESIS FORMULAS//CYLINDRICAL MICROSTRIP LINE
9 15498 FORCED KORTEWEG DE VRIES EQUATION//SELECTIVE WITHDRAWAL//HYDRAULIC FALLS
10 37576 CHRISTOFFEL SCHWARZ INTEGRAL//GALAXIES SURROUNDING//GALAXIES UV EXCESS

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