Class information for:
Level 1: FAST AUTOMATIC DIFFERENTIATION//STEFAN PROBLEM//METAL SOLIDIFICATION

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
15 4 METALLURGY & METALLURGICAL ENGINEERING//MATERIALS SCIENCE, MULTIDISCIPLINARY//MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING 827627
465 3       SOLIDIFICATION//DIRECTIONAL SOLIDIFICATION//JOURNAL OF CRYSTAL GROWTH 25928
2485 2             VISCOUS FINGERING//HELE SHAW FLOW//HELE SHAW CELL 4175
26289 1                   FAST AUTOMATIC DIFFERENTIATION//STEFAN PROBLEM//METAL SOLIDIFICATION 280

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FAST AUTOMATIC DIFFERENTIATION authKW 1125597 4% 100% 10
2 STEFAN PROBLEM authKW 296737 12% 8% 33
3 METAL SOLIDIFICATION authKW 281394 2% 50% 5
4 PIECEWISE LINEAR FINITE ELEMENTS authKW 253258 1% 75% 3
5 BINGHAM RHEOLOGY authKW 225119 1% 100% 2
6 DISCONTINUOUS VARIATIONAL EQUATION authKW 225119 1% 100% 2
7 GENERALIZED MAGNETODYNAMICS authKW 225119 1% 100% 2
8 GENERALIZED STEFAN LIKE PROBLEM authKW 225119 1% 100% 2
9 QUASILINEAR STEFAN PROBLEM authKW 225119 1% 100% 2
10 SOLIDIFICATION OF METAL authKW 225119 1% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 8356 68% 0% 190
2 Mathematics 1034 27% 0% 76
3 Mechanics 60 6% 0% 17
4 Engineering, General 56 4% 0% 11
5 Physics, Mathematical 47 4% 0% 12
6 COMPUTER APPLICATIONS & CYBERNETICS 41 0% 0% 1
7 Mathematics, Interdisciplinary Applications 22 3% 0% 7
8 Thermodynamics 15 3% 0% 7
9 Engineering, Mechanical 6 3% 0% 7
10 Computer Science, Software Engineering 4 1% 0% 4

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BORDEAUX ENSAM 112560 0% 100% 1
2 HEILBRONNER STR 10 112560 0% 100% 1
3 INFORAMT SYST ENGN 112560 0% 100% 1
4 MATEMAT B LEVI 112560 0% 100% 1
5 UNR PROMAR 112560 0% 100% 1
6 FCE 58913 4% 5% 10
7 O MATEMAT ESTADIST 56279 0% 50% 1
8 SONDERFOR UNGSBEREICH 123 56279 0% 50% 1
9 I2M UMR 5295 37519 0% 33% 1
10 DORODNICYN COMP 20614 4% 2% 11

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 QUARTERLY OF APPLIED MATHEMATICS 9884 4% 1% 12
2 IMA JOURNAL OF NUMERICAL ANALYSIS 9070 4% 1% 11
3 LETTERS IN HEAT AND MASS TRANSFER 7727 1% 2% 3
4 MATEMATICA APLICADA E COMPUTACIONAL 7282 1% 2% 3
5 BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA 6603 4% 1% 11
6 RAIRO-ANALYSE NUMERIQUE-NUMERICAL ANALYSIS 6164 1% 3% 2
7 RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 6024 1% 2% 3
8 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 5800 4% 1% 10
9 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 3732 3% 0% 8
10 ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 2985 2% 0% 6

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 FAST AUTOMATIC DIFFERENTIATION 1125597 4% 100% 10 Search FAST+AUTOMATIC+DIFFERENTIATION Search FAST+AUTOMATIC+DIFFERENTIATION
2 STEFAN PROBLEM 296737 12% 8% 33 Search STEFAN+PROBLEM Search STEFAN+PROBLEM
3 METAL SOLIDIFICATION 281394 2% 50% 5 Search METAL+SOLIDIFICATION Search METAL+SOLIDIFICATION
4 PIECEWISE LINEAR FINITE ELEMENTS 253258 1% 75% 3 Search PIECEWISE+LINEAR+FINITE+ELEMENTS Search PIECEWISE+LINEAR+FINITE+ELEMENTS
5 BINGHAM RHEOLOGY 225119 1% 100% 2 Search BINGHAM+RHEOLOGY Search BINGHAM+RHEOLOGY
6 DISCONTINUOUS VARIATIONAL EQUATION 225119 1% 100% 2 Search DISCONTINUOUS+VARIATIONAL+EQUATION Search DISCONTINUOUS+VARIATIONAL+EQUATION
7 GENERALIZED MAGNETODYNAMICS 225119 1% 100% 2 Search GENERALIZED+MAGNETODYNAMICS Search GENERALIZED+MAGNETODYNAMICS
8 GENERALIZED STEFAN LIKE PROBLEM 225119 1% 100% 2 Search GENERALIZED+STEFAN+LIKE+PROBLEM Search GENERALIZED+STEFAN+LIKE+PROBLEM
9 QUASILINEAR STEFAN PROBLEM 225119 1% 100% 2 Search QUASILINEAR+STEFAN+PROBLEM Search QUASILINEAR+STEFAN+PROBLEM
10 SOLIDIFICATION OF METAL 225119 1% 100% 2 Search SOLIDIFICATION+OF+METAL Search SOLIDIFICATION+OF+METAL

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 20035 QUADRATURE DOMAIN//HELE SHAW FLOW//MOTHER BODY
2 10371 DISCONTINUOUS FLUX//ENTROPY SOLUTION//DEGENERATE PARABOLIC HYPERBOLIC EQUATION
3 7818 STEFAN PROBLEM//HEAT BALANCE INTEGRAL METHOD//INVERSE STEFAN PROBLEM
4 23901 TRUNCATED VARIATION//NON CLASSICAL HEAT EQUATION//PREISACH OPERATOR
5 25163 SPREADING VANISHING DICHOTOMY//SPREADING AND VANISHING//GLOBAL FAST SOLUTION
6 21620 UNCONFINED SEEPAGE//COMPOSITION DUALITY METHODS//MAXWELL NORTON MATERIALS
7 28266 THERMISTOR PROBLEM//TRESCA LAW//NON LOCAL PARABOLIC PROBLEMS
8 33890 LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA
9 29060 WORST SCENARIO//UNCERTAIN INPUT DATA//TRANSONIC FULL POTENTIAL EQUATION
10 13647 OVERDETERMINED PROBLEMS//OVERDETERMINED BOUNDARY VALUE PROBLEMS//CONSTANT RANK THEOREM

Go to start page