Class information for:
Level 1: 1 LAPLACIAN//RELATIVISTIC HEAT EQUATION//FLUX LIMITED DIFFUSION EQUATIONS

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
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
1416 2             VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//MEAN CURVATURE FLOW 8208
27485 1                   1 LAPLACIAN//RELATIVISTIC HEAT EQUATION//FLUX LIMITED DIFFUSION EQUATIONS 248

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 1 LAPLACIAN authKW 894870 5% 54% 13
2 RELATIVISTIC HEAT EQUATION authKW 778386 3% 88% 7
3 FLUX LIMITED DIFFUSION EQUATIONS authKW 762503 2% 100% 6
4 CHEEGER SETS authKW 635409 4% 50% 10
5 1 LAPLACE OPERATOR authKW 571874 2% 75% 6
6 FUNCTIONS OF LEAST GRADIENT authKW 529514 2% 83% 5
7 CHEEGER PROBLEM authKW 254168 1% 100% 2
8 FLUX LIMITED EQUATIONS authKW 254168 1% 100% 2
9 GENERALIZED CHEEGER SETS authKW 254168 1% 100% 2
10 METHOD OF LEAST GRADIENT authKW 254168 1% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 6261 68% 0% 169
2 Mathematics, Applied 4290 52% 0% 129
3 Mechanics 61 6% 0% 16
4 Physics, Mathematical 14 3% 0% 7
5 Computer Science, Software Engineering 11 2% 0% 5
6 Automation & Control Systems 8 2% 0% 4
7 Operations Research & Management Science 6 2% 0% 4
8 Imaging Science & Photographic Technology 5 1% 0% 2
9 Computer Science, Artificial Intelligence 1 1% 0% 3
10 Social Sciences, Mathematical Methods 1 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TECNOL INFORMACIO COMUNICACIO 169444 1% 67% 2
2 CINCIAS EXATAS LICADAS 127084 0% 100% 1
3 GALILES 127084 0% 100% 1
4 INSITUTE SYST THEORY AUTOMAT CONTROL 127084 0% 100% 1
5 MATEMAT LICADA CIENCIA TECNOL MAT TECN 127084 0% 100% 1
6 MATH UMR 5127 127084 0% 100% 1
7 NEUROTRANSPORTER GRP ANAT 127084 0% 100% 1
8 TECNOL INFORMACIO 63541 0% 50% 1
9 ANLA 63539 1% 25% 2
10 ANAL MATEMAT 54344 14% 1% 34

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ADVANCES IN NONLINEAR ANALYSIS 4416 1% 2% 2
2 ASYMPTOTIC ANALYSIS 3772 2% 0% 6
3 JOURNAL OF CONVEX ANALYSIS 3536 2% 1% 5
4 SIBERIAN MATHEMATICAL JOURNAL 3304 4% 0% 9
5 ADVANCES IN CALCULUS OF VARIATIONS 3173 1% 1% 2
6 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 2612 2% 1% 4
7 PUBLICACIONS MATEMATIQUES 2524 1% 1% 3
8 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 2520 3% 0% 7
9 ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 2219 1% 1% 3
10 BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA 2152 0% 2% 1

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 1 LAPLACIAN 894870 5% 54% 13 Search 1+LAPLACIAN Search 1+LAPLACIAN
2 RELATIVISTIC HEAT EQUATION 778386 3% 88% 7 Search RELATIVISTIC+HEAT+EQUATION Search RELATIVISTIC+HEAT+EQUATION
3 FLUX LIMITED DIFFUSION EQUATIONS 762503 2% 100% 6 Search FLUX+LIMITED+DIFFUSION+EQUATIONS Search FLUX+LIMITED+DIFFUSION+EQUATIONS
4 CHEEGER SETS 635409 4% 50% 10 Search CHEEGER+SETS Search CHEEGER+SETS
5 1 LAPLACE OPERATOR 571874 2% 75% 6 Search 1+LAPLACE+OPERATOR Search 1+LAPLACE+OPERATOR
6 FUNCTIONS OF LEAST GRADIENT 529514 2% 83% 5 Search FUNCTIONS+OF+LEAST+GRADIENT Search FUNCTIONS+OF+LEAST+GRADIENT
7 CHEEGER PROBLEM 254168 1% 100% 2 Search CHEEGER+PROBLEM Search CHEEGER+PROBLEM
8 FLUX LIMITED EQUATIONS 254168 1% 100% 2 Search FLUX+LIMITED+EQUATIONS Search FLUX+LIMITED+EQUATIONS
9 GENERALIZED CHEEGER SETS 254168 1% 100% 2 Search GENERALIZED+CHEEGER+SETS Search GENERALIZED+CHEEGER+SETS
10 METHOD OF LEAST GRADIENT 254168 1% 100% 2 Search METHOD+OF+LEAST+GRADIENT Search METHOD+OF+LEAST+GRADIENT

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 22094 INFINITY LAPLACIAN//SUPREMAL FUNCTIONALS//TUG OF WAR GAMES
2 17392 PRESCRIBED MEAN CURVATURE EQUATION//CAPILLARY SURFACE//SINGULAR PHI LAPLACIAN
3 19790 STEINER SYMMETRIZATION//POLYA SZEGO INEQUALITY//ISOPERIMETRIC INEQUALITY
4 32129 FORWARD BACKWARD PARABOLIC EQUATIONS//PSEUDOPARABOLIC REGULARIZATION//BOUNDED RADON MEASURES
5 38268 CONSERVATION LAW WITH NONLINEAR DIVERGENT VISCOSITY//CONVERGENCE IN FORM//INNOVATION WAVES
6 10342 FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION
7 6537 YOUNG MEASURES//QUASICONVEXITY//RANK ONE CONVEXITY
8 6127 MEAN CURVATURE FLOW//SELF SHRINKER//CURVATURE FLOW
9 9105 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
10 1959 TOTAL VARIATION//IMAGE DENOISING//IMAGE RESTORATION

Go to start page