Class information for:
Level 1: EXACT BOUNDARY CONTROLLABILITY//EXACT BOUNDARY OBSERVABILITY//ISOTHERMAL EULER 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
1719 2             CONSERVATION LAWS//RIEMANN PROBLEM//DELTA SHOCK WAVE 6934
19704 1                   EXACT BOUNDARY CONTROLLABILITY//EXACT BOUNDARY OBSERVABILITY//ISOTHERMAL EULER EQUATIONS 516

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EXACT BOUNDARY CONTROLLABILITY authKW 1040959 5% 61% 28
2 EXACT BOUNDARY OBSERVABILITY authKW 732936 2% 100% 12
3 ISOTHERMAL EULER EQUATIONS authKW 508980 2% 83% 10
4 NONLINEAR MATH MODELING METHODS address 508980 2% 83% 10
5 QUASILINEAR HYPERBOLIC SYSTEM authKW 321290 4% 24% 22
6 NETWORKS AND HETEROGENEOUS MEDIA journal 315891 9% 11% 47
7 SEMI GLOBAL C 1 SOLUTION authKW 305390 1% 100% 5
8 MIXED INITIAL BOUNDARY VALUE PROBLEM authKW 283702 2% 39% 12
9 FLUID DYNAMIC MODELS authKW 272070 1% 64% 7
10 SCALAR CONSERVATION LAWS authKW 270583 5% 18% 24

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 9105 53% 0% 271
2 Automation & Control Systems 4989 21% 0% 107
3 Mathematics, Interdisciplinary Applications 2078 15% 0% 76
4 Mathematics 1519 24% 0% 126
5 Operations Research & Management Science 408 7% 0% 35
6 Physics, Mathematical 95 4% 0% 23
7 Computer Science, Interdisciplinary Applications 65 4% 0% 19
8 Engineering, General 50 3% 0% 15
9 Engineering, Electrical & Electronic 47 8% 0% 43
10 Mechanics 17 3% 0% 16

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NONLINEAR MATH MODELING METHODS 508980 2% 83% 10
2 INFORMAT ENGN PL MATH 244292 3% 29% 14
3 BUSINESS INFORMAT MATH 189483 2% 28% 11
4 RECH MATH AVANCEE 101178 6% 6% 30
5 SHANGHAI CONTEMPORARY PL MATH 95831 4% 8% 19
6 IGPM 84560 1% 23% 6
7 LEHRSTUHL ANGEW MATH 2 80358 1% 26% 5
8 ARBEITSGRP DYNAM SYST STEUERUNG 10 61078 0% 100% 1
9 ARBEITSGRP OPTIMIERUNG 61078 0% 100% 1
10 ASSY TECT ENGN SECT 61078 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NETWORKS AND HETEROGENEOUS MEDIA 315891 9% 11% 47
2 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 13673 6% 1% 29
3 MATHEMATICAL CONTROL AND RELATED FIELDS 13315 1% 4% 6
4 CHINESE ANNALS OF MATHEMATICS SERIES B 11443 3% 1% 18
5 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 9556 5% 1% 25
6 COMMUNICATIONS IN MATHEMATICAL SCIENCES 9441 2% 1% 11
7 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 9148 2% 1% 11
8 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 5759 1% 2% 6
9 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 3611 3% 0% 15
10 MULTISCALE MODELING & SIMULATION 2650 1% 1% 6

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 EXACT BOUNDARY CONTROLLABILITY 1040959 5% 61% 28 Search EXACT+BOUNDARY+CONTROLLABILITY Search EXACT+BOUNDARY+CONTROLLABILITY
2 EXACT BOUNDARY OBSERVABILITY 732936 2% 100% 12 Search EXACT+BOUNDARY+OBSERVABILITY Search EXACT+BOUNDARY+OBSERVABILITY
3 ISOTHERMAL EULER EQUATIONS 508980 2% 83% 10 Search ISOTHERMAL+EULER+EQUATIONS Search ISOTHERMAL+EULER+EQUATIONS
4 QUASILINEAR HYPERBOLIC SYSTEM 321290 4% 24% 22 Search QUASILINEAR+HYPERBOLIC+SYSTEM Search QUASILINEAR+HYPERBOLIC+SYSTEM
5 SEMI GLOBAL C 1 SOLUTION 305390 1% 100% 5 Search SEMI+GLOBAL+C+1+SOLUTION Search SEMI+GLOBAL+C+1+SOLUTION
6 MIXED INITIAL BOUNDARY VALUE PROBLEM 283702 2% 39% 12 Search MIXED+INITIAL+BOUNDARY+VALUE+PROBLEM Search MIXED+INITIAL+BOUNDARY+VALUE+PROBLEM
7 FLUID DYNAMIC MODELS 272070 1% 64% 7 Search FLUID+DYNAMIC+MODELS Search FLUID+DYNAMIC+MODELS
8 SCALAR CONSERVATION LAWS 270583 5% 18% 24 Search SCALAR+CONSERVATION+LAWS Search SCALAR+CONSERVATION+LAWS
9 COUPLED SYSTEM OF WAVE EQUATIONS 254490 1% 83% 5 Search COUPLED+SYSTEM+OF+WAVE+EQUATIONS Search COUPLED+SYSTEM+OF+WAVE+EQUATIONS
10 FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEM 254490 1% 83% 5 Search FIRST+ORDER+QUASILINEAR+HYPERBOLIC+SYSTEM Search FIRST+ORDER+QUASILINEAR+HYPERBOLIC+SYSTEM

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 9941 QUASILINEAR HYPERBOLIC SYSTEM//LINEAR DEGENERACY//QUASILINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS
2 19839 NATURAL GAS NETWORK//COMPRESSOR STATION//GAS NETWORK
3 12459 DISTRIBUTED PARAMETER SYSTEMS//BOUNDARY CONTROL//BEIHANG UNIV
4 20824 IRRIGATION CANALS//CANAL AUTOMATION//CANALS
5 10371 DISCONTINUOUS FLUX//ENTROPY SOLUTION//DEGENERATE PARABOLIC HYPERBOLIC EQUATION
6 787 TRAFFIC FLOW//CAR FOLLOWING MODEL//THERMAL SCI
7 7223 CARLEMAN ESTIMATES//NULL CONTROLLABILITY//CARLEMAN INEQUALITIES
8 6944 EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE
9 31176 CONTINUOUS TIME LINEAR PROGRAMMING PROBLEMS//CONTINUOUS LINEAR PROGRAMMING//DYNAMIC NETWORK FLOWS
10 599 GENERAL DECAY//RELAXATION FUNCTION//ENERGY DECAY

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