Class information for:
Level 1: FULLY NONLINEAR PDES//VANISHING MOMENT METHOD//ALEKSANDROV SOLUTION

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
24500 1                   FULLY NONLINEAR PDES//VANISHING MOMENT METHOD//ALEKSANDROV SOLUTION 333

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FULLY NONLINEAR PDES authKW 727031 4% 59% 13
2 VANISHING MOMENT METHOD authKW 567867 2% 100% 6
3 ALEKSANDROV SOLUTION authKW 378578 1% 100% 4
4 FUNDAMENTAL PL MATH ORAN LMFAO address 302861 1% 80% 4
5 MOMENT SOLUTIONS authKW 302861 1% 80% 4
6 NONLINEAR FINITE DIFFERENCE METHODS authKW 302861 1% 80% 4
7 MONOTONE APPROXIMATION SCHEMES authKW 283933 1% 100% 3
8 PARABOLIC QUASI VARIATIONAL INEQUALITIES authKW 283933 1% 100% 3
9 MONGE AMPERE EQUATION authKW 253841 8% 10% 26
10 FULLY NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS authKW 252383 1% 67% 4

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 12316 75% 0% 251
2 Mathematics 847 23% 0% 76
3 Automation & Control Systems 65 3% 0% 11
4 Mathematics, Interdisciplinary Applications 64 4% 0% 12
5 Engineering, General 27 3% 0% 9
6 Operations Research & Management Science 24 2% 0% 8
7 Mechanics 18 4% 0% 12
8 Statistics & Probability 13 2% 0% 7
9 Multidisciplinary Sciences 10 1% 0% 4
10 Physics, Mathematical 8 2% 0% 7

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FUNDAMENTAL PL MATH ORAN LMFAO 302861 1% 80% 4
2 189 94644 0% 100% 1
3 AEROSPACE ENGN ENGN MECH 94644 0% 100% 1
4 AR RAS 94644 0% 100% 1
5 CEA SERV MATH PL 94644 0% 100% 1
6 FINANCE RI 94644 0% 100% 1
7 FIRST FRG 94644 0% 100% 1
8 GF BAKER FDN 94644 0% 100% 1
9 LMFAO 94644 0% 100% 1
10 PLIED DYNAM OPTIMIZAT 94644 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 APPLIED MATHEMATICS AND OPTIMIZATION 14042 4% 1% 13
2 RAIRO-ANALYSE NUMERIQUE-NUMERICAL ANALYSIS 11663 1% 4% 3
3 NUMERISCHE MATHEMATIK 11242 6% 1% 19
4 SIAM JOURNAL ON NUMERICAL ANALYSIS 11002 7% 1% 22
5 JOURNAL OF SCIENTIFIC COMPUTING 7324 3% 1% 11
6 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 7067 4% 1% 12
7 ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 6980 3% 1% 10
8 MATHEMATICS OF COMPUTATION 2810 3% 0% 11
9 ACTA NUMERICA 2702 0% 3% 1
10 CALCOLO 2507 1% 1% 3

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 FULLY NONLINEAR PDES 727031 4% 59% 13 Search FULLY+NONLINEAR+PDES Search FULLY+NONLINEAR+PDES
2 VANISHING MOMENT METHOD 567867 2% 100% 6 Search VANISHING+MOMENT+METHOD Search VANISHING+MOMENT+METHOD
3 ALEKSANDROV SOLUTION 378578 1% 100% 4 Search ALEKSANDROV+SOLUTION Search ALEKSANDROV+SOLUTION
4 MOMENT SOLUTIONS 302861 1% 80% 4 Search MOMENT+SOLUTIONS Search MOMENT+SOLUTIONS
5 NONLINEAR FINITE DIFFERENCE METHODS 302861 1% 80% 4 Search NONLINEAR+FINITE+DIFFERENCE+METHODS Search NONLINEAR+FINITE+DIFFERENCE+METHODS
6 MONOTONE APPROXIMATION SCHEMES 283933 1% 100% 3 Search MONOTONE+APPROXIMATION+SCHEMES Search MONOTONE+APPROXIMATION+SCHEMES
7 PARABOLIC QUASI VARIATIONAL INEQUALITIES 283933 1% 100% 3 Search PARABOLIC+QUASI+VARIATIONAL+INEQUALITIES Search PARABOLIC+QUASI+VARIATIONAL+INEQUALITIES
8 MONGE AMPERE EQUATION 253841 8% 10% 26 Search MONGE+AMPERE+EQUATION Search MONGE+AMPERE+EQUATION
9 FULLY NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS 252383 1% 67% 4 Search FULLY+NONLINEAR+ELLIPTIC+PARTIAL+DIFFERENTIAL+EQUATIONS Search FULLY+NONLINEAR+ELLIPTIC+PARTIAL+DIFFERENTIAL+EQUATIONS
10 HAMILTON JACOBI BELLMAN EQUATION 250345 11% 8% 35 Search HAMILTON+JACOBI+BELLMAN+EQUATION Search HAMILTON+JACOBI+BELLMAN+EQUATION

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 11391 MONGE AMPERE EQUATION//FULLY NONLINEAR EQUATIONS//HESSIAN EQUATIONS
2 18761 FAST SWEEPING METHOD//EIKONAL EQUATION//HAMILTON JACOBI EQUATION
3 6236 VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//VISCOSITY SOLUTION
4 9105 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
5 22094 INFINITY LAPLACIAN//SUPREMAL FUNCTIONALS//TUG OF WAR GAMES
6 34463 BODY OF MINIMAL RESISTANCE//NEWTONS PROBLEM//PROBLEMS OF MINIMAL RESISTANCE
7 30423 NONZERO SOLUTION//MULTIPARAMETER VARIATIONAL INEQUALITY//FIXED POINT INDEX OF MULTIVALUED MAPPINGS
8 32579 HEAT CONVECTION EQUATION//METHOD OF CORRECTIONS//DISCONNECTED DOMAINS
9 21648 PAIRS TRADING//SINGULAR STOCHASTIC CONTROL//SELLING RULE
10 8942 MULTISPLITTING//MATRIX MULTISPLITTING//H MATRIX

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