Class information for:
Level 1: HAMILTON JACOBI EQUATION//VISCOSITY SOLUTIONS//VISCOSITY SOLUTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5572 1604 20.5 43%


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
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
2434 2             HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS 4110
5572 1                   HAMILTON JACOBI EQUATION//VISCOSITY SOLUTIONS//VISCOSITY SOLUTION 1604

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 HAMILTON JACOBI EQUATION authKW 1607091 16% 33% 253
2 VISCOSITY SOLUTIONS authKW 760301 11% 22% 182
3 VISCOSITY SOLUTION authKW 573352 7% 25% 119
4 EIKONAL EQUATION authKW 408228 4% 30% 71
5 FAST SWEEPING METHOD authKW 279697 1% 64% 23
6 HAMILTON JACOBI BELLMAN EQUATION authKW 271102 5% 18% 79
7 EXIT TIME PROBLEMS authKW 210851 1% 92% 12
8 MINIMUM TIME FUNCTION authKW 191937 1% 92% 11
9 SEMICONCAVE FUNCTIONS authKW 189683 1% 59% 17
10 STATIC HAMILTON JACOBI EQUATIONS authKW 171318 1% 100% 9

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 42721 64% 0% 1029
2 Mathematics 13444 40% 0% 640
3 Automation & Control Systems 10815 17% 0% 276
4 Operations Research & Management Science 1650 8% 0% 123
5 COMPUTER APPLICATIONS & CYBERNETICS 251 0% 0% 6
6 Physics, Mathematical 216 4% 0% 63
7 Computer Science, Interdisciplinary Applications 171 3% 0% 55
8 Computer Science, Cybernetics 81 1% 0% 12
9 Robotics 56 1% 0% 10
10 Mathematics, Interdisciplinary Applications 45 2% 0% 27

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 RECH VIABIL 103634 0% 78% 7
2 RECH VIABIL JEUX CONTROLE 84789 0% 64% 7
3 PROJET COMMANDS 43257 0% 45% 5
4 DIPARTIMENTO MATEMAT P A 42828 0% 75% 3
5 OCTAV MAYER MATH 42385 1% 12% 19
6 BEPPO LEVI 38071 0% 100% 2
7 ERS2064 38071 0% 100% 2
8 IISC TIFR MATH PROGRAM 38071 0% 100% 2
9 LSP UMR C55830 38071 0% 100% 2
10 URAL POWER ENGN 38071 0% 100% 2

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 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 117570 9% 4% 150
2 APPLIED MATHEMATICS AND OPTIMIZATION 81078 4% 6% 69
3 SET-VALUED ANALYSIS 23319 1% 6% 20
4 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 21738 2% 4% 30
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 16325 6% 1% 102
6 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 12606 1% 3% 23
7 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 8592 3% 1% 48
8 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 7029 2% 1% 30
9 JOURNAL OF SCIENTIFIC COMPUTING 6895 1% 2% 23
10 SIAM JOURNAL ON SCIENTIFIC COMPUTING 5947 2% 1% 33

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 HAMILTON JACOBI EQUATION 1607091 16% 33% 253 Search HAMILTON+JACOBI+EQUATION Search HAMILTON+JACOBI+EQUATION
2 VISCOSITY SOLUTIONS 760301 11% 22% 182 Search VISCOSITY+SOLUTIONS Search VISCOSITY+SOLUTIONS
3 VISCOSITY SOLUTION 573352 7% 25% 119 Search VISCOSITY+SOLUTION Search VISCOSITY+SOLUTION
4 EIKONAL EQUATION 408228 4% 30% 71 Search EIKONAL+EQUATION Search EIKONAL+EQUATION
5 FAST SWEEPING METHOD 279697 1% 64% 23 Search FAST+SWEEPING+METHOD Search FAST+SWEEPING+METHOD
6 HAMILTON JACOBI BELLMAN EQUATION 271102 5% 18% 79 Search HAMILTON+JACOBI+BELLMAN+EQUATION Search HAMILTON+JACOBI+BELLMAN+EQUATION
7 EXIT TIME PROBLEMS 210851 1% 92% 12 Search EXIT+TIME+PROBLEMS Search EXIT+TIME+PROBLEMS
8 MINIMUM TIME FUNCTION 191937 1% 92% 11 Search MINIMUM+TIME+FUNCTION Search MINIMUM+TIME+FUNCTION
9 SEMICONCAVE FUNCTIONS 189683 1% 59% 17 Search SEMICONCAVE+FUNCTIONS Search SEMICONCAVE+FUNCTIONS
10 STATIC HAMILTON JACOBI EQUATIONS 171318 1% 100% 9 Search STATIC+HAMILTON+JACOBI+EQUATIONS Search STATIC+HAMILTON+JACOBI+EQUATIONS

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 BARDI, M , (1997) SOME APPLICATIONS OF VISCOSITY SOLUTIONS TO OPTIMAL CONTROL AND DIFFERENTIAL GAMES.VISCOSITY SOLUTIONS AND APPLICATIONS. VOL. 1660. ISSUE . P. 44 -97 56 93% 8
2 HERMOSILLA, C , ZIDANI, H , (2015) INFINITE HORIZON PROBLEMS ON STRATIFIABLE STATE-CONSTRAINTS SETS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 258. ISSUE 4. P. 1430 -1460 28 85% 4
3 FRANKOWSKA, H , MAZZOLA, M , (2013) DISCONTINUOUS SOLUTIONS OF HAMILTON-JACOBI-BELLMAN EQUATION UNDER STATE CONSTRAINTS.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 46. ISSUE 3-4. P. 725-747 23 100% 5
4 WU, L , ZHANG, YT , (2015) A THIRD ORDER FAST SWEEPING METHOD WITH LINEAR COMPUTATIONAL COMPLEXITY FOR EIKONAL EQUATIONS.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 62. ISSUE 1. P. 198 -229 24 92% 0
5 TAKEI, R , CHEN, W , CLAWSON, Z , KIROV, S , VLADIMIRSKY, A , (2015) OPTIMAL CONTROL WITH BUDGET CONSTRAINTS AND RESETS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 53. ISSUE 2. P. 712 -744 23 92% 0
6 CARJA, O , LAZU, AI , (2014) ON THE CONTINUITY OF THE STATE CONSTRAINED MINIMAL TIME FUNCTION.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE 48. P. - 23 92% 0
7 ZHANG, YT , CHEN, SQ , LI, FY , ZHAO, HK , SHU, CW , (2011) UNIFORMLY ACCURATE DISCONTINUOUS GALERKIN FAST SWEEPING METHODS FOR EIKONAL EQUATIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 33. ISSUE 4. P. 1873 -1896 25 89% 4
8 ALTAROVICI, A , BOKANOWSKI, O , ZIDANI, H , (2013) A GENERAL HAMILTON-JACOBI FRAMEWORK FOR NON-LINEAR STATE-CONSTRAINED CONTROL PROBLEMS.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. VOL. 19. ISSUE 2. P. 337 -357 23 92% 2
9 SWIECH, A , GOZZI, F , FABBRI, G , (2010) VERIFICATION THEOREM AND CONSTRUCTION OF EPSILON-OPTIMAL CONTROLS FOR CONTROL OF ABSTRACT EVOLUTION EQUATIONS.JOURNAL OF CONVEX ANALYSIS. VOL. 17. ISSUE 2. P. 611-642 28 80% 4
10 CHACON, A , VLADIMIRSKY, A , (2015) A PARALLEL TWO-SCALE METHOD FOR EIKONAL EQUATIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 37. ISSUE 1. P. A156 -A180 23 82% 3

Classes with closest relation at Level 1


Rank Class id link
1 13801 INFINITY LAPLACIAN//VISCOSITY SOLUTIONS//FULLY NONLINEAR EQUATIONS
2 14490 WEAK KAM THEORY//AUBRY MATHER THEORY//HAMILTON JACOBI EQUATION
3 19397 NORMAL NECESSARY CONDITIONS//DISCRETE APPROXIMATIONS//MIXED CONSTRAINTS
4 26505 SET OF TRAJECTORIES//ATTRACTION SET//INTEGRAL CONSTRAINT
5 34457 VIABILITY THEORY//CE P//DEMAND FOR CLIMATE PROTECTION
6 20476 OCCUPATIONAL MEASURES//CONTROL SETS//DIFFERENTIAL INCLUSIONS
7 26009 REGULAR SYNTHESIS//SINGULAR CHARACTERISTICS//FOLD AND SIMPLE CUSP SINGULARITIES
8 19552 SINGULAR STOCHASTIC CONTROL//PAIRS TRADING//OPTIMAL STOPPING
9 26586 MEAN FIELD GAMES//MEAN FIELD TYPE CONTROL//DYNAMIC BLOCKING PROBLEM
10 25711 MULTIGRID AND MULTILEVEL METHODS//WEIGHTED MAX NORM//GENERALIZED SCHWARZ ALGORITHMS

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