Class information for:
Level 1: FAST AUTOMATIC DIFFERENTIATION//IMMISCIBLE COMPRESSIBLE//WATER HYDROGEN

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16906 628 20.5 37%


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
810 2             BLOW UP//GLOBAL EXISTENCE//MATHEMATICS, APPLIED 12005
16906 1                   FAST AUTOMATIC DIFFERENTIATION//IMMISCIBLE COMPRESSIBLE//WATER HYDROGEN 628

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 FAST AUTOMATIC DIFFERENTIATION authKW 486219 2% 100% 10
2 IMMISCIBLE COMPRESSIBLE authKW 291732 1% 100% 6
3 WATER HYDROGEN authKW 291732 1% 100% 6
4 GLOBAL PRESSURE authKW 281306 1% 64% 9
5 DEGENERATE SYSTEM authKW 246141 1% 56% 9
6 DYNAMIC CAPILLARY PRESSURE authKW 211388 2% 43% 10
7 FLUID DYNAM SEISM address 202590 1% 83% 5
8 COMPRESSIBLE IMMISCIBLE authKW 194488 1% 100% 4
9 MONOTONE MULTIGRID authKW 194488 1% 100% 4
10 MISCIBLE COMPRESSIBLE DISPLACEMENT authKW 173647 1% 71% 5

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 17251 65% 0% 409
2 Mathematics 3381 32% 0% 203
3 Mechanics 201 7% 0% 45
4 Computer Science, Interdisciplinary Applications 127 4% 0% 28
5 Mathematics, Interdisciplinary Applications 90 3% 0% 20
6 Physics, Mathematical 79 4% 0% 24
7 Limnology 55 1% 0% 8
8 Engineering, General 31 2% 0% 14
9 Physics, Fluids & Plasmas 19 2% 0% 12
10 Water Resources 17 2% 0% 13

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 FLUID DYNAM SEISM 202590 1% 83% 5
2 MCS ISTIL 97244 0% 100% 2
3 UMR 6632FST 97244 0% 100% 2
4 UMR 5142 76755 3% 9% 17
5 ANDRA DRD E 48622 0% 100% 1
6 ANGEW MATEMAT 48622 0% 100% 1
7 BORDEAUX ENSAM 48622 0% 100% 1
8 DPTO MATEMAT PLICADA 48622 0% 100% 1
9 FLUID DYNAM SEISM RAEP TOP 5 100 48622 0% 100% 1
10 FRE CNRS 2570 48622 0% 100% 1

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 COMPUTATIONAL GEOSCIENCES 23030 3% 3% 18
2 SIAM JOURNAL ON NUMERICAL ANALYSIS 15362 6% 1% 36
3 ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 8379 2% 1% 15
4 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 7573 4% 1% 24
5 NUMERISCHE MATHEMATIK 4688 3% 1% 17
6 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 4623 5% 0% 34
7 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 4054 2% 1% 12
8 RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 4044 1% 2% 4
9 JOURNAL OF DIFFERENTIAL EQUATIONS 3238 4% 0% 22
10 EUROPEAN JOURNAL OF APPLIED MATHEMATICS 2681 1% 1% 6

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 FAST AUTOMATIC DIFFERENTIATION 486219 2% 100% 10 Search FAST+AUTOMATIC+DIFFERENTIATION Search FAST+AUTOMATIC+DIFFERENTIATION
2 IMMISCIBLE COMPRESSIBLE 291732 1% 100% 6 Search IMMISCIBLE+COMPRESSIBLE Search IMMISCIBLE+COMPRESSIBLE
3 WATER HYDROGEN 291732 1% 100% 6 Search WATER+HYDROGEN Search WATER+HYDROGEN
4 GLOBAL PRESSURE 281306 1% 64% 9 Search GLOBAL+PRESSURE Search GLOBAL+PRESSURE
5 DEGENERATE SYSTEM 246141 1% 56% 9 Search DEGENERATE+SYSTEM Search DEGENERATE+SYSTEM
6 DYNAMIC CAPILLARY PRESSURE 211388 2% 43% 10 Search DYNAMIC+CAPILLARY+PRESSURE Search DYNAMIC+CAPILLARY+PRESSURE
7 COMPRESSIBLE IMMISCIBLE 194488 1% 100% 4 Search COMPRESSIBLE+IMMISCIBLE Search COMPRESSIBLE+IMMISCIBLE
8 MONOTONE MULTIGRID 194488 1% 100% 4 Search MONOTONE+MULTIGRID Search MONOTONE+MULTIGRID
9 MISCIBLE COMPRESSIBLE DISPLACEMENT 173647 1% 71% 5 Search MISCIBLE+COMPRESSIBLE+DISPLACEMENT Search MISCIBLE+COMPRESSIBLE+DISPLACEMENT
10 CONVECTION DIFFUSION WITH ADSORPTION 145866 0% 100% 3 Search CONVECTION+DIFFUSION+WITH+ADSORPTION Search CONVECTION+DIFFUSION+WITH+ADSORPTION

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 AMAZIANE, B , JURAK, M , VRBASKI, A , (2012) EXISTENCE FOR A GLOBAL PRESSURE FORMULATION OF WATER-GAS FLOW IN POROUS MEDIA.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. 1-22 26 96% 1
2 MAHIOUT, LA , AMAZIANE, B , MOKRANE, A , PANKRATOV, L , (2016) HOMOGENIZATION OF IMMISCIBLE COMPRESSIBLE TWO-PHASE FLOW IN DOUBLE POROSITY MEDIA.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 26 79% 0
3 AMAZIANE, B , PANKRATOV, L , PIATNITSKI, A , (2013) THE EXISTENCE OF WEAK SOLUTIONS TO IMMISCIBLE COMPRESSIBLE TWO-PHASE FLOW IN POROUS MEDIA: THE CASE OF FIELDS WITH DIFFERENT ROCK-TYPES.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 18. ISSUE 5. P. 1217-1251 21 100% 1
4 AMAZIANE, B , JURAK, M , KEKO, AZ , (2011) AN EXISTENCE RESULT FOR A COUPLED SYSTEM MODELING A FULLY EQUIVALENT GLOBAL PRESSURE FORMULATION FOR IMMISCIBLE COMPRESSIBLE TWO-PHASE FLOW IN POROUS MEDIA.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 250. ISSUE 3. P. 1685-1718 19 100% 11
5 AMAZIANE, B , ANTONTSEV, S , PANKRATOV, L , (2012) TIME OF COMPLETE DISPLACEMENT OF AN IMMISCIBLE COMPRESSIBLE FLUID BY WATER IN POROUS MEDIA: APPLICATION TO GAS MIGRATION IN A DEEP NUCLEAR WASTE REPOSITORY.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 13. ISSUE 5. P. 2144-2153 19 100% 0
6 AMAZIANE, B , PANKRATOV, L , (2016) HOMOGENIZATION OF COMPRESSIBLE TWO-PHASE TWO-COMPONENT FLOW IN POROUS MEDIA.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 30. ISSUE . P. 213 -235 18 82% 0
7 POP, IS , SCHWEIZER, B , (2011) REGULARIZATION SCHEMES FOR DEGENERATE RICHARDS EQUATIONS AND OUTFLOW CONDITIONS.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 21. ISSUE 8. P. 1685-1712 18 82% 5
8 VAN DUIJN, CJ , CAO, X , POP, IS , (2016) TWO-PHASE FLOW IN POROUS MEDIA: DYNAMIC CAPILLARITY AND HETEROGENEOUS MEDIA.TRANSPORT IN POROUS MEDIA. VOL. 114. ISSUE 2. P. 283 -308 15 79% 1
9 AMAZIANE, B , PANKRATOV, L , PIATNITSKI, A , (2014) HOMOGENIZATION OF IMMISCIBLE COMPRESSIBLE TWO-PHASE FLOW IN HIGHLY HETEROGENEOUS POROUS MEDIA WITH DISCONTINUOUS CAPILLARY PRESSURES.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 24. ISSUE 7. P. 1421-1451 16 80% 2
10 AMAZIANE, B , JURAK, M , VRBASKI, A , (2013) HOMOGENIZATION RESULTS FOR A COUPLED SYSTEM MODELLING IMMISCIBLE COMPRESSIBLE TWO-PHASE FLOW IN POROUS MEDIA BY THE CONCEPT OF GLOBAL PRESSURE.APPLICABLE ANALYSIS. VOL. 92. ISSUE 7. P. 1417-1433 14 93% 3

Classes with closest relation at Level 1


Rank Class id link
1 15951 DISCONTINUOUS FLUX//ENTROPY SOLUTION//CONSERVATION LAWS
2 7592 VERY SINGULAR SOLUTION//FAST DIFFUSION//POROUS MEDIUM EQUATION
3 8961 FINITE VOLUME ELEMENT METHOD//CHARACTERISTIC METHODS//EULERIAN LAGRANGIAN METHOD
4 10113 DISCRETE MAXIMUM PRINCIPLE//MIMETIC FINITE DIFFERENCES//MIMETIC FINITE DIFFERENCE METHOD
5 24262 UNCONFINED SEEPAGE//COMPOSITION DUALITY METHODS//EVOLUTION MIXED VARIATIONAL INCLUSIONS
6 5488 TWO SCALE CONVERGENCE//HOMOGENIZATION//PERFORATED DOMAINS
7 11994 RICHARDS EQUATION//GREEN AMPT//UNSATURATED FLOW
8 25451 SPREADING VANISHING DICHOTOMY//GLOBAL FAST SOLUTION//SPREADING AND VANISHING
9 25711 MULTIGRID AND MULTILEVEL METHODS//WEIGHTED MAX NORM//GENERALIZED SCHWARZ ALGORITHMS
10 23800 ABSOLUTE NEIGHBORHOOD MULTI RETRACTS//NON CLASSICAL HEAT EQUATION//MOVABLE SPACE

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