Class information for:
Level 1: ASYMPTOTIC PRESERVING SCHEMES//GAS KINETIC SCHEME//BOLTZMANN MODEL EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13924 804 26.7 48%


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
18 4 THERMODYNAMICS//ENERGY & FUELS//ENGINEERING, CHEMICAL 531182
579 3       BOLTZMANN EQUATION//JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS//MAGNETOGASDYNAMICS 16197
1867 2             BOLTZMANN EQUATION//RAREFIED GAS//RAREFIED GAS DYNAMICS 6042
13924 1                   ASYMPTOTIC PRESERVING SCHEMES//GAS KINETIC SCHEME//BOLTZMANN MODEL EQUATION 804

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 ASYMPTOTIC PRESERVING SCHEMES authKW 733736 4% 60% 32
2 GAS KINETIC SCHEME authKW 676676 3% 64% 28
3 BOLTZMANN MODEL EQUATION authKW 496242 2% 93% 14
4 BOLTZMANN EQUATION authKW 361067 14% 9% 110
5 FLUID DYNAMIC LIMIT authKW 356031 2% 63% 15
6 KINETIC FLUID COUPLING authKW 341801 1% 100% 9
7 DISCRETE VELOCITY ORDINATE METHOD authKW 307619 1% 90% 9
8 BGK MODEL authKW 299050 3% 38% 21
9 ASYMPTOTIC PRESERVING authKW 294642 2% 52% 15
10 MICRO MACRO DECOMPOSITION authKW 271265 1% 71% 10

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 Physics, Mathematical 14810 38% 0% 305
2 Computer Science, Interdisciplinary Applications 10444 31% 0% 248
3 Mathematics, Applied 4124 29% 0% 233
4 Physics, Fluids & Plasmas 3205 16% 0% 127
5 Mechanics 2593 20% 0% 163
6 Mathematics, Interdisciplinary Applications 270 5% 0% 37
7 Mathematics 225 9% 0% 70
8 Engineering, Aerospace 161 2% 0% 19
9 Thermodynamics 37 2% 0% 19
10 Physics, Multidisciplinary 24 4% 0% 35

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 INSAUT1UTMCNRSUMR 5219 113934 0% 100% 3
2 SCI SIMULAT INFORMAT 105490 1% 56% 5
3 COMP MATH SCI CMS 75956 0% 100% 2
4 DEVISIS 75956 0% 100% 2
5 DOCD 75956 0% 100% 2
6 UPSINSAUT1UTMUMR 5219 75956 0% 100% 2
7 XPA 75956 0% 100% 2
8 DEV SIS 50636 0% 67% 2
9 MOE LSEC 50636 0% 67% 2
10 XHM 50636 0% 67% 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 JOURNAL OF COMPUTATIONAL PHYSICS 108055 22% 2% 178
2 KINETIC AND RELATED MODELS 34146 2% 5% 18
3 TRANSPORT THEORY AND STATISTICAL PHYSICS 19436 2% 3% 15
4 COMMUNICATIONS IN COMPUTATIONAL PHYSICS 16600 3% 2% 23
5 COMPUTERS & FLUIDS 9188 4% 1% 30
6 SIAM JOURNAL ON NUMERICAL ANALYSIS 7765 4% 1% 29
7 EUROPEAN JOURNAL OF MECHANICS B-FLUIDS 6511 2% 1% 17
8 COMMUNICATIONS IN MATHEMATICAL SCIENCES 6379 1% 2% 11
9 SIAM JOURNAL ON SCIENTIFIC COMPUTING 5781 3% 1% 23
10 USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 5064 1% 1% 10

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 ASYMPTOTIC PRESERVING SCHEMES 733736 4% 60% 32 Search ASYMPTOTIC+PRESERVING+SCHEMES Search ASYMPTOTIC+PRESERVING+SCHEMES
2 GAS KINETIC SCHEME 676676 3% 64% 28 Search GAS+KINETIC+SCHEME Search GAS+KINETIC+SCHEME
3 BOLTZMANN MODEL EQUATION 496242 2% 93% 14 Search BOLTZMANN+MODEL+EQUATION Search BOLTZMANN+MODEL+EQUATION
4 BOLTZMANN EQUATION 361067 14% 9% 110 Search BOLTZMANN+EQUATION Search BOLTZMANN+EQUATION
5 FLUID DYNAMIC LIMIT 356031 2% 63% 15 Search FLUID+DYNAMIC+LIMIT Search FLUID+DYNAMIC+LIMIT
6 KINETIC FLUID COUPLING 341801 1% 100% 9 Search KINETIC+FLUID+COUPLING Search KINETIC+FLUID+COUPLING
7 DISCRETE VELOCITY ORDINATE METHOD 307619 1% 90% 9 Search DISCRETE+VELOCITY+ORDINATE+METHOD Search DISCRETE+VELOCITY+ORDINATE+METHOD
8 BGK MODEL 299050 3% 38% 21 Search BGK+MODEL Search BGK+MODEL
9 ASYMPTOTIC PRESERVING 294642 2% 52% 15 Search ASYMPTOTIC+PRESERVING Search ASYMPTOTIC+PRESERVING
10 MICRO MACRO DECOMPOSITION 271265 1% 71% 10 Search MICRO+MACRO+DECOMPOSITION Search MICRO+MACRO+DECOMPOSITION

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 DIMARCO, G , PARESCHI, L , (2014) NUMERICAL METHODS FOR KINETIC EQUATIONS.ACTA NUMERICA. VOL. 23. ISSUE . P. 369 -520 108 64% 19
2 LIU, C , XU, K , SUN, QH , CAI, QD , (2016) A UNIFIED GAS-KINETIC SCHEME FOR CONTINUUM AND RAREFIED FLOWS IV: FULL BOLTZMANN AND MODEL EQUATIONS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 314. ISSUE . P. 305 -340 36 86% 2
3 MIEUSSENS, L , (2013) ON THE ASYMPTOTIC PRESERVING PROPERTY OF THE UNIFIED GAS KINETIC SCHEME FOR THE DIFFUSION LIMIT OF LINEAR KINETIC MODELS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 253. ISSUE . P. 138-156 28 93% 19
4 DIMARCO, G , LI, Q , PARESCHI, L , YAN, B , (2015) NUMERICAL METHODS FOR PLASMA PHYSICS IN COLLISIONAL REGIMES.JOURNAL OF PLASMA PHYSICS. VOL. 81. ISSUE . P. - 35 70% 2
5 XU, K , HUANG, JC , (2010) A UNIFIED GAS-KINETIC SCHEME FOR CONTINUUM AND RAREFIED FLOWS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 229. ISSUE 20. P. 7747-7764 22 85% 71
6 LI, ZH , ZHANG, HX , (2009) GAS-KINETIC NUMERICAL STUDIES OF THREE-DIMENSIONAL COMPLEX FLOWS ON SPACECRAFT RE-ENTRY.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 228. ISSUE 4. P. 1116-1138 25 83% 36
7 DIMARCO, G , PARESCHI, L , RISPOLI, V , (2014) IMPLICIT-EXPLICIT RUNGE-KUTTA SCHEMES FOR THE BOLTZMANN-POISSON SYSTEM FOR SEMICONDUCTORS.COMMUNICATIONS IN COMPUTATIONAL PHYSICS. VOL. 15. ISSUE 5. P. 1291 -1319 24 80% 3
8 CROUSEILLES, N , LEMOU, M , (2011) AN ASYMPTOTIC PRESERVING SCHEME BASED ON A MICRO-MACRO DECOMPOSITION FOR COLLISIONAL VLASOV EQUATIONS: DIFFUSION AND HIGH-FIELD SCALING LIMITS.KINETIC AND RELATED MODELS. VOL. 4. ISSUE 2. P. 441 -477 24 83% 12
9 KOLOBOV, VI , ARSLANBEKOV, RR , ARISTOV, VV , FROLOVA, AA , ZABELOK, SA , (2007) UNIFIED SOLVER FOR RAREFIED AND CONTINUUM FLOWS WITH ADAPTIVE MESH AND ALGORITHM REFINEMENT.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 223. ISSUE 2. P. 589-608 23 79% 113
10 DIMARCO, G , MIEUSSENS, L , RISPOLI, V , (2014) AN ASYMPTOTIC PRESERVING AUTOMATIC DOMAIN DECOMPOSITION METHOD FOR THE VLASOV-POISSON-BGK SYSTEM WITH APPLICATIONS TO PLASMAS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 274. ISSUE . P. 122 -139 25 74% 2

Classes with closest relation at Level 1


Rank Class id link
1 12855 RAREFIED GAS//RAREFIED GAS DYNAMICS//DISCRETE VELOCITY METHOD
2 5487 BOLTZMANN EQUATION//SOFT POTENTIALS//LANDAU EQUATION
3 10935 EXTENDED THERMODYNAMICS//BURNETT EQUATIONS//RAREFIED POLYATOMIC GAS
4 4240 HYPERBOLIC CONSERVATION LAWS//HIGH ORDER ACCURACY//WENO SCHEME
5 24268 ACCELERATING PACKING//BELITSKII LYUBICH CONJECTURE//PERTURBED HAMMERSTEIN INTEGRAL EQUATIONS
6 31416 FREE PISTON DRIVER//TUNED OPERATION//IMPULSE FACILITY
7 7764 EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE
8 16111 HALF FLUXES//MAXIMUM ENTROPY CLOSURE//M 1 MODEL
9 4154 JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER//AEROTHERMODYNAM BRANCH//JOURNAL OF SPACECRAFT AND ROCKETS
10 16950 TRANSPORT OPERATOR//FREDHOLM PERTURBATION//ANOMALOUS DIFFUSION LIMIT

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