Class information for:
Level 1: AIR POLLUTION MODELS//TROTTER KATO PRODUCT FORMULA//OPERATOR NORM CONVERGENCE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24665 305 20.3 34%


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
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
1538 2             RUNGE KUTTA METHODS//GENERAL LINEAR METHODS//PHASE LAG 7453
24665 1                   AIR POLLUTION MODELS//TROTTER KATO PRODUCT FORMULA//OPERATOR NORM CONVERGENCE 305

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 AIR POLLUTION MODELS authKW 554473 4% 46% 12
2 TROTTER KATO PRODUCT FORMULA authKW 545070 2% 78% 7
3 OPERATOR NORM CONVERGENCE authKW 500577 2% 100% 5
4 TROTTER PRODUCT FORMULA authKW 477012 3% 53% 9
5 EQUIPE ANAL SPE ALE address 408799 2% 58% 7
6 LOCAL SPLITTING ERROR authKW 400462 1% 100% 4
7 DANISH EULERIAN MODEL authKW 300346 1% 100% 3
8 GRIBOV OPERATOR authKW 300346 1% 100% 3
9 QUASI SECTORIAL CONTRACTIONS authKW 300346 1% 100% 3
10 TROTTER KATO FORMULA authKW 300346 1% 100% 3

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 2665 37% 0% 114
2 Mathematics 1587 32% 0% 97
3 Physics, Mathematical 439 11% 0% 34
4 Computer Science, Theory & Methods 398 10% 0% 32
5 Computer Science, Hardware & Architecture 180 5% 0% 14
6 Computer Science, Interdisciplinary Applications 150 7% 0% 20
7 Computer Science, Software Engineering 131 5% 0% 16
8 Environmental Sciences 101 10% 0% 32
9 Meteorology & Atmospheric Sciences 81 5% 0% 16
10 COMPUTER APPLICATIONS & CYBERNETICS 36 0% 0% 1

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 EQUIPE ANAL SPE ALE 408799 2% 58% 7
2 PL ANAL COMPUTAT MATH 297291 5% 21% 14
3 AGCY ENVIRONM PROTECT AIR POLLUT 100115 0% 100% 1
4 CENT PARALLEL PROCESSING 100115 0% 100% 1
5 ELTE GRP NUMER ANAL LARGE NETWORKS 100115 0% 100% 1
6 EONI ANDROMEDA 1 100115 0% 100% 1
7 GLUSHKOV PROSP 100115 0% 100% 1
8 PHYS PL PNYS ASTRON 100115 0% 100% 1
9 URA 2053 MATH 100115 0% 100% 1
10 DANISH COMP EDUC 56310 1% 19% 3

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 INTERNATIONAL JOURNAL OF ENVIRONMENT AND POLLUTION 11604 5% 1% 14
2 SUPERCOMPUTER 9942 1% 2% 4
3 ANALYSIS AND MATHEMATICAL PHYSICS 3706 0% 4% 1
4 INTEGRAL EQUATIONS AND OPERATOR THEORY 3617 3% 0% 9
5 JOURNAL OF FUNCTIONAL ANALYSIS 3006 5% 0% 14
6 COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A 2882 1% 1% 3
7 COMPUTERS & MATHEMATICS WITH APPLICATIONS 2660 5% 0% 16
8 IDOJARAS 1940 1% 1% 2
9 CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 1855 1% 0% 4
10 COMMUNICATIONS IN MATHEMATICAL PHYSICS 1756 4% 0% 12

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 AIR POLLUTION MODELS 554473 4% 46% 12 Search AIR+POLLUTION+MODELS Search AIR+POLLUTION+MODELS
2 TROTTER KATO PRODUCT FORMULA 545070 2% 78% 7 Search TROTTER+KATO+PRODUCT+FORMULA Search TROTTER+KATO+PRODUCT+FORMULA
3 OPERATOR NORM CONVERGENCE 500577 2% 100% 5 Search OPERATOR+NORM+CONVERGENCE Search OPERATOR+NORM+CONVERGENCE
4 TROTTER PRODUCT FORMULA 477012 3% 53% 9 Search TROTTER+PRODUCT+FORMULA Search TROTTER+PRODUCT+FORMULA
5 LOCAL SPLITTING ERROR 400462 1% 100% 4 Search LOCAL+SPLITTING+ERROR Search LOCAL+SPLITTING+ERROR
6 DANISH EULERIAN MODEL 300346 1% 100% 3 Search DANISH+EULERIAN+MODEL Search DANISH+EULERIAN+MODEL
7 GRIBOV OPERATOR 300346 1% 100% 3 Search GRIBOV+OPERATOR Search GRIBOV+OPERATOR
8 QUASI SECTORIAL CONTRACTIONS 300346 1% 100% 3 Search QUASI+SECTORIAL+CONTRACTIONS Search QUASI+SECTORIAL+CONTRACTIONS
9 TROTTER KATO FORMULA 300346 1% 100% 3 Search TROTTER+KATO+FORMULA Search TROTTER+KATO+FORMULA
10 LAGUERRE ENTIRE FUNCTIONS 225258 1% 75% 3 Search LAGUERRE+ENTIRE+FUNCTIONS Search LAGUERRE+ENTIRE+FUNCTIONS

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 ZLATEV, Z , DIMOV, I , FARAGO, I , GEORGIEV, K , HAVASI, A , (2017) STABILITY OF THE RICHARDSON EXTRAPOLATION COMBINED WITH SOME IMPLICIT RUNGE-KUTTA METHODS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 310. ISSUE . P. 224 -240 12 100% 0
2 INTISSAR, A , (2005) APPROXIMATION OF THE SEMIGROUP GENERATED BY THE HAMILTONIAN OF REGGEON FIELD THEORY IN BARGMANN SPACE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 305. ISSUE 2. P. 669-689 17 94% 2
3 ICHINOSE, T , TAMURA, H , (2004) SHARP ERROR BOUND ON NORM CONVERGENCE OF EXPONENTIAL PRODUCT FORMULA AND APPROXIMATION TO KERNELS OF SCHRODINGER SEMIGROUPS.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. VOL. 29. ISSUE 11-12. P. 1905-1918 13 100% 6
4 BATKAI, A , CSOMOS, P , FARKAS, B , NICKEL, G , (2011) OPERATOR SPLITTING FOR NON-AUTONOMOUS EVOLUTION EQUATIONS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 260. ISSUE 7. P. 2163 -2190 14 74% 4
5 ZLATEV, Z , GEORGIEV, K , DIMOV, I , (2013) INFLUENCE OF CLIMATIC CHANGES ON POLLUTION LEVELS IN THE BALKAN PENINSULA.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 65. ISSUE 3. P. 544 -562 14 64% 5
6 ICHINOSE, T , TAMURA, H , (2002) ON THE NORM CONVERGENCE OF THE SELF-ADJOINT TROTTER-KATO PRODUCT FORMULA WITH ERROR BOUND.PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES. VOL. 112. ISSUE 1. P. 99 -106 14 88% 1
7 BROWN, J , WASNIEWSKI, J , ZLATEV, Z , (1995) RUNNING AIR-POLLUTION MODELS ON MASSIVELY-PARALLEL MACHINES.PARALLEL COMPUTING. VOL. 21. ISSUE 6. P. 971-991 17 89% 3
8 GEORGIEV, K , ZLATEV, Z , (2011) STUDYING AIR POLLUTION LEVELS IN THE BALKAN PENINSULA AREA BY USING AN IBM BLUE GENE/P COMPUTER.INTERNATIONAL JOURNAL OF ENVIRONMENT AND POLLUTION. VOL. 46. ISSUE 1-2. P. 97-114 9 100% 0
9 ZLATEV, Z , WASNIEWSKI, J , (1994) RUNNING AIR-POLLUTION MODELS ON THE CONNECTION MACHINE.MATHEMATICAL AND COMPUTER MODELLING. VOL. 20. ISSUE 6. P. 1-17 16 94% 0
10 ZLATEV, Z , HAVASI, A , FARAGO, I , (2011) INFLUENCE OF CLIMATIC CHANGES ON POLLUTION LEVELS IN HUNGARY AND SURROUNDING COUNTRIES.ATMOSPHERE. VOL. 2. ISSUE 3. P. 201-221 11 73% 4

Classes with closest relation at Level 1


Rank Class id link
1 35415 US EPA MODELS 3 SYSTEM//METEOROL HYDROL//ACCUMULATED DEPOSITION
2 32017 GENERALIZED GREENS FUNCTION//MULTIRATE TIME STEPPING//OPERATOR DECOMPOSITION
3 22112 RESOLVENT CONDITION//KREISS MATRIX THEOREM//MAXIMUM NORM
4 4898 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS
5 1404 AIR QUALITY MODELING//CMAQ//ATMOSPHERIC ENVIRONMENT
6 7476 GEOMETRIC INTEGRATION//SYMPLECTIC INTEGRATORS//SYMPLECTIC INTEGRATION
7 25094 INTRINSIC PARALLELISM//INTEGRAL MEAN METHOD//DOMAIN DECOMPOSITION PROCEDURES
8 34256 ASYMPTOTIC NATURE//EXTENDED REAL STABILITY BOUNDARIES//LAMBERTS METHOD
9 20342 ETEX//ANATEX//LONG RANGE DISPERSION
10 35517 COMPLEX AUTOMATA//DISTRIBUTED MULTISCALE COMPUTING//HPC INFRASTRUCTURE

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