Class information for:
Level 1: GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4898 1706 18.4 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
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
1538 2             RUNGE KUTTA METHODS//GENERAL LINEAR METHODS//PHASE LAG 7453
4898 1                   GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS 1706

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 GENERAL LINEAR METHODS authKW 755942 4% 60% 70
2 RUNGE KUTTA METHODS authKW 546799 7% 25% 122
3 ORDER CONDITIONS authKW 410429 3% 46% 50
4 TWO STEP RUNGE KUTTA METHODS authKW 407709 2% 84% 27
5 STIFF INITIAL VALUE PROBLEMS authKW 358350 2% 69% 29
6 A STABILITY authKW 353510 3% 45% 44
7 STIFF PROBLEMS authKW 336844 2% 47% 40
8 LOCAL ERROR ESTIMATION authKW 292310 1% 78% 21
9 STARTING ALGORITHMS authKW 286353 1% 100% 16
10 APPLIED NUMERICAL MATHEMATICS journal 226777 11% 7% 193

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 71022 80% 0% 1362
2 Computer Science, Software Engineering 6079 14% 0% 241
3 Computer Science, Theory & Methods 795 7% 0% 112
4 Computer Science, Interdisciplinary Applications 485 5% 0% 88
5 Mathematics 218 6% 0% 110
6 Physics, Mathematical 189 4% 0% 62
7 Engineering, General 146 3% 0% 47
8 Mathematics, Interdisciplinary Applications 131 2% 0% 42
9 Mechanics 85 4% 0% 60
10 Engineering, Aerospace 13 1% 0% 11

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 CEMAT 46283 1% 12% 22
2 NUMER ANAL DATAL 35794 0% 100% 2
3 COMPUTAT METHODS SIMULAT BRANCH 23861 0% 67% 2
4 INFORMAT TECHNOL SCI QUANTITAT 23861 0% 67% 2
5 AG 12 17897 0% 100% 1
6 BHEREICH MATH INFORMAT 17897 0% 100% 1
7 CHAIR NUMER 17897 0% 100% 1
8 CHAIR PARALLEL DISTRIBUTED SYST 17897 0% 100% 1
9 COMP MATH L316 17897 0% 100% 1
10 DEKEKIA TGA 1010 17897 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 APPLIED NUMERICAL MATHEMATICS 226777 11% 7% 193
2 BIT NUMERICAL MATHEMATICS 140090 6% 7% 108
3 BIT 72521 2% 10% 39
4 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 52836 10% 2% 173
5 NUMERICAL ALGORITHMS 36040 4% 3% 60
6 NUMERISCHE MATHEMATIK 32787 4% 2% 74
7 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 29837 3% 4% 44
8 COMPUTING 27219 3% 3% 53
9 IMA JOURNAL OF NUMERICAL ANALYSIS 26119 3% 3% 46
10 SIAM JOURNAL ON NUMERICAL ANALYSIS 24509 4% 2% 75

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 GENERAL LINEAR METHODS 755942 4% 60% 70 Search GENERAL+LINEAR+METHODS Search GENERAL+LINEAR+METHODS
2 RUNGE KUTTA METHODS 546799 7% 25% 122 Search RUNGE+KUTTA+METHODS Search RUNGE+KUTTA+METHODS
3 ORDER CONDITIONS 410429 3% 46% 50 Search ORDER+CONDITIONS Search ORDER+CONDITIONS
4 TWO STEP RUNGE KUTTA METHODS 407709 2% 84% 27 Search TWO+STEP+RUNGE+KUTTA+METHODS Search TWO+STEP+RUNGE+KUTTA+METHODS
5 STIFF INITIAL VALUE PROBLEMS 358350 2% 69% 29 Search STIFF+INITIAL+VALUE+PROBLEMS Search STIFF+INITIAL+VALUE+PROBLEMS
6 A STABILITY 353510 3% 45% 44 Search A+STABILITY Search A+STABILITY
7 STIFF PROBLEMS 336844 2% 47% 40 Search STIFF+PROBLEMS Search STIFF+PROBLEMS
8 LOCAL ERROR ESTIMATION 292310 1% 78% 21 Search LOCAL+ERROR+ESTIMATION Search LOCAL+ERROR+ESTIMATION
9 STARTING ALGORITHMS 286353 1% 100% 16 Search STARTING+ALGORITHMS Search STARTING+ALGORITHMS
10 STIFF ODES 215150 1% 52% 23 Search STIFF+ODES Search STIFF+ODES

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 KULIKOV, GY , WEINER, R , (2015) A SINGLY DIAGONALLY IMPLICIT TWO-STEP PEER TRIPLE WITH GLOBAL ERROR CONTROL FOR STIFF ORDINARY DIFFERENTIAL EQUATIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 37. ISSUE 3. P. A1593 -A1613 40 98% 1
2 CARDONE, A , JACKIEWICZ, Z , VERNER, JH , WELFERT, B , (2015) ORDER CONDITIONS FOR GENERAL LINEAR METHODS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 290. ISSUE . P. 44 -64 43 88% 0
3 KULIKOV, GY , (2013) CHEAP GLOBAL ERROR ESTIMATION IN SOME RUNGE-KUTTA PAIRS.IMA JOURNAL OF NUMERICAL ANALYSIS. VOL. 33. ISSUE 1. P. 136 -163 35 100% 14
4 KULIKOV, GY , (2013) ADAPTIVE NORDSIECK FORMULAS WITH ADVANCED GLOBAL ERROR CONTROL MECHANISMS.RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING. VOL. 28. ISSUE 4. P. 321-352 36 100% 2
5 WEINER, R , KULIKOV, GY , (2014) EFFICIENT ERROR CONTROL IN NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS AND OPTIMAL INTERPOLATING VARIABLE-STEPSIZE PEER METHODS.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 54. ISSUE 4. P. 604 -619 34 100% 0
6 WEINER, R , KULIKOV, GY , (2014) LOCAL AND GLOBAL ERROR ESTIMATION AND CONTROL WITHIN EXPLICIT TWO-STEP PEER TRIPLES.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 262. ISSUE . P. 261-270 33 97% 4
7 BRAS, M , JACKIEWICZ, Z , (2014) SEARCH FOR EFFICIENT GENERAL LINEAR METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 262. ISSUE . P. 180-192 32 97% 0
8 KULIKOV, GY , (2012) GLOBAL ERROR CONTROL IN ADAPTIVE NORDSIECK METHODS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 34. ISSUE 2. P. A839 -A860 29 100% 5
9 BRAS, M , IZZO, G , JACKIEWICZ, Z , (2017) ACCURATE IMPLICIT-EXPLICIT GENERAL LINEAR METHODS WITH INHERENT RUNGE-KUTTA STABILITY.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 70. ISSUE 3. P. 1105 -1143 28 90% 0
10 ABDI, A , (2016) CONSTRUCTION OF HIGH-ORDER QUADRATICALLY STABLE SECOND-DERIVATIVE GENERAL LINEAR METHODS FOR THE NUMERICAL INTEGRATION OF STIFF ODES.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 303. ISSUE . P. 218 -228 24 96% 1

Classes with closest relation at Level 1


Rank Class id link
1 32017 GENERALIZED GREENS FUNCTION//MULTIRATE TIME STEPPING//OPERATOR DECOMPOSITION
2 14918 PANTOGRAPH EQUATION//BOUNDARY VALUE METHODS//NEUTRAL DELAY DIFFERENTIAL EQUATIONS
3 9678 PHASE LAG//EXPONENTIAL FITTING//MULTISTEP METHODS
4 34256 ASYMPTOTIC NATURE//EXTENDED REAL STABILITY BOUNDARIES//LAMBERTS METHOD
5 22112 RESOLVENT CONDITION//KREISS MATRIX THEOREM//MAXIMUM NORM
6 24665 AIR POLLUTION MODELS//TROTTER KATO PRODUCT FORMULA//OPERATOR NORM CONVERGENCE
7 18733 ORTHOGONAL SPLINE COLLOCATION//MATRIX DECOMPOSITION ALGORITHMS//ALMOST BLOCK DIAGONAL SYSTEMS
8 16120 EXPONENTIAL INTEGRATORS//MATRIX FUNCTIONS//MATRIX EXPONENTIAL
9 7476 GEOMETRIC INTEGRATION//SYMPLECTIC INTEGRATORS//SYMPLECTIC INTEGRATION
10 18397 DIFFERENTIAL ALGEBRAIC EQUATIONS//MATEMAT LICADA TECNOL INFORMAC//CONSISTENT INITIAL VALUES

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