Class information for:
Level 2: RUNGE KUTTA METHODS//GENERAL LINEAR METHODS//PHASE LAG

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1538 7453 21.2 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
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
7476 1                   GEOMETRIC INTEGRATION//SYMPLECTIC INTEGRATORS//SYMPLECTIC INTEGRATION 1363
9678 1                   PHASE LAG//EXPONENTIAL FITTING//MULTISTEP METHODS 1131
14918 1                   PANTOGRAPH EQUATION//BOUNDARY VALUE METHODS//NEUTRAL DELAY DIFFERENTIAL EQUATIONS 742
16120 1                   EXPONENTIAL INTEGRATORS//MATRIX FUNCTIONS//MATRIX EXPONENTIAL 672
18397 1                   DIFFERENTIAL ALGEBRAIC EQUATIONS//MATEMAT LICADA TECNOL INFORMAC//CONSISTENT INITIAL VALUES 553
20817 1                   INFORMATION METABOLISM//SPURIOUS SOLUTIONS//ASYMPTOTIC BEHAVIOR OF NUMERICAL SOLUTIONS 444
22112 1                   RESOLVENT CONDITION//KREISS MATRIX THEOREM//MAXIMUM NORM 392
24665 1                   AIR POLLUTION MODELS//TROTTER KATO PRODUCT FORMULA//OPERATOR NORM CONVERGENCE 305
32017 1                   GENERALIZED GREENS FUNCTION//MULTIRATE TIME STEPPING//OPERATOR DECOMPOSITION 145

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 RUNGE KUTTA METHODS authKW 654316 4% 57% 279
2 GENERAL LINEAR METHODS authKW 404165 1% 92% 107
3 PHASE LAG authKW 391772 2% 64% 149
4 MULTISTEP METHODS authKW 377028 2% 76% 121
5 ORDER CONDITIONS authKW 360802 1% 90% 98
6 EXPONENTIAL INTEGRATORS authKW 324165 1% 83% 95
7 EXPONENTIAL FITTING authKW 323289 1% 74% 107
8 APPLIED NUMERICAL MATHEMATICS journal 314012 6% 16% 475
9 INITIAL VALUE PROBLEMS authKW 286777 2% 40% 175
10 RUNGE KUTTA NYSTROM METHODS authKW 262325 1% 97% 66

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 210556 66% 1% 4921
2 Computer Science, Software Engineering 8222 8% 0% 603
3 Physics, Mathematical 7530 9% 0% 705
4 Computer Science, Interdisciplinary Applications 6673 9% 0% 642
5 Mathematics 4886 12% 0% 925
6 Mathematics, Interdisciplinary Applications 4767 6% 0% 459
7 Computer Science, Theory & Methods 1191 4% 0% 309
8 Engineering, General 637 3% 0% 205
9 Mechanics 513 4% 0% 293
10 Physics, Fluids & Plasmas 91 1% 0% 106

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 ECON MANAGEMENT INFORMAT 160523 1% 93% 42
2 KONPUTAZIO ZIENTZIAK ETA AA SAILA 65748 0% 94% 17
3 MATEMAT LICADA TECNOL INFORMAC 60550 0% 53% 28
4 INFORMAT FAK 54710 0% 64% 21
5 CPS INGN 54197 0% 88% 15
6 SECT MATH 47052 1% 11% 106
7 SCI COMPUTAT 46186 1% 10% 109
8 VAKGRP TOEGEPASTE WISKUNDE INFORMAT 45484 0% 56% 20
9 MATEMAT LICADA COMPUTAC 43677 0% 32% 33
10 MATH 28086 24% 0% 1754

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 314012 6% 16% 475
2 BIT NUMERICAL MATHEMATICS 223079 4% 19% 285
3 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 126891 8% 6% 561
4 SIAM JOURNAL ON NUMERICAL ANALYSIS 68883 4% 6% 263
5 IMA JOURNAL OF NUMERICAL ANALYSIS 66068 2% 11% 153
6 NUMERISCHE MATHEMATIK 63801 3% 7% 216
7 NUMERICAL ALGORITHMS 59275 2% 9% 161
8 BIT 47460 1% 18% 66
9 JOURNAL OF COMPUTATIONAL MATHEMATICS 28683 1% 7% 97
10 COMPUTERS & MATHEMATICS WITH APPLICATIONS 28348 3% 3% 259

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 RUNGE KUTTA METHODS 654316 4% 57% 279 Search RUNGE+KUTTA+METHODS Search RUNGE+KUTTA+METHODS
2 GENERAL LINEAR METHODS 404165 1% 92% 107 Search GENERAL+LINEAR+METHODS Search GENERAL+LINEAR+METHODS
3 PHASE LAG 391772 2% 64% 149 Search PHASE+LAG Search PHASE+LAG
4 MULTISTEP METHODS 377028 2% 76% 121 Search MULTISTEP+METHODS Search MULTISTEP+METHODS
5 ORDER CONDITIONS 360802 1% 90% 98 Search ORDER+CONDITIONS Search ORDER+CONDITIONS
6 EXPONENTIAL INTEGRATORS 324165 1% 83% 95 Search EXPONENTIAL+INTEGRATORS Search EXPONENTIAL+INTEGRATORS
7 EXPONENTIAL FITTING 323289 1% 74% 107 Search EXPONENTIAL+FITTING Search EXPONENTIAL+FITTING
8 INITIAL VALUE PROBLEMS 286777 2% 40% 175 Search INITIAL+VALUE+PROBLEMS Search INITIAL+VALUE+PROBLEMS
9 RUNGE KUTTA NYSTROM METHODS 262325 1% 97% 66 Search RUNGE+KUTTA+NYSTROM+METHODS Search RUNGE+KUTTA+NYSTROM+METHODS
10 DIFFERENTIAL ALGEBRAIC EQUATIONS 261296 3% 32% 199 Search DIFFERENTIAL+ALGEBRAIC+EQUATIONS Search DIFFERENTIAL+ALGEBRAIC+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 ALOLYAN, I , SIMOS, TE , (2017) NEW TWO STAGES HIGH ORDER SYMMETRIC SIX-STEP METHOD WITH VANISHED PHASE-LAG AND ITS FIRST, SECOND AND THIRD DERIVATIVES FOR THE NUMERICAL SOLUTION OF THE SCHRODINGER EQUATION.JOURNAL OF MATHEMATICAL CHEMISTRY. VOL. 55. ISSUE 2. P. 503 -531 123 100% 0
2 ALOLYAN, I , SIMOS, TE , (2017) A NEW TWO STAGES TENTH ALGEBRAIC ORDER SYMMETRIC SIX-STEP METHOD WITH VANISHED PHASE-LAG AND ITS FIRST AND SECOND DERIVATIVES FOR THE SOLUTION OF THE RADIAL SCHRODINGER EQUATION AND RELATED PROBLEMS.JOURNAL OF MATHEMATICAL CHEMISTRY. VOL. 55. ISSUE 1. P. 105 -131 120 100% 0
3 ALOLYAN, I , SIMOS, TE , (2011) A FAMILY OF EIGHT-STEP METHODS WITH VANISHED PHASE-LAG AND ITS DERIVATIVES FOR THE NUMERICAL INTEGRATION OF THE SCHRODINGER EQUATION.JOURNAL OF MATHEMATICAL CHEMISTRY. VOL. 49. ISSUE 3. P. 711 -764 129 99% 7
4 ALOLYAN, I , SIMOS, TE , (2016) A NEW EIGHT ALGEBRAIC ORDER EMBEDDED EXPLICIT SIX-STEP METHOD WITH VANISHED PHASE-LAG AND ITS FIRST, SECOND, THIRD AND FOURTH DERIVATIVES FOR THE NUMERICAL SOLUTION OF THE SCHRODINGER EQUATION.JOURNAL OF MATHEMATICAL CHEMISTRY. VOL. 54. ISSUE 8. P. 1696 -1727 111 100% 0
5 ALOLYAN, I , SIMOS, TE , (2016) A FAMILY OF TWO STAGES TENTH ALGEBRAIC ORDER SYMMETRIC SIX-STEP METHODS WITH VANISHED PHASE-LAG AND ITS FIRST DERIVATIVES FOR THE NUMERICAL SOLUTION OF THE RADIAL SCHRODINGER EQUATION AND RELATED PROBLEMS.JOURNAL OF MATHEMATICAL CHEMISTRY. VOL. 54. ISSUE 9. P. 1835 -1862 111 100% 0
6 ALOLYAN, I , SIMOS, T , (2010) MULITSTEP METHODS WITH VANISHED PHASE-LAG AND ITS FIRST AND SECOND DERIVATIVES FOR THE NUMERICAL INTEGRATION OF THE SCHRODINGER EQUATION.JOURNAL OF MATHEMATICAL CHEMISTRY. VOL. 48. ISSUE 4. P. 1092 -1143 124 100% 8
7 ALOLYAN, I , SIMOS, TE , (2016) A FAMILY OF EMBEDDED EXPLICIT SIX-STEP METHODS WITH VANISHED PHASE-LAG AND ITS DERIVATIVES FOR THE NUMERICAL INTEGRATION OF THE SCHRODINGER EQUATION: DEVELOPMENT AND THEORETICAL ANALYSIS.JOURNAL OF MATHEMATICAL CHEMISTRY. VOL. 54. ISSUE 5. P. 1159 -1186 108 100% 0
8 ALOLYAN, I , SIMOS, TE , (2016) AN IMPLICIT SYMMETRIC LINEAR SIX-STEP METHODS WITH VANISHED PHASE-LAG AND ITS FIRST, SECOND, THIRD AND FOURTH DERIVATIVES FOR THE NUMERICAL SOLUTION OF THE RADIAL SCHRODINGER EQUATION AND RELATED PROBLEMS.JOURNAL OF MATHEMATICAL CHEMISTRY. VOL. 54. ISSUE 4. P. 1010 -1040 108 100% 0
9 SIMOS, TE , (2015) A NEW EXPLICIT FOUR-STEP METHOD WITH VANISHED PHASE-LAG AND ITS FIRST AND SECOND DERIVATIVES.JOURNAL OF MATHEMATICAL CHEMISTRY. VOL. 53. ISSUE 1. P. 402 -429 108 100% 1
10 ALOLYAN, I , SIMOS, TE , (2016) FAMILY OF SYMMETRIC LINEAR SIX-STEP METHODS WITH VANISHED PHASE-LAG AND ITS DERIVATIVES AND THEIR APPLICATION TO THE RADIAL SCHRODINGER EQUATION AND RELATED PROBLEMS.JOURNAL OF MATHEMATICAL CHEMISTRY. VOL. 54. ISSUE 2. P. 466 -502 107 100% 0

Classes with closest relation at Level 2


Rank Class id link
1 2845 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//BLOCK PULSE FUNCTIONS
2 895 SHISHKIN MESH//SINGULAR PERTURBATION//MATHEMATICS, APPLIED
3 2408 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
4 939 DOMAIN DECOMPOSITION//PRECONDITIONER//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
5 1287 DIFFERENCE EQUATIONS//MILD SOLUTION//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
6 943 LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE
7 2872 HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC
8 458 DISCONTINUOUS GALERKIN METHOD//COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING//SUPERCONVERGENCE
9 2135 ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS
10 3169 OPTIMAL CONTROL//STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM

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