Class information for:
Level 1: INFORMATION METABOLISM//SPURIOUS SOLUTIONS//ASYMPTOTIC BEHAVIOR OF NUMERICAL SOLUTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20817 444 18.9 36%


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
20817 1                   INFORMATION METABOLISM//SPURIOUS SOLUTIONS//ASYMPTOTIC BEHAVIOR OF NUMERICAL SOLUTIONS 444

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 INFORMATION METABOLISM authKW 286550 1% 83% 5
2 SPURIOUS SOLUTIONS authKW 194162 3% 24% 12
3 ASYMPTOTIC BEHAVIOR OF NUMERICAL SOLUTIONS authKW 137545 0% 100% 2
4 ATTRACTIVE INVARIANT CURVES authKW 137545 0% 100% 2
5 BI SHADOWING authKW 137545 0% 100% 2
6 CUPOLETS authKW 137545 0% 100% 2
7 GRADIENT DIFFERENTIAL EQUATION authKW 137545 0% 100% 2
8 NUMERICAL ONE STEP APPROXIMATION authKW 137545 0% 100% 2
9 ONE STEP DISCRETIZATION authKW 137545 0% 100% 2
10 SEMIHYPERBOLICITY authKW 137545 0% 100% 2

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 8682 55% 0% 245
2 Physics, Mathematical 1178 15% 0% 66
3 Mathematics 1010 22% 0% 96
4 Mathematics, Interdisciplinary Applications 299 6% 0% 28
5 Computer Science, Interdisciplinary Applications 233 7% 0% 30
6 Physics, Multidisciplinary 181 11% 0% 48
7 COMPUTER APPLICATIONS & CYBERNETICS 101 0% 0% 2
8 Computer Science, Software Engineering 59 3% 0% 14
9 Mechanics 57 5% 0% 22
10 Physics, Fluids & Plasmas 51 3% 0% 14

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 ESTUDIOS AVANZADOS OPT 78591 1% 29% 4
2 CHAIR ROBOT MECH 68772 0% 100% 1
3 CIENCIAS ECUAC FUNCIONALES 68772 0% 100% 1
4 ELE OTECH AUTOMAT COMP SCI BIOMED ENGN 68772 0% 100% 1
5 PARAMETR CONTROL 68772 0% 100% 1
6 SHANGHAI TEACHERS UNIV MATH 68772 0% 100% 1
7 UTBM SYST TRANSPORTS 68772 0% 100% 1
8 INTEGRATED PL MATH PROGRAM 68770 0% 50% 2
9 CHAIR PL COMP SCI 55016 0% 40% 2
10 CFD BRANCH 22923 0% 33% 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 IMA JOURNAL OF NUMERICAL ANALYSIS 9301 3% 1% 14
2 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 3555 2% 1% 9
3 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 3178 4% 0% 16
4 APPLIED NUMERICAL MATHEMATICS 2813 2% 0% 11
5 JOURNAL OF NONLINEAR SCIENCE 2719 1% 1% 5
6 JOURNAL OF COMPUTATIONAL PHYSICS 2691 5% 0% 21
7 NUMERISCHE MATHEMATIK 2291 2% 0% 10
8 SIAM JOURNAL ON NUMERICAL ANALYSIS 2016 2% 0% 11
9 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 2015 1% 1% 5
10 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 1716 4% 0% 16

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 INFORMATION METABOLISM 286550 1% 83% 5 Search INFORMATION+METABOLISM Search INFORMATION+METABOLISM
2 SPURIOUS SOLUTIONS 194162 3% 24% 12 Search SPURIOUS+SOLUTIONS Search SPURIOUS+SOLUTIONS
3 ASYMPTOTIC BEHAVIOR OF NUMERICAL SOLUTIONS 137545 0% 100% 2 Search ASYMPTOTIC+BEHAVIOR+OF+NUMERICAL+SOLUTIONS Search ASYMPTOTIC+BEHAVIOR+OF+NUMERICAL+SOLUTIONS
4 ATTRACTIVE INVARIANT CURVES 137545 0% 100% 2 Search ATTRACTIVE+INVARIANT+CURVES Search ATTRACTIVE+INVARIANT+CURVES
5 BI SHADOWING 137545 0% 100% 2 Search BI+SHADOWING Search BI+SHADOWING
6 CUPOLETS 137545 0% 100% 2 Search CUPOLETS Search CUPOLETS
7 GRADIENT DIFFERENTIAL EQUATION 137545 0% 100% 2 Search GRADIENT+DIFFERENTIAL+EQUATION Search GRADIENT+DIFFERENTIAL+EQUATION
8 NUMERICAL ONE STEP APPROXIMATION 137545 0% 100% 2 Search NUMERICAL+ONE+STEP+APPROXIMATION Search NUMERICAL+ONE+STEP+APPROXIMATION
9 ONE STEP DISCRETIZATION 137545 0% 100% 2 Search ONE+STEP+DISCRETIZATION Search ONE+STEP+DISCRETIZATION
10 SEMIHYPERBOLICITY 137545 0% 100% 2 Search SEMIHYPERBOLICITY Search SEMIHYPERBOLICITY

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 KOZYAKIN, VS , KUZNETSOV, NA , (2007) FEASIBILITY OF NUMERICAL MODELLING: INFORMATION ASPECT.AUTOMATION AND REMOTE CONTROL. VOL. 68. ISSUE 12. P. 2228-2270 19 79% 0
2 DIAMOND, P , VLADIMIROV, I , (2002) SET-VALUED MARKOV CHAINS AND NEGATIVE SEMITRAJECTORIES OF DISCRETIZED DYNAMICAL SYSTEMS.JOURNAL OF NONLINEAR SCIENCE. VOL. 12. ISSUE 2. P. 113 -141 21 75% 0
3 VADILLO, F , (1997) ON SPURIOUS FIXED POINTS OF RUNGE-KUTTA METHODS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 132. ISSUE 1. P. 78 -90 18 100% 3
4 VARSAKELIS, C , ANAGNOSTIDIS, P , (2016) ON THE SUSCEPTIBILITY OF NUMERICAL METHODS TO COMPUTATIONAL CHAOS AND SUPERSTABILITY.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 33. ISSUE . P. 118 -132 16 64% 0
5 FOSTER, A , KHUMALO, M , (2011) TRANSFORMATION OF LOCAL BIFURCATIONS UNDER COLLOCATION METHODS.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 48. ISSUE 6. P. 1101-1123 13 87% 1
6 GUIHENEUF, PA , (2015) DYNAMICAL PROPERTIES OF SPATIAL DISCRETIZATIONS OF A GENERIC HOMEOMORPHISM.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 35. ISSUE . P. 1474 -1523 16 62% 0
7 DJIDJELI, K , PRICE, WG , TEMAREL, P , TWIZELL, EH , (1998) PARTIALLY IMPLICIT SCHEMES FOR THE NUMERICAL SOLUTIONS OF SOME NON-LINEAR DIFFERENTIAL EQUATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 96. ISSUE 2-3. P. 177-207 14 100% 3
8 DIAMOND, P , VLADIMIROV, I , (2002) BRANCHING PROCESSES AND COMPUTATIONAL COLLAPSE OF DISCRETIZED UNIMODAL MAPPINGS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 12. ISSUE 12. P. 2847-2867 12 100% 0
9 HAYES, WB , JACKSON, KR , (2003) RIGOROUS SHADOWING OF NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS BY CONTAINMENT.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 41. ISSUE 5. P. 1948-1973 13 81% 5
10 XIAO, AG , TANG, YF , (2001) REGULARITY PROPERTIES OF ONE-LEG METHODS FOR DELAY DIFFERENTIAL EQUATIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 41. ISSUE 3-4. P. 363-372 11 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 14916 CONLEY INDEX//RIGOROUS NUMERICS//COMPUTER ASSISTED PROOF
2 22156 NONSTANDARD FINITE DIFFERENCE SCHEMES//NONSTANDARD FINITE DIFFERENCE METHOD//BURGERS HUXLEY EQUATION
3 18169 STRANGE NONCHAOTIC ATTRACTORS//QUASIPERIODICALLY FORCED SYSTEMS//ARNOLD RESONANCE WEB
4 37569 COSYMMETRY//FAMILY OF EQUILIBRIA//FAMILIES OF EQUILIBRIA
5 7476 GEOMETRIC INTEGRATION//SYMPLECTIC INTEGRATORS//SYMPLECTIC INTEGRATION
6 35961 GENERAL SYSTEM LOGICAL THEORY//FRACTALS AND STATISTICAL NORMAL DISTRIBUTION//GOLDEN MEAN AND FRACTAL FLUCTUATIONS
7 34747 ASYMPTOTIC ANALYSIS ON THE LATTICE//ASYMPTOTICALLY EXACT REDUCTION METHOD//BIATOMIC LATTICES
8 14918 PANTOGRAPH EQUATION//BOUNDARY VALUE METHODS//NEUTRAL DELAY DIFFERENTIAL EQUATIONS
9 17049 IMPLICITLY DEFINED CURVE//BIALTERNATE PRODUCT//UNILATERAL DYNAMIC CONTACT
10 32017 GENERALIZED GREENS FUNCTION//MULTIRATE TIME STEPPING//OPERATOR DECOMPOSITION

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