Class information for:
Level 1: PANTOGRAPH EQUATION//BOUNDARY VALUE METHODS//NEUTRAL DELAY DIFFERENTIAL EQUATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14918 742 21.1 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
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
14918 1                   PANTOGRAPH EQUATION//BOUNDARY VALUE METHODS//NEUTRAL DELAY DIFFERENTIAL EQUATIONS 742

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 PANTOGRAPH EQUATION authKW 988419 5% 69% 35
2 BOUNDARY VALUE METHODS authKW 670250 4% 53% 31
3 NEUTRAL DELAY DIFFERENTIAL EQUATIONS authKW 572853 3% 61% 23
4 NEUTRAL DELAY INTEGRO DIFFERENTIAL EQUATIONS authKW 493817 2% 100% 12
5 DELAY DIFFERENTIAL EQUATIONS authKW 455886 15% 10% 109
6 VOLTERRA FUNCTIONAL DIFFERENTIAL EQUATIONS authKW 452665 1% 100% 11
7 DELAY DIFFERENTIAL ALGEBRAIC EQUATIONS authKW 395049 2% 80% 12
8 VOLTERRA DELAY INTEGRO DIFFERENTIAL EQUATIONS authKW 342925 1% 83% 10
9 ONE LEG METHODS authKW 302362 2% 57% 13
10 SPLINE FUNCTIONS APPROXIMATION authKW 288060 1% 100% 7

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 38137 89% 0% 657
2 Mathematics 1064 18% 0% 130
3 Computer Science, Software Engineering 397 6% 0% 43
4 Mathematics, Interdisciplinary Applications 264 5% 0% 35
5 Mechanics 126 6% 0% 41
6 Engineering, General 104 3% 0% 25
7 Computer Science, Interdisciplinary Applications 23 2% 0% 16
8 Computer Science, Theory & Methods 21 2% 0% 16
9 Automation & Control Systems 8 1% 0% 8
10 Physics, Mathematical 5 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 ANAL NONLINEAIRE HM 82303 0% 100% 2
2 E SHANGHAI UNIVSCI COMP 82303 0% 100% 2
3 MATH COMPUTAT SCI 41511 7% 2% 52
4 COMMMUNITY RIYADH 41151 0% 100% 1
5 COMPUTAT SCIE SCI COMP 41151 0% 100% 1
6 COMPUTAT SCIE SHANGHAI UNIV 41151 0% 100% 1
7 COMPUTAT SCISCI COMP E 41151 0% 100% 1
8 DIPARTIMENTO MATEMAT PLICATA U DINE 41151 0% 100% 1
9 E SHANGHAI UNIV MATH 41151 0% 100% 1
10 E SHANGHAIUNIV 41151 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 82980 10% 3% 77
2 JOURNAL OF COMPUTATIONAL MATHEMATICS 22419 4% 2% 27
3 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 18206 9% 1% 67
4 IMA JOURNAL OF NUMERICAL ANALYSIS 15020 3% 2% 23
5 BIT NUMERICAL MATHEMATICS 14585 3% 2% 23
6 APPLIED MATHEMATICS AND COMPUTATION 13177 10% 0% 75
7 NUMERISCHE MATHEMATIK 11572 4% 1% 29
8 SIAM JOURNAL ON NUMERICAL ANALYSIS 10910 4% 1% 33
9 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 9293 4% 1% 30
10 COMPUTERS & MATHEMATICS WITH APPLICATIONS 5529 5% 0% 36

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 PANTOGRAPH EQUATION 988419 5% 69% 35 Search PANTOGRAPH+EQUATION Search PANTOGRAPH+EQUATION
2 BOUNDARY VALUE METHODS 670250 4% 53% 31 Search BOUNDARY+VALUE+METHODS Search BOUNDARY+VALUE+METHODS
3 NEUTRAL DELAY DIFFERENTIAL EQUATIONS 572853 3% 61% 23 Search NEUTRAL+DELAY+DIFFERENTIAL+EQUATIONS Search NEUTRAL+DELAY+DIFFERENTIAL+EQUATIONS
4 NEUTRAL DELAY INTEGRO DIFFERENTIAL EQUATIONS 493817 2% 100% 12 Search NEUTRAL+DELAY+INTEGRO+DIFFERENTIAL+EQUATIONS Search NEUTRAL+DELAY+INTEGRO+DIFFERENTIAL+EQUATIONS
5 DELAY DIFFERENTIAL EQUATIONS 455886 15% 10% 109 Search DELAY+DIFFERENTIAL+EQUATIONS Search DELAY+DIFFERENTIAL+EQUATIONS
6 VOLTERRA FUNCTIONAL DIFFERENTIAL EQUATIONS 452665 1% 100% 11 Search VOLTERRA+FUNCTIONAL+DIFFERENTIAL+EQUATIONS Search VOLTERRA+FUNCTIONAL+DIFFERENTIAL+EQUATIONS
7 DELAY DIFFERENTIAL ALGEBRAIC EQUATIONS 395049 2% 80% 12 Search DELAY+DIFFERENTIAL+ALGEBRAIC+EQUATIONS Search DELAY+DIFFERENTIAL+ALGEBRAIC+EQUATIONS
8 VOLTERRA DELAY INTEGRO DIFFERENTIAL EQUATIONS 342925 1% 83% 10 Search VOLTERRA+DELAY+INTEGRO+DIFFERENTIAL+EQUATIONS Search VOLTERRA+DELAY+INTEGRO+DIFFERENTIAL+EQUATIONS
9 ONE LEG METHODS 302362 2% 57% 13 Search ONE+LEG+METHODS Search ONE+LEG+METHODS
10 SPLINE FUNCTIONS APPROXIMATION 288060 1% 100% 7 Search SPLINE+FUNCTIONS+APPROXIMATION Search SPLINE+FUNCTIONS+APPROXIMATION

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 ZHAO, JJ , FAN, Y , XU, Y , (2014) DELAY-DEPENDENT STABILITY ANALYSIS OF SYMMETRIC BOUNDARY VALUE METHODS FOR LINEAR DELAY INTEGRO-DIFFERENTIAL EQUATIONS.NUMERICAL ALGORITHMS. VOL. 65. ISSUE 1. P. 125-151 31 100% 2
2 LI, SF , (2010) HIGH ORDER CONTRACTIVE RUNGE-KUTTA METHODS FOR VOLTERRA FUNCTIONAL DIFFERENTIAL EQUATIONS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 47. ISSUE 6. P. 4290 -4325 41 82% 7
3 ZHAO, JJ , FAN, Y , XU, Y , (2015) AN ANALYSIS OF DELAY-DEPENDENT STABILITY OF SYMMETRIC BOUNDARY VALUE METHODS FOR THE LINEAR NEUTRAL DELAY INTEGRO-DIFFERENTIAL EQUATIONS WITH FOUR PARAMETERS.APPLIED MATHEMATICAL MODELLING. VOL. 39. ISSUE 9. P. 2453 -2469 30 100% 0
4 BRUNNER, H , (2009) CURRENT WORK AND OPEN PROBLEMS IN THE NUMERICAL ANALYSIS OF VOLTERRA FUNCTIONAL EQUATIONS WITH VANISHING DELAYS.FRONTIERS OF MATHEMATICS IN CHINA. VOL. 4. ISSUE 1. P. 3-22 37 90% 10
5 BRUNNER, H , (2009) RECENT ADVANCES IN THE NUMERICAL ANALYSIS OF VOLTERRA FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 228. ISSUE 2. P. 524-537 37 88% 12
6 WANG, L , DING, X , (2012) DISSIPATIVITY OF THETA-METHODS FOR A CLASS OF NONLINEAR NEUTRAL DELAY INTEGRO-DIFFERENTIAL EQUATIONS.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 89. ISSUE 15. P. 2029 -2046 32 91% 2
7 WANG, WS , (2015) HIGH ORDER STABLE RUNGE-KUTTA METHODS FOR NONLINEAR GENERALIZED PANTOGRAPH EQUATIONS ON THE GEOMETRIC MESH.APPLIED MATHEMATICAL MODELLING. VOL. 39. ISSUE 1. P. 270 -283 31 86% 1
8 WANG, WS , (2017) UNIFORM ULTIMATE BOUNDEDNESS OF NUMERICAL SOLUTIONS TO NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 309. ISSUE . P. 132 -144 26 100% 0
9 LI, SF , WANG, WS , (2012) ON THE ONE-LEG METHODS FOR SOLVING NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH VARIABLE DELAY.JOURNAL OF APPLIED MATHEMATICS. VOL. . ISSUE . P. - 33 87% 0
10 LI, SF , (2009) A REVIEW OF THEORETICAL AND NUMERICAL ANALYSIS FOR NONLINEAR STIFF VOLTERRA FUNCTIONAL DIFFERENTIAL EQUATIONS.FRONTIERS OF MATHEMATICS IN CHINA. VOL. 4. ISSUE 1. P. 23 -48 37 82% 2

Classes with closest relation at Level 1


Rank Class id link
1 4898 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS
2 5428 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION
3 20675 NEUTRAL TYPE SYSTEMS//MAXIMAL ASYMPTOTICS//NONLINEAR STOCHASTIC DELAY EQUATIONS
4 20817 INFORMATION METABOLISM//SPURIOUS SOLUTIONS//ASYMPTOTIC BEHAVIOR OF NUMERICAL SOLUTIONS
5 8427 STATE DEPENDENT DELAY//HOPF BIFURCATION//DOUBLE HOPF BIFURCATION
6 32017 GENERALIZED GREENS FUNCTION//MULTIRATE TIME STEPPING//OPERATOR DECOMPOSITION
7 15282 WAVEFORM RELAXATION//OPTIMIZED SCHWARZ METHODS//WAVEFORM RELAXATION METHOD
8 12909 VOLTERRA DIFFERENCE EQUATIONS//ASYMPTOTIC EQUILIBRIUM//DISCRETE VOLTERRA EQUATIONS
9 10405 STOCHASTIC DIFFERENTIAL EQUATIONS//MEAN SQUARE STABILITY//STOCHASTIC RUNGE KUTTA METHOD
10 18397 DIFFERENTIAL ALGEBRAIC EQUATIONS//MATEMAT LICADA TECNOL INFORMAC//CONSISTENT INITIAL VALUES

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