Class information for:
Level 2: VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//BLOCK PULSE FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2845 2956 17.5 39%


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
2845 2             VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//BLOCK PULSE FUNCTIONS 2956
5428 1                   VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION 1624
12210 1                   BLOCK PULSE//HYBRID FUNCTIONS//INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 923
29888 1                   KELVIN VOIGT FLUID//DEGENERATE SEMIGROUP OF OPERATORS//GENERALIZED SHOWALTER SIDOROV PROBLEM 178
31810 1                   BEST PARAMETERS//BARBASHIN TYPE EQUATIONS//FUNCTIONALS WITH DEVIATING ARGUMENTS 147
36216 1                   MELENTIEV ENERGY SYST//MELENTEV POWER ENGN SYST//POWER ENGN SYST 84

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 VOLTERRA INTEGRAL EQUATION authKW 336267 4% 29% 113
2 WEAKLY SINGULAR KERNEL authKW 246609 1% 60% 40
3 BLOCK PULSE FUNCTIONS authKW 228022 1% 60% 37
4 FREDHOLM INTEGRAL EQUATION authKW 198824 3% 24% 79
5 TAYLOR POLYNOMIALS AND SERIES authKW 179614 1% 87% 20
6 FREDHOLM INTEGRO DIFFERENTIAL EQUATION authKW 168683 1% 78% 21
7 OPERATIONAL MATRIX authKW 166864 2% 28% 57
8 HYBRID FUNCTIONS authKW 160767 1% 65% 24
9 DOUBLE EXPONENTIAL TRANSFORMATION authKW 157093 1% 89% 17
10 VOLTERRA FREDHOLM INTEGRAL EQUATIONS authKW 142444 1% 69% 20

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 58525 56% 0% 1641
2 Automation & Control Systems 24537 19% 0% 563
3 Operations Research & Management Science 3875 9% 0% 254
4 Mathematics 3315 16% 0% 464
5 Mathematics, Interdisciplinary Applications 2419 7% 0% 204
6 Computer Science, Theory & Methods 2396 8% 0% 249
7 Engineering, General 1532 6% 0% 176
8 Computer Science, Software Engineering 392 3% 0% 93
9 Mechanics 337 5% 0% 140
10 Computer Science, Interdisciplinary Applications 320 3% 0% 102

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 MELENTIEV ENERGY SYST 67591 0% 55% 12
2 KARAJ UNIT 66097 0% 80% 8
3 MELENTEV POWER ENGN SYST 55078 0% 67% 8
4 PARALLEL ALGORITHMS ARCHITECTU 30984 0% 100% 3
5 SOUTH UNIT 30984 0% 100% 3
6 ESTO 28107 0% 39% 7
7 GEN REQUIRED COURSES 20656 0% 100% 2
8 POWER ENGN SYST 20656 0% 100% 2
9 SENSORS STRUCT HLTH MONITORING GRP 18588 0% 60% 3
10 MATSI 18576 0% 20% 9

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 SYSTEMS SCIENCE 85379 7% 4% 212
2 APPLIED MATHEMATICS AND COMPUTATION 52926 10% 2% 300
3 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 43152 4% 3% 129
4 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 37031 6% 2% 191
5 INTERNATIONAL JOURNAL OF CONTROL 27274 4% 2% 131
6 DIFFERENTIAL EQUATIONS 26452 3% 3% 98
7 JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 14775 2% 2% 69
8 IMA JOURNAL OF NUMERICAL ANALYSIS 12527 1% 3% 42
9 JOURNAL OF INTEGRAL EQUATIONS 11161 0% 9% 12
10 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 9673 0% 7% 13

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 VOLTERRA INTEGRAL EQUATION 336267 4% 29% 113 Search VOLTERRA+INTEGRAL+EQUATION Search VOLTERRA+INTEGRAL+EQUATION
2 WEAKLY SINGULAR KERNEL 246609 1% 60% 40 Search WEAKLY+SINGULAR+KERNEL Search WEAKLY+SINGULAR+KERNEL
3 BLOCK PULSE FUNCTIONS 228022 1% 60% 37 Search BLOCK+PULSE+FUNCTIONS Search BLOCK+PULSE+FUNCTIONS
4 FREDHOLM INTEGRAL EQUATION 198824 3% 24% 79 Search FREDHOLM+INTEGRAL+EQUATION Search FREDHOLM+INTEGRAL+EQUATION
5 TAYLOR POLYNOMIALS AND SERIES 179614 1% 87% 20 Search TAYLOR+POLYNOMIALS+AND+SERIES Search TAYLOR+POLYNOMIALS+AND+SERIES
6 FREDHOLM INTEGRO DIFFERENTIAL EQUATION 168683 1% 78% 21 Search FREDHOLM+INTEGRO+DIFFERENTIAL+EQUATION Search FREDHOLM+INTEGRO+DIFFERENTIAL+EQUATION
7 OPERATIONAL MATRIX 166864 2% 28% 57 Search OPERATIONAL+MATRIX Search OPERATIONAL+MATRIX
8 HYBRID FUNCTIONS 160767 1% 65% 24 Search HYBRID+FUNCTIONS Search HYBRID+FUNCTIONS
9 DOUBLE EXPONENTIAL TRANSFORMATION 157093 1% 89% 17 Search DOUBLE+EXPONENTIAL+TRANSFORMATION Search DOUBLE+EXPONENTIAL+TRANSFORMATION
10 VOLTERRA FREDHOLM INTEGRAL EQUATIONS 142444 1% 69% 20 Search VOLTERRA+FREDHOLM+INTEGRAL+EQUATIONS Search VOLTERRA+FREDHOLM+INTEGRAL+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 BAKER, CTH , (2000) A PERSPECTIVE ON THE NUMERICAL TREATMENT OF VOLTERRA EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 125. ISSUE 1-2. P. 217-249 52 79% 59
2 JIANG, ZH , SCHAUFELBERGER, W , (1992) BLOCK PULSE FUNCTIONS AND THEIR APPLICATIONS IN CONTROL-SYSTEMS.LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES. VOL. 179. ISSUE . P. R1-235 57 95% 0
3 YUZBASI, S , SEZER, M , KEMANCI, B , (2013) NUMERICAL SOLUTIONS OF INTEGRO-DIFFERENTIAL EQUATIONS AND APPLICATION OF A POPULATION MODEL WITH AN IMPROVED LEGENDRE METHOD.APPLIED MATHEMATICAL MODELLING. VOL. 37. ISSUE 4. P. 2086-2101 30 79% 13
4 DIOGO, T , LIMA, PM , PEDAS, A , VAINIKKO, G , (2017) SMOOTHING TRANSFORMATION AND SPLINE COLLOCATION FOR WEAKLY SINGULAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS.APPLIED NUMERICAL MATHEMATICS. VOL. 114. ISSUE . P. 63 -76 23 100% 0
5 REUTSKIY, SY , (2016) THE BACKWARD SUBSTITUTION METHOD FOR MULTIPOINT PROBLEMS WITH LINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF THE NEUTRAL TYPE.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 296. ISSUE . P. 724 -738 28 76% 1
6 WEI, YX , CHEN, YP , (2014) LEGENDRE SPECTRAL COLLOCATION METHOD FOR NEUTRAL AND HIGH-ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATION.APPLIED NUMERICAL MATHEMATICS. VOL. 81. ISSUE . P. 15 -29 26 84% 6
7 YUSUFOGLU, E , (2009) NUMERICAL SOLVING INITIAL VALUE PROBLEM FOR FREDHOLM TYPE LINEAR INTEGRO-DIFFERENTIAL EQUATION SYSTEM.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS. VOL. 346. ISSUE 6. P. 636-649 27 90% 14
8 SHAHMORAD, S , OSTADZAD, MH , (2016) AN OPERATIONAL MATRIX METHOD FOR SOLVING DELAY FREDHOLM AND VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS.INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS. VOL. 13. ISSUE 6. P. - 22 96% 0
9 DIOGO, T , LIMA, P , REBELO, M , (2006) NUMERICAL SOLUTION OF A NONLINEAR ABEL TYPE VOLTERRA INTEGRAL EQUATION.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 5. ISSUE 2. P. 277-288 27 96% 9
10 TANG, XJ , (2015) EFFICIENT CHEBYSHEV COLLOCATION METHODS FOR SOLVING OPTIMAL CONTROL PROBLEMS GOVERNED BY VOLTERRA INTEGRAL EQUATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 269. ISSUE . P. 118 -128 22 96% 0

Classes with closest relation at Level 2


Rank Class id link
1 2408 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
2 1538 RUNGE KUTTA METHODS//GENERAL LINEAR METHODS//PHASE LAG
3 895 SHISHKIN MESH//SINGULAR PERTURBATION//MATHEMATICS, APPLIED
4 935 FRACTIONAL DIFFERENTIAL EQUATIONS//FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE
5 1193 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
6 1602 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES
7 1289 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//BOUNDARY ELEMENT METHOD//METHOD OF FUNDAMENTAL SOLUTIONS
8 1985 ILL POSED PROBLEM//INVERSE HEAT CONDUCTION PROBLEM//DISCREPANCY PRINCIPLE
9 3968 HYDRAZYL//N N SUBSTITUTED P PHENYLENEDIAMINES//SUPRAMOL CHEM INTERPHASE PROC
10 2302 FIXED POINT//COMMON FIXED POINT//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES

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