Class information for:
Level 1: VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5428 1624 18.6 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
2845 2             VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//BLOCK PULSE FUNCTIONS 2956
5428 1                   VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION 1624

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 498839 6% 26% 102
2 WEAKLY SINGULAR KERNEL authKW 448943 2% 60% 40
3 FREDHOLM INTEGRAL EQUATION authKW 343927 5% 24% 77
4 TAYLOR POLYNOMIALS AND SERIES authKW 326966 1% 87% 20
5 FREDHOLM INTEGRO DIFFERENTIAL EQUATION authKW 307071 1% 78% 21
6 DOUBLE EXPONENTIAL TRANSFORMATION authKW 285967 1% 89% 17
7 VOLTERRA FREDHOLM INTEGRAL EQUATIONS authKW 259310 1% 69% 20
8 INTEGRAL ALGEBRAIC EQUATIONS authKW 244411 1% 100% 13
9 COLLOCATION POINTS authKW 217522 2% 43% 27
10 TAU METHOD authKW 213871 2% 36% 32

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 67871 80% 0% 1299
2 Mathematics 1530 15% 0% 236
3 Mathematics, Interdisciplinary Applications 1227 7% 0% 108
4 Engineering, General 649 5% 0% 86
5 Mechanics 343 6% 0% 98
6 Computer Science, Software Engineering 257 3% 0% 55
7 Physics, Mathematical 212 4% 0% 63
8 Computer Science, Interdisciplinary Applications 125 3% 0% 49
9 Computer Science, Cybernetics 65 1% 0% 11
10 Computer Science, Theory & Methods 34 2% 0% 32

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 KARAJ UNIT 120322 0% 80% 8
2 SOUTH UNIT 56403 0% 100% 3
3 ESTO 51172 0% 39% 7
4 GEN REQUIRED COURSES 37602 0% 100% 2
5 SENSORS STRUCT HLTH MONITORING GRP 33839 0% 60% 3
6 MATSI 33827 1% 20% 9
7 SCI COMP COMP PLICAT 28186 1% 17% 9
8 COMPUTAT STOCHAST MATH CEMAT 25066 0% 67% 2
9 URAC05 25066 0% 67% 2
10 MATH 21516 43% 0% 698

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 MATHEMATICS AND COMPUTATION 74350 16% 2% 263
2 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 60120 11% 2% 180
3 IMA JOURNAL OF NUMERICAL ANALYSIS 22870 3% 3% 42
4 JOURNAL OF INTEGRAL EQUATIONS 20334 1% 9% 12
5 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 18128 4% 2% 62
6 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 17628 1% 7% 13
7 MATHEMATICS OF COMPUTATION 16974 4% 2% 60
8 APPLIED NUMERICAL MATHEMATICS 12883 3% 2% 45
9 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 10243 2% 2% 32
10 SIAM JOURNAL ON NUMERICAL ANALYSIS 8828 3% 1% 44

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 498839 6% 26% 102 Search VOLTERRA+INTEGRAL+EQUATION Search VOLTERRA+INTEGRAL+EQUATION
2 WEAKLY SINGULAR KERNEL 448943 2% 60% 40 Search WEAKLY+SINGULAR+KERNEL Search WEAKLY+SINGULAR+KERNEL
3 FREDHOLM INTEGRAL EQUATION 343927 5% 24% 77 Search FREDHOLM+INTEGRAL+EQUATION Search FREDHOLM+INTEGRAL+EQUATION
4 TAYLOR POLYNOMIALS AND SERIES 326966 1% 87% 20 Search TAYLOR+POLYNOMIALS+AND+SERIES Search TAYLOR+POLYNOMIALS+AND+SERIES
5 FREDHOLM INTEGRO DIFFERENTIAL EQUATION 307071 1% 78% 21 Search FREDHOLM+INTEGRO+DIFFERENTIAL+EQUATION Search FREDHOLM+INTEGRO+DIFFERENTIAL+EQUATION
6 DOUBLE EXPONENTIAL TRANSFORMATION 285967 1% 89% 17 Search DOUBLE+EXPONENTIAL+TRANSFORMATION Search DOUBLE+EXPONENTIAL+TRANSFORMATION
7 VOLTERRA FREDHOLM INTEGRAL EQUATIONS 259310 1% 69% 20 Search VOLTERRA+FREDHOLM+INTEGRAL+EQUATIONS Search VOLTERRA+FREDHOLM+INTEGRAL+EQUATIONS
8 INTEGRAL ALGEBRAIC EQUATIONS 244411 1% 100% 13 Search INTEGRAL+ALGEBRAIC+EQUATIONS Search INTEGRAL+ALGEBRAIC+EQUATIONS
9 COLLOCATION POINTS 217522 2% 43% 27 Search COLLOCATION+POINTS Search COLLOCATION+POINTS
10 TAU METHOD 213871 2% 36% 32 Search TAU+METHOD Search TAU+METHOD

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 51 77% 59
2 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
3 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
4 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 29 76% 13
5 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
6 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
7 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
8 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
9 BAYKUS, N , SEZER, M , (2011) SOLUTION OF HIGH-ORDER LINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS WITH PIECEWISE INTERVALS.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. VOL. 27. ISSUE 5. P. 1327-1339 21 100% 2
10 MA, XH , HUANG, CM , NIU, X , (2015) CONVERGENCE ANALYSIS OF SPECTRAL COLLOCATION METHODS FOR A CLASS OF WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 250. ISSUE . P. 131 -144 18 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 36216 MELENTIEV ENERGY SYST//MELENTEV POWER ENGN SYST//POWER ENGN SYST
2 14918 PANTOGRAPH EQUATION//BOUNDARY VALUE METHODS//NEUTRAL DELAY DIFFERENTIAL EQUATIONS
3 33508 COMPLEX HYPERSPHERE//MAXIMAL BRANCHING PROCESS//PERMUTATION FORMULA
4 18044 MECHANICAL QUADRATURE METHOD//SPLITTING EXTRAPOLATION//HEAT POTENTIALS
5 28229 ABC MATH PROGRAM//SPECTRAL SUBSPACE//ISOSPECTRAL GRAPH REDUCTION
6 12210 BLOCK PULSE//HYBRID FUNCTIONS//INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
7 2265 CAPUTO DERIVATIVE//OPERATIONAL MATRIX//CAPUTO FRACTIONAL DERIVATIVE
8 9716 SPECTRAL METHODS//SEMI INFINITE INTERVAL//NONHOMOGENEOUS DIRICHLET CONDITIONS
9 26289 LANE EMDEN EQUATION//LANE EMDEN TYPE EQUATIONS//ISOTHERMAL GAS SPHERES
10 30114 STOCHASTIC OPERATIONAL MATRIX//UNIV MATEMAT MULTIDISCIPLINAR//RANDOM DIFFERENTIAL EQUATIONS

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