Class information for:
Level 1: STOCHASTIC OPERATIONAL MATRIX//UNIV MATEMAT MULTIDISCIPLINAR//RANDOM DIFFERENTIAL EQUATIONS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
30114 174 18.5 38%



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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
377 3       TOPOLOGY OPTIMIZATION//STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION//LATTICE RULES 32367
1354 2             POLYNOMIAL CHAOS//UNCERTAINTY QUANTIFICATION//COMPUTER EXPERIMENTS 8281
30114 1                   STOCHASTIC OPERATIONAL MATRIX//UNIV MATEMAT MULTIDISCIPLINAR//RANDOM DIFFERENTIAL EQUATIONS 174

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 STOCHASTIC OPERATIONAL MATRIX authKW 1943901 7% 92% 12
2 UNIV MATEMAT MULTIDISCIPLINAR address 1311652 18% 23% 32
3 RANDOM DIFFERENTIAL EQUATIONS authKW 1111419 11% 33% 19
4 RANDOM LINEAR TRANSPORT EQUATION authKW 1052948 3% 100% 6
5 STOCHASTIC ITO VOLTERRA INTEGRAL EQUATIONS authKW 1052948 3% 100% 6
6 FIRST PROBABILITY DENSITY FUNCTION authKW 902525 3% 86% 6
7 RANDOM POWER SERIES SOLUTION authKW 877456 3% 100% 5
8 MEAN SQUARE CALCULUS authKW 781729 4% 64% 7
9 MEAN SQUARE SOLUTION authKW 701965 2% 100% 4
10 RANDOM MEAN VALUE THEOREM authKW 701965 2% 100% 4

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 3047 52% 0% 91
2 Computer Science, Interdisciplinary Applications 290 11% 0% 20
3 Engineering, General 263 10% 0% 17
4 Mechanics 224 13% 0% 23
5 Computer Science, Software Engineering 220 9% 0% 15
6 Mathematics, Interdisciplinary Applications 198 8% 0% 14
7 Physics, Particles & Fields 97 9% 0% 15
8 Mathematics 74 10% 0% 18
9 Physics, Mathematical 34 5% 0% 8
10 Thermodynamics 22 3% 0% 6

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 UNIV MATEMAT MULTIDISCIPLINAR 1311652 18% 23% 32
2 CEFYM 421172 3% 40% 6
3 DAMAT 401119 2% 57% 4
4 TEACHERS GIRLS 350983 1% 100% 2
5 INVESTT CIENT 175491 1% 100% 1
6 MATH MODELING THERMAL PROC TECH SYST 175491 1% 100% 1
7 SCI PHYS B 5 175491 1% 100% 1
8 SCI PHYS B5 175491 1% 100% 1
9 UNIV AUTONOMA CHI AS MEXICO 175491 1% 100% 1
10 ESTUDIOS FIS MATEMAT BASICAS LICADAS 116988 2% 17% 4

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 NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS 12364 9% 0% 15
2 COMPUTERS & MATHEMATICS WITH APPLICATIONS 5292 10% 0% 17
3 LETTERE AL NUOVO CIMENTO 4777 4% 0% 7
4 APPLIED MATHEMATICS AND COMPUTATION 3609 11% 0% 19
5 APPLIED MATHEMATICAL MODELLING 3236 6% 0% 11
6 MATHEMATICAL AND COMPUTER MODELLING 2294 5% 0% 9
7 MATHEMATICS AND COMPUTERS IN SIMULATION 1752 3% 0% 6
8 MEDITERRANEAN JOURNAL OF MATHEMATICS 1737 2% 0% 3
9 APPLIED MATHEMATICS LETTERS 1621 4% 0% 7
10 JOURNAL OF NUMERICAL MATHEMATICS 1116 1% 1% 1

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 STOCHASTIC OPERATIONAL MATRIX 1943901 7% 92% 12 Search STOCHASTIC+OPERATIONAL+MATRIX Search STOCHASTIC+OPERATIONAL+MATRIX
2 RANDOM DIFFERENTIAL EQUATIONS 1111419 11% 33% 19 Search RANDOM+DIFFERENTIAL+EQUATIONS Search RANDOM+DIFFERENTIAL+EQUATIONS
3 RANDOM LINEAR TRANSPORT EQUATION 1052948 3% 100% 6 Search RANDOM+LINEAR+TRANSPORT+EQUATION Search RANDOM+LINEAR+TRANSPORT+EQUATION
4 STOCHASTIC ITO VOLTERRA INTEGRAL EQUATIONS 1052948 3% 100% 6 Search STOCHASTIC+ITO+VOLTERRA+INTEGRAL+EQUATIONS Search STOCHASTIC+ITO+VOLTERRA+INTEGRAL+EQUATIONS
5 FIRST PROBABILITY DENSITY FUNCTION 902525 3% 86% 6 Search FIRST+PROBABILITY+DENSITY+FUNCTION Search FIRST+PROBABILITY+DENSITY+FUNCTION
6 RANDOM POWER SERIES SOLUTION 877456 3% 100% 5 Search RANDOM+POWER+SERIES+SOLUTION Search RANDOM+POWER+SERIES+SOLUTION
7 MEAN SQUARE CALCULUS 781729 4% 64% 7 Search MEAN+SQUARE+CALCULUS Search MEAN+SQUARE+CALCULUS
8 MEAN SQUARE SOLUTION 701965 2% 100% 4 Search MEAN+SQUARE+SOLUTION Search MEAN+SQUARE+SOLUTION
9 RANDOM MEAN VALUE THEOREM 701965 2% 100% 4 Search RANDOM+MEAN+VALUE+THEOREM Search RANDOM+MEAN+VALUE+THEOREM
10 RANDOM VARIABLE TRANSFORMATION RVT 701965 2% 100% 4 Search RANDOM+VARIABLE+TRANSFORMATION+RVT Search RANDOM+VARIABLE+TRANSFORMATION+RVT

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 KHODABIN, M , ROSTAMI, M , (2015) MEAN SQUARE NUMERICAL SOLUTION OF STOCHASTIC DIFFERENTIAL EQUATIONS BY FOURTH ORDER RUNGE-KUTTA METHOD AND ITS APPLICATION IN THE ELECTRIC CIRCUITS WITH NOISE.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 13 100% 0
2 CASABAN, MC , COMPANY, R , CORTES, JC , JODAR, L , (2014) SOLVING THE RANDOM DIFFUSION MODEL IN AN INFINITE MEDIUM: A MEAN SQUARE APPROACH.APPLIED MATHEMATICAL MODELLING. VOL. 38. ISSUE 24. P. 5922 -5933 15 75% 0
3 CASABAN, MC , CORTES, JC , NAVARRO-QUILES, A , ROMERO, JV , ROSELLO, MD , VILLANUEVA, RJ , (2017) COMPUTING PROBABILISTIC SOLUTIONS OF THE BERNOULLI RANDOM DIFFERENTIAL EQUATION.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 309. ISSUE . P. 396 -407 12 80% 0
4 CASABAN, MC , CORTES, JC , ROMERO, JV , ROSELLO, MD , (2016) SOLVING RANDOM HOMOGENEOUS LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS: A FULL PROBABILISTIC DESCRIPTION.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 13. ISSUE 6. P. 3817 -3836 12 80% 0
5 CASABAN, MC , CORTES, JC , JODAR, L , (2016) SOLVING RANDOM MIXED HEAT PROBLEMS: A RANDOM INTEGRAL TRANSFORM APPROACH.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 291. ISSUE . P. 5 -19 11 79% 0
6 CASABAN, MC , CORTES, JC , NAVARRO-QUILES, A , ROMERO, JV , ROSELLO, MD , VILLANUEVA, RJ , (2016) PROBABILISTIC SOLUTION OF THE HOMOGENEOUS RICCATI DIFFERENTIAL EQUATION: A CASE-STUDY BY USING LINEARIZATION AND TRANSFORMATION TECHNIQUES.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 291. ISSUE . P. 20 -35 8 100% 0
7 CASABAN, MC , JODAR, L , CORTES, JC , (2016) SOLVING LINEAR AND QUADRATIC RANDOM MATRIX DIFFERENTIAL EQUATIONS: A MEAN SQUARE APPROACH.APPLIED MATHEMATICAL MODELLING. VOL. 40. ISSUE 21-22. P. 9362 -9377 11 69% 0
8 CORTES, JC , JODAR, L , VILLAFUERTE, L , (2017) MEAN SQUARE SOLUTION OF BESSEL DIFFERENTIAL EQUATION WITH UNCERTAINTIES.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 309. ISSUE . P. 383 -395 9 82% 0
9 HEYDARI, MH , HOOSHMANDASL, MR , CATTANI, C , GHAINI, FMM , (2015) AN EFFICIENT COMPUTATIONAL METHOD FOR SOLVING NONLINEAR STOCHASTIC IT(O)OVER-CAP INTEGRAL EQUATIONS: APPLICATION FOR STOCHASTIC PROBLEMS IN PHYSICS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 283. ISSUE . P. 148 -168 12 55% 4
10 CORTES, JC , NAVARRO-QUILES, A , ROMERO, JV , ROSELLO, MD , (2016) PROBABILISTIC SOLUTION OF RANDOM AUTONOMOUS FIRST-ORDER LINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS.ROMANIAN REPORTS IN PHYSICS. VOL. 68. ISSUE 4. P. 1397 -1406 9 75% 0

Classes with closest relation at Level 1



Rank Class id link
1 30091 ANALYTIC NUMERICAL SOLUTION//COUPLED DIFFUSION PROBLEM//A PRIORI ERROR BOUND
2 29917 STOCHASTIC BOUNDARY ELEMENT METHOD//SPLINE FICTITIOUS BOUNDARY ELEMENT METHOD//GENERAL ORTHOTROPY
3 16111 HALF FLUXES//MAXIMUM ENTROPY CLOSURE//M 1 MODEL
4 3278 POLYNOMIAL CHAOS//UNCERTAINTY QUANTIFICATION//STOCHASTIC COLLOCATION
5 26010 LINEAR HYPERBOLIC EQUATION//TELEGRAPH EQUATION//SINE GORDON EQUATION
6 10405 STOCHASTIC DIFFERENTIAL EQUATIONS//MEAN SQUARE STABILITY//STOCHASTIC RUNGE KUTTA METHOD
7 29587 HERMITE TRANSFORM//HERMITE TRANSFORMATION//WICK TYPE STOCHASTIC EQUATION
8 5428 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION
9 14292 STOCHASTIC PERMANENCE//STOCHASTICALLY ULTIMATE BOUNDEDNESS//MOMENT BOUNDEDNESS
10 6796 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS//STOCHASTIC NAVIER STOKES EQUATIONS//STOCHASTIC WAVE EQUATION

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