Class information for:
Level 1: STOCHASTIC DIFFERENTIAL EQUATIONS//MEAN SQUARE STABILITY//STOCHASTIC RUNGE KUTTA METHOD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10405 1067 21.2 44%


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
460 3       POSITIVE SOLUTION//MATHEMATICS, APPLIED//DIFFERENCE EQUATIONS 24500
1287 2             DIFFERENCE EQUATIONS//MILD SOLUTION//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 8681
10405 1                   STOCHASTIC DIFFERENTIAL EQUATIONS//MEAN SQUARE STABILITY//STOCHASTIC RUNGE KUTTA METHOD 1067

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 DIFFERENTIAL EQUATIONS authKW 1269506 27% 15% 287
2 MEAN SQUARE STABILITY authKW 798982 6% 42% 66
3 STOCHASTIC RUNGE KUTTA METHOD authKW 658177 2% 100% 23
4 WEAK APPROXIMATION authKW 537312 4% 48% 39
5 EULER MARUYAMA METHOD authKW 534154 3% 67% 28
6 STOCHASTIC THETA METHOD authKW 491926 2% 90% 19
7 STOCHASTIC DELAY DIFFERENTIAL EQUATIONS authKW 455491 3% 43% 37
8 EULER MARUYAMA authKW 344579 2% 71% 17
9 MS STABILITY authKW 343397 1% 100% 12
10 SEMI IMPLICIT EULER METHOD authKW 314780 1% 100% 11

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 33423 69% 0% 741
2 Statistics & Probability 7099 20% 0% 215
3 Mathematics 961 14% 0% 152
4 Computer Science, Software Engineering 947 7% 0% 78
5 Mathematics, Interdisciplinary Applications 539 6% 0% 59
6 Automation & Control Systems 237 3% 0% 37
7 Computer Science, Interdisciplinary Applications 209 4% 0% 47
8 Business, Finance 105 2% 0% 18
9 Physics, Mathematical 105 3% 0% 37
10 Social Sciences, Mathematical Methods 95 1% 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 SISTEMAS AD TAT 91571 0% 80% 4
2 STAT MODEL SCI 85849 0% 100% 3
3 STAT MODELLING SCI 64649 3% 7% 31
4 AG STOCHAST OPERAT 57233 0% 100% 2
5 COEISEM 57233 0% 100% 2
6 JIANGSU EDUC SCI 57233 0% 100% 2
7 MATEMAT INTERDISCIPLINARIA 57233 0% 100% 2
8 SISTEMAS AD TATIVOS 57233 0% 100% 2
9 ACCOUNTANCY MATH 28616 0% 100% 1
10 ANALYSE MATH PL PROJET MATH 28616 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 ABEL SYMPOSIA 56120 4% 4% 45
2 BIT NUMERICAL MATHEMATICS 40605 4% 3% 46
3 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 34158 10% 1% 110
4 SIAM JOURNAL ON NUMERICAL ANALYSIS 15389 4% 1% 47
5 INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 12498 1% 3% 15
6 STOCHASTIC ANALYSIS AND APPLICATIONS 10780 1% 3% 14
7 STOCHASTICS AND DYNAMICS 10680 1% 3% 12
8 ANNALS OF APPLIED PROBABILITY 8468 2% 1% 21
9 APPLIED NUMERICAL MATHEMATICS 7054 3% 1% 27
10 APPLIED MATHEMATICS AND COMPUTATION 7045 6% 0% 66

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 DIFFERENTIAL EQUATIONS 1269506 27% 15% 287 Search STOCHASTIC+DIFFERENTIAL+EQUATIONS Search STOCHASTIC+DIFFERENTIAL+EQUATIONS
2 MEAN SQUARE STABILITY 798982 6% 42% 66 Search MEAN+SQUARE+STABILITY Search MEAN+SQUARE+STABILITY
3 STOCHASTIC RUNGE KUTTA METHOD 658177 2% 100% 23 Search STOCHASTIC+RUNGE+KUTTA+METHOD Search STOCHASTIC+RUNGE+KUTTA+METHOD
4 WEAK APPROXIMATION 537312 4% 48% 39 Search WEAK+APPROXIMATION Search WEAK+APPROXIMATION
5 EULER MARUYAMA METHOD 534154 3% 67% 28 Search EULER+MARUYAMA+METHOD Search EULER+MARUYAMA+METHOD
6 STOCHASTIC THETA METHOD 491926 2% 90% 19 Search STOCHASTIC+THETA+METHOD Search STOCHASTIC+THETA+METHOD
7 STOCHASTIC DELAY DIFFERENTIAL EQUATIONS 455491 3% 43% 37 Search STOCHASTIC+DELAY+DIFFERENTIAL+EQUATIONS Search STOCHASTIC+DELAY+DIFFERENTIAL+EQUATIONS
8 EULER MARUYAMA 344579 2% 71% 17 Search EULER+MARUYAMA Search EULER+MARUYAMA
9 MS STABILITY 343397 1% 100% 12 Search MS+STABILITY Search MS+STABILITY
10 SEMI IMPLICIT EULER METHOD 314780 1% 100% 11 Search SEMI+IMPLICIT+EULER+METHOD Search SEMI+IMPLICIT+EULER+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 WANG, P , HONG, JL , XU, DS , (2017) CONSTRUCTION OF SYMPLECTIC RUNGE-KUTTA METHODS FOR STOCHASTIC HAMILTONIAN SYSTEMS.COMMUNICATIONS IN COMPUTATIONAL PHYSICS. VOL. 21. ISSUE 1. P. 237 -270 30 100% 0
2 WANG, P , (2015) A-STABLE RUNGE-KUTTA METHODS FOR STIFF STOCHASTIC DIFFERENTIAL EQUATIONS WITH MULTIPLICATIVE NOISE.COMPUTATIONAL & APPLIED MATHEMATICS. VOL. 34. ISSUE 2. P. 773 -792 29 97% 2
3 MAO, XR , (2016) CONVERGENCE RATES OF THE TRUNCATED EULER-MARUYAMA METHOD FOR STOCHASTIC DIFFERENTIAL EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 296. ISSUE . P. 362 -375 25 100% 1
4 LIU, LN , ZHU, QX , (2016) MEAN SQUARE STABILITY OF TWO CLASSES OF THETA METHOD FOR NEUTRAL STOCHASTIC DIFFERENTIAL DELAY EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 305. ISSUE . P. 55 -67 26 93% 0
5 GUO, Q , QIU, MM , MITSUI, T , (2016) ASYMPTOTIC MEAN-SQUARE STABILITY OF EXPLICIT RUNGE-KUTTA MARUYAMA METHODS FOR STOCHASTIC DELAY DIFFERENTIAL EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 296. ISSUE . P. 427 -442 27 87% 0
6 MAO, XR , (2015) THE TRUNCATED EULER-MARUYAMA METHOD FOR STOCHASTIC DIFFERENTIAL EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 290. ISSUE . P. 370 -384 23 100% 2
7 ZONG, XF , WU, FK , HUANG, CM , (2015) THETA SCHEMES FOR SDDES WITH NON-GLOBALLY LIPSCHITZ CONTINUOUS COEFFICIENTS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 278. ISSUE . P. 258 -277 26 90% 1
8 AMIRI, S , HOSSEINI, SM , (2015) A CLASS OF WEAK SECOND ORDER SPLIT-DRIFT STOCHASTIC RUNGE-KUTTA SCHEMES FOR STIFF SDE SYSTEMS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 275. ISSUE . P. 27 -43 23 100% 0
9 ZONG, XF , WU, FK , HUANG, CM , (2015) EXPONENTIAL MEAN SQUARE STABILITY OF THE THETA APPROXIMATIONS FOR NEUTRAL STOCHASTIC DIFFERENTIAL DELAY EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 286. ISSUE . P. 172 -185 22 96% 4
10 CANCINO, HD , BISCAY, RJ , JIMENEZ, JC , CARBONELL, F , OZAKI, T , (2010) HIGH ORDER LOCAL LINEARIZATION METHODS: AN APPROACH FOR CONSTRUCTING A-STABLE EXPLICIT SCHEMES FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH ADDITIVE NOISE.BIT NUMERICAL MATHEMATICS. VOL. 50. ISSUE 3. P. 509-539 32 76% 2

Classes with closest relation at Level 1


Rank Class id link
1 37426 METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION//MATH INFORMAT COMP//LYAPUNOV TYPE THEOREMS
2 14292 STOCHASTIC PERMANENCE//STOCHASTICALLY ULTIMATE BOUNDEDNESS//MOMENT BOUNDEDNESS
3 28764 MULTIVALUED STOCHASTIC DIFFERENTIAL EQUATION//REFLECTED STOCHASTIC DIFFERENTIAL EQUATION//MEAN DERIVATIVES
4 30114 STOCHASTIC OPERATIONAL MATRIX//UNIV MATEMAT MULTIDISCIPLINAR//RANDOM DIFFERENTIAL EQUATIONS
5 6796 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS//STOCHASTIC NAVIER STOKES EQUATIONS//STOCHASTIC WAVE EQUATION
6 20836 JOURNAL OF COMPLEXITY//ASYMPTOTICALLY OPTIMAL DESIGNS//PROBABILISTIC WIDTH
7 25862 AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES
8 14918 PANTOGRAPH EQUATION//BOUNDARY VALUE METHODS//NEUTRAL DELAY DIFFERENTIAL EQUATIONS
9 8902 MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE
10 4663 MARKOVIAN JUMP SYSTEMS//MARKOV JUMP SYSTEMS//MARKOV JUMP LINEAR SYSTEMS

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