Class information for:
Level 1: INTRINSIC PARALLELISM//INTEGRAL MEAN METHOD//DOMAIN DECOMPOSITION PROCEDURES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25094 291 15.7 37%


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
895 2             SHISHKIN MESH//SINGULAR PERTURBATION//MATHEMATICS, APPLIED 11341
25094 1                   INTRINSIC PARALLELISM//INTEGRAL MEAN METHOD//DOMAIN DECOMPOSITION PROCEDURES 291

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 INTRINSIC PARALLELISM authKW 1043143 4% 76% 13
2 INTEGRAL MEAN METHOD authKW 629593 2% 100% 6
3 DOMAIN DECOMPOSITION PROCEDURES authKW 524661 2% 100% 5
4 OPERATOR DIFFERENCE SCHEMES authKW 516583 3% 62% 8
5 FORWARD BACKWARD HEAT EQUATION authKW 472191 2% 75% 6
6 ALTERNATING DIFFERENCE SCHEMES authKW 419728 1% 100% 4
7 PARALLEL DIFFERENCE SCHEME authKW 419728 1% 100% 4
8 SAULYEV SCHEMES authKW 419728 1% 100% 4
9 SPLITTING SCHEMES authKW 244832 2% 33% 7
10 MODIFIED UPWIND DIFFERENCES authKW 236096 1% 75% 3

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 9385 70% 0% 205
2 Mathematics 365 16% 0% 48
3 Physics, Mathematical 260 9% 0% 26
4 Computer Science, Theory & Methods 66 5% 0% 14
5 Multidisciplinary Sciences 64 3% 0% 8
6 Mathematics, Interdisciplinary Applications 63 4% 0% 11
7 Computer Science, Interdisciplinary Applications 49 4% 0% 12
8 Mechanics 23 4% 0% 12
9 Engineering, General 18 2% 0% 7
10 Computer Science, Software Engineering 8 2% 0% 5

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 C4 ISR 104932 0% 100% 1
2 INFORMAT SCI MATH PLIQUEES 104932 0% 100% 1
3 MATH MECH INFOMAT 104932 0% 100% 1
4 NUCL POWER ENGN DEV SAFETY PROBLEMS 104932 0% 100% 1
5 DIPARTIMENTO INGN MATEMAT INFORMAT 52465 0% 50% 1
6 MATH INFOR SCI 52465 0% 50% 1
7 RDCPS 52465 0% 50% 1
8 COMPUTAT PHYS 44138 9% 2% 27
9 DEV PARALLEL SOFTWARE 34976 0% 33% 1
10 FTSM 34976 0% 33% 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 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 40226 13% 1% 39
2 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 11177 4% 1% 12
3 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 9644 4% 1% 13
4 JOURNAL OF COMPUTATIONAL MATHEMATICS 6349 3% 1% 9
5 APPLIED MATHEMATICS AND COMPUTATION 5744 11% 0% 31
6 SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 3148 1% 1% 4
7 COMPUTATIONAL METHODS IN APPLIED MATHEMATICS 3128 1% 1% 2
8 DIFFERENTIAL EQUATIONS 2799 3% 0% 10
9 APPLIED NUMERICAL MATHEMATICS 2272 3% 0% 8
10 INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 1831 1% 1% 3

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 INTRINSIC PARALLELISM 1043143 4% 76% 13 Search INTRINSIC+PARALLELISM Search INTRINSIC+PARALLELISM
2 INTEGRAL MEAN METHOD 629593 2% 100% 6 Search INTEGRAL+MEAN+METHOD Search INTEGRAL+MEAN+METHOD
3 DOMAIN DECOMPOSITION PROCEDURES 524661 2% 100% 5 Search DOMAIN+DECOMPOSITION+PROCEDURES Search DOMAIN+DECOMPOSITION+PROCEDURES
4 OPERATOR DIFFERENCE SCHEMES 516583 3% 62% 8 Search OPERATOR+DIFFERENCE+SCHEMES Search OPERATOR+DIFFERENCE+SCHEMES
5 FORWARD BACKWARD HEAT EQUATION 472191 2% 75% 6 Search FORWARD+BACKWARD+HEAT+EQUATION Search FORWARD+BACKWARD+HEAT+EQUATION
6 ALTERNATING DIFFERENCE SCHEMES 419728 1% 100% 4 Search ALTERNATING+DIFFERENCE+SCHEMES Search ALTERNATING+DIFFERENCE+SCHEMES
7 PARALLEL DIFFERENCE SCHEME 419728 1% 100% 4 Search PARALLEL+DIFFERENCE+SCHEME Search PARALLEL+DIFFERENCE+SCHEME
8 SAULYEV SCHEMES 419728 1% 100% 4 Search SAULYEV+SCHEMES Search SAULYEV+SCHEMES
9 SPLITTING SCHEMES 244832 2% 33% 7 Search SPLITTING+SCHEMES Search SPLITTING+SCHEMES
10 MODIFIED UPWIND DIFFERENCES 236096 1% 75% 3 Search MODIFIED+UPWIND+DIFFERENCES Search MODIFIED+UPWIND+DIFFERENCES

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 LIAO, HL , SHI, HS , SUN, ZZ , (2009) CORRECTED EXPLICIT-IMPLICIT DOMAIN DECOMPOSITION ALGORITHMS FOR TWO-DIMENSIONAL SEMILINEAR PARABOLIC EQUATIONS.SCIENCE IN CHINA SERIES A-MATHEMATICS. VOL. 52. ISSUE 11. P. 2362 -2388 14 100% 6
2 ZHANG, QJ , WANG, WQ , (2009) A FOUR-ORDER ALTERNATING SEGMENT CRANK-NICOLSON SCHEME FOR THE DISPERSIVE EQUATION.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 57. ISSUE 2. P. 283 -289 14 100% 2
3 YANG, DP , (2010) PARALLEL DOMAIN DECOMPOSITION PROCEDURES OF IMPROVED D-D TYPE FOR PARABOLIC PROBLEMS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 233. ISSUE 11. P. 2779-2794 16 80% 3
4 GUO, GY , LU, SJ , (2016) UNCONDITIONAL STABILITY OF ALTERNATING DIFFERENCE SCHEMES WITH INTRINSIC PARALLELISM FOR TWO-DIMENSIONAL FOURTH-ORDER DIFFUSION EQUATION.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 71. ISSUE 10. P. 1944 -1959 16 67% 0
5 SUN, J , (2010) NUMERICAL SCHEMES FOR THE FORWARD-BACKWARD HEAT EQUATION.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 87. ISSUE 3. P. 552-564 12 92% 27
6 SUN, J , CHENG, XL , (2010) ITERATIVE METHODS FOR A FORWARD-BACKWARD HEAT EQUATION IN TWO-DIMENSION.APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B. VOL. 25. ISSUE 1. P. 101-111 12 100% 0
7 ZHUANG, Y , (2007) AN ALTERNATING EXPLICIT-IMPLICIT DOMAIN DECOMPOSITION METHOD FOR THE PARALLEL SOLUTION OF PARABOLIC EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 206. ISSUE 1. P. 549 -566 14 88% 12
8 ZHOU, ZG , LIANG, D , (2016) THE MASS-PRESERVING S-DDM SCHEME FOR TWO-DIMENSIONAL PARABOLIC EQUATIONS.COMMUNICATIONS IN COMPUTATIONAL PHYSICS. VOL. 19. ISSUE 2. P. 411 -441 10 100% 0
9 GUO, GY , LU, SJ , LIU, B , (2015) UNCONDITIONAL STABILITY OF ALTERNATING DIFFERENCE SCHEMES WITH VARIABLE TIME STEPLENGTHES FOR DISPERSIVE EQUATION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 262. ISSUE . P. 249 -259 11 92% 0
10 WANG, WQ , FU, SJ , (2006) AN UNCONDITIONALLY STABLE ALTERNATING SEGMENT DIFFERENCE SCHEME OF EIGHT POINTS FOR THE DISPERSIVE EQUATION.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. VOL. 67. ISSUE 3. P. 435-447 12 100% 3

Classes with closest relation at Level 1


Rank Class id link
1 26010 LINEAR HYPERBOLIC EQUATION//TELEGRAPH EQUATION//SINE GORDON EQUATION
2 18023 HIGH ORDER COMPACT SCHEME//UNSTEADY CONVECTION DIFFUSION EQUATION//HIGH PERFORMANCE SCI COMP COMP SIMULAT
3 32017 GENERALIZED GREENS FUNCTION//MULTIRATE TIME STEPPING//OPERATOR DECOMPOSITION
4 15282 WAVEFORM RELAXATION//OPTIMIZED SCHWARZ METHODS//WAVEFORM RELAXATION METHOD
5 30091 ANALYTIC NUMERICAL SOLUTION//COUPLED DIFFUSION PROBLEM//A PRIORI ERROR BOUND
6 34256 ASYMPTOTIC NATURE//EXTENDED REAL STABILITY BOUNDARIES//LAMBERTS METHOD
7 22349 BURGERS EQUATION//GENERALIZED TRAPEZOIDAL FORMULAS//MODIFIED BURGERS EQUATION
8 8961 FINITE VOLUME ELEMENT METHOD//CHARACTERISTIC METHODS//EULERIAN LAGRANGIAN METHOD
9 21454 RADIATION DIFFUSION//NEWTON KRYLOV//NEWTON KRYLOV METHODS
10 24665 AIR POLLUTION MODELS//TROTTER KATO PRODUCT FORMULA//OPERATOR NORM CONVERGENCE

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