Class information for:
Level 1: WAVEFORM RELAXATION//OPTIMIZED SCHWARZ METHODS//WAVEFORM RELAXATION METHOD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15282 721 21.9 46%


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
939 2             DOMAIN DECOMPOSITION//PRECONDITIONER//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 10969
15282 1                   WAVEFORM RELAXATION//OPTIMIZED SCHWARZ METHODS//WAVEFORM RELAXATION METHOD 721

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 WAVEFORM RELAXATION authKW 2908495 13% 71% 97
2 OPTIMIZED SCHWARZ METHODS authKW 813111 3% 80% 24
3 WAVEFORM RELAXATION METHOD authKW 812437 4% 71% 27
4 PARAREAL ALGORITHM authKW 728014 3% 90% 19
5 PARAREAL authKW 560512 2% 88% 15
6 DOMAIN DECOMPOSITION authKW 469251 19% 8% 137
7 DOMAIN DECOMPOSITION METHOD DDM authKW 403313 3% 48% 20
8 SCHWARZ WAVEFORM RELAXATION authKW 394178 2% 85% 11
9 OPTIMIZED TRANSMISSION CONDITIONS authKW 381150 1% 100% 9
10 TIME PARALLELIZATION authKW 381150 1% 100% 9

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 13038 53% 0% 383
2 Computer Science, Interdisciplinary Applications 1144 11% 0% 81
3 Mathematics, Interdisciplinary Applications 761 8% 0% 56
4 Engineering, Electrical & Electronic 471 17% 0% 123
5 Mathematics 353 11% 0% 79
6 Computer Science, Hardware & Architecture 296 4% 0% 28
7 Physics, Mathematical 290 6% 0% 45
8 Engineering, General 285 5% 0% 38
9 Computer Science, Software Engineering 213 4% 0% 32
10 Telecommunications 198 5% 0% 36

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 CIAMP 84700 0% 100% 2
2 INFORMAT PROC SYST BRANCH 84700 0% 100% 2
3 HIGH PERFORMANCE COMP UNIT 75619 1% 36% 5
4 COSC 56465 0% 67% 2
5 THERMODYNAM BLDG ENERGY SYST 56465 0% 67% 2
6 SECT MATH 56281 5% 4% 36
7 AERONAUT RUMENT ELECT ENGN 42350 0% 100% 1
8 ANGEW ANAL NUERI E SIMULAT 42350 0% 100% 1
9 BU RADAR SYST 42350 0% 100% 1
10 CAIMAN 42350 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 SIAM JOURNAL ON SCIENTIFIC COMPUTING 29394 7% 1% 49
2 SIAM JOURNAL ON NUMERICAL ANALYSIS 21857 6% 1% 46
3 ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 9374 2% 1% 17
4 APPLIED NUMERICAL MATHEMATICS 7588 3% 1% 23
5 COMMUNICATIONS IN APPLIED MATHEMATICS AND COMPUTATIONAL SCIENCE 6347 0% 5% 3
6 BIT NUMERICAL MATHEMATICS 5551 2% 1% 14
7 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 5377 5% 0% 36
8 VLSI SYSTEMS DESIGN 4575 0% 5% 2
9 BAUPHYSIK 4031 1% 2% 5
10 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 4023 1% 1% 9

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 WAVEFORM RELAXATION 2908495 13% 71% 97 Search WAVEFORM+RELAXATION Search WAVEFORM+RELAXATION
2 OPTIMIZED SCHWARZ METHODS 813111 3% 80% 24 Search OPTIMIZED+SCHWARZ+METHODS Search OPTIMIZED+SCHWARZ+METHODS
3 WAVEFORM RELAXATION METHOD 812437 4% 71% 27 Search WAVEFORM+RELAXATION+METHOD Search WAVEFORM+RELAXATION+METHOD
4 PARAREAL ALGORITHM 728014 3% 90% 19 Search PARAREAL+ALGORITHM Search PARAREAL+ALGORITHM
5 PARAREAL 560512 2% 88% 15 Search PARAREAL Search PARAREAL
6 DOMAIN DECOMPOSITION 469251 19% 8% 137 Search DOMAIN+DECOMPOSITION Search DOMAIN+DECOMPOSITION
7 DOMAIN DECOMPOSITION METHOD DDM 403313 3% 48% 20 Search DOMAIN+DECOMPOSITION+METHOD+DDM Search DOMAIN+DECOMPOSITION+METHOD+DDM
8 SCHWARZ WAVEFORM RELAXATION 394178 2% 85% 11 Search SCHWARZ+WAVEFORM+RELAXATION Search SCHWARZ+WAVEFORM+RELAXATION
9 OPTIMIZED TRANSMISSION CONDITIONS 381150 1% 100% 9 Search OPTIMIZED+TRANSMISSION+CONDITIONS Search OPTIMIZED+TRANSMISSION+CONDITIONS
10 TIME PARALLELIZATION 381150 1% 100% 9 Search TIME+PARALLELIZATION Search TIME+PARALLELIZATION

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 BENNEQUIN, D , GANDER, MJ , GOUARIN, L , HALPERN, L , (2016) OPTIMIZED SCHWARZ WAVEFORM RELAXATION FOR ADVECTION REACTION DIFFUSION EQUATIONS IN TWO DIMENSIONS.NUMERISCHE MATHEMATIK. VOL. 134. ISSUE 3. P. 513 -567 30 94% 0
2 GANDER, MJ , XU, YX , (2016) OPTIMIZED SCHWARZ METHODS FOR MODEL PROBLEMS WITH CONTINUOUSLY VARIABLE COEFFICIENTS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 38. ISSUE 5. P. A2964 -A2986 26 93% 0
3 GANDER, MJ , XU, YX , (2017) OPTIMIZED SCHWARZ METHODS WITH NONOVERLAPPING CIRCULAR DOMAIN DECOMPOSITION.MATHEMATICS OF COMPUTATION. VOL. 86. ISSUE 304. P. 637 -660 29 81% 0
4 GANDER, MJ , (2008) SCHWARZ METHODS OVER THE COURSE OF TIME.ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. VOL. 31. ISSUE . P. 228 -255 30 86% 26
5 GANDER, MJ , XU, YX , (2014) OPTIMIZED SCHWARZ METHODS FOR CIRCULAR DOMAIN DECOMPOSITIONS WITH OVERLAP.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 52. ISSUE 4. P. 1981 -2004 27 79% 0
6 LOISEL, S , (2013) CONDITION NUMBER ESTIMATES FOR THE NONOVERLAPPING OPTIMIZED SCHWARZ METHOD AND THE 2-LAGRANGE MULTIPLIER METHOD FOR GENERAL DOMAINS AND CROSS POINTS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 51. ISSUE 6. P. 3062 -3083 22 96% 5
7 WU, SL , HUANG, TZ , (2013) QUASI-OPTIMIZED OVERLAPPING SCHWARZ WAVEFORM RELAXATION ALGORITHM FOR PDES WITH TIME-DELAY.COMMUNICATIONS IN COMPUTATIONAL PHYSICS. VOL. 14. ISSUE 3. P. 780 -800 22 88% 0
8 WU, SL , (2016) CONVERGENCE ANALYSIS OF THE PARAREAL-EULER ALGORITHM FOR SYSTEMS OF ODES WITH COMPLEX EIGENVALUES.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 67. ISSUE 2. P. 644 -668 22 81% 0
9 SONG, B , JIANG, YL , (2014) ANALYSIS OF A NEW PARAREAL ALGORITHM BASED ON WAVEFORM RELAXATION METHOD FOR TIME-PERIODIC PROBLEMS.NUMERICAL ALGORITHMS. VOL. 67. ISSUE 3. P. 599 -622 21 84% 1
10 WU, SL , HUANG, CM , (2009) CONVERGENCE ANALYSIS OF WAVEFORM RELAXATION METHODS FOR NEUTRAL DIFFERENTIAL-FUNCTIONAL SYSTEMS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 223. ISSUE 1. P. 263 -277 19 100% 3

Classes with closest relation at Level 1


Rank Class id link
1 25094 INTRINSIC PARALLELISM//INTEGRAL MEAN METHOD//DOMAIN DECOMPOSITION PROCEDURES
2 2241 ALGEBRAIC MULTIGRID//DOMAIN DECOMPOSITION//MULTIGRID
3 7131 HELMHOLTZ EQUATION//ULTRA WEAK VARIATIONAL FORMULATION//WAVE BASED METHOD
4 25711 MULTIGRID AND MULTILEVEL METHODS//WEIGHTED MAX NORM//GENERALIZED SCHWARZ ALGORITHMS
5 32017 GENERALIZED GREENS FUNCTION//MULTIRATE TIME STEPPING//OPERATOR DECOMPOSITION
6 9515 MULTISPLITTING//MATRIX MULTISPLITTING//H MATRIX
7 3684 MAXWELLS EQUATIONS//EDGE ELEMENTS//EDDY CURRENT PROBLEM
8 30975 HIERARCHIC CONTROL//STACKELBERG NASH STRATEGIES//LOW REGRET CONTROL
9 14918 PANTOGRAPH EQUATION//BOUNDARY VALUE METHODS//NEUTRAL DELAY DIFFERENTIAL EQUATIONS
10 4898 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS

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