Class information for:
Level 1: WAVEFORM RELAXATION//PARAREAL ALGORITHM//PARAREAL

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
89 3       MATHEMATICS, APPLIED//LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON NUMERICAL ANALYSIS 80538
1605 2             RUNGE KUTTA METHODS//DIFFERENTIAL ALGEBRAIC EQUATIONS//GENERAL LINEAR METHODS 7350
24293 1                   WAVEFORM RELAXATION//PARAREAL ALGORITHM//PARAREAL 340

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 WAVEFORM RELAXATION authKW 4119745 24% 56% 80
2 PARAREAL ALGORITHM authKW 1685376 6% 91% 20
3 PARAREAL authKW 1501669 5% 90% 18
4 WAVEFORM RELAXATION METHOD authKW 1334801 7% 60% 24
5 PARALLEL IN TIME authKW 701006 3% 69% 11
6 TIME PARALLELIZATION authKW 659169 2% 89% 8
7 DYNAMIC ITERATION authKW 500550 3% 60% 9
8 PARALLEL TIME INTEGRATION authKW 208564 1% 75% 3
9 TIME PERIODIC PROBLEMS authKW 208564 1% 75% 3
10 CIAMP address 185392 1% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 6669 55% 0% 188
2 Computer Science, Hardware & Architecture 684 8% 0% 28
3 Computer Science, Interdisciplinary Applications 654 12% 0% 42
4 Computer Science, Theory & Methods 285 9% 0% 29
5 Computer Science, Software Engineering 256 7% 0% 23
6 Mathematics, Interdisciplinary Applications 218 6% 0% 21
7 Engineering, Electrical & Electronic 184 16% 0% 54
8 Physics, Mathematical 148 6% 0% 22
9 Engineering, General 76 4% 0% 14
10 Mathematics 49 7% 0% 23

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CIAMP 185392 1% 100% 2
2 DIP ING INFORMAT MAT PL 123593 1% 67% 2
3 AERONAUT RUMENT ELECT ENGN 92696 0% 100% 1
4 CDCS ICJ 92696 0% 100% 1
5 EQUAT DERIVEES PARTIELLES NON LINEAI HI 92696 0% 100% 1
6 LASERDYNAM 92696 0% 100% 1
7 MANON 92696 0% 100% 1
8 MATH SECT MATHICSE 92696 0% 100% 1
9 PLICAT SPECIF INTEGRATED CIRCUITS SYST 92696 0% 100% 1
10 AVIAT CONTROL ENGN 92694 1% 50% 2

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMMUNICATIONS IN APPLIED MATHEMATICS AND COMPUTATIONAL SCIENCE 21487 1% 6% 4
2 SIAM JOURNAL ON SCIENTIFIC COMPUTING 13721 7% 1% 23
3 VLSI SYSTEMS DESIGN 10017 1% 5% 2
4 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 6972 2% 1% 8
5 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 6475 8% 0% 27
6 BIT 6374 1% 1% 5
7 SIAM JOURNAL ON NUMERICAL ANALYSIS 4999 4% 0% 15
8 APPLIED NUMERICAL MATHEMATICS 4367 4% 0% 12
9 IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS 3137 4% 0% 13
10 BIT NUMERICAL MATHEMATICS 2988 2% 0% 7

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 WAVEFORM RELAXATION 4119745 24% 56% 80 Search WAVEFORM+RELAXATION Search WAVEFORM+RELAXATION
2 PARAREAL ALGORITHM 1685376 6% 91% 20 Search PARAREAL+ALGORITHM Search PARAREAL+ALGORITHM
3 PARAREAL 1501669 5% 90% 18 Search PARAREAL Search PARAREAL
4 WAVEFORM RELAXATION METHOD 1334801 7% 60% 24 Search WAVEFORM+RELAXATION+METHOD Search WAVEFORM+RELAXATION+METHOD
5 PARALLEL IN TIME 701006 3% 69% 11 Search PARALLEL+IN+TIME Search PARALLEL+IN+TIME
6 TIME PARALLELIZATION 659169 2% 89% 8 Search TIME+PARALLELIZATION Search TIME+PARALLELIZATION
7 DYNAMIC ITERATION 500550 3% 60% 9 Search DYNAMIC+ITERATION Search DYNAMIC+ITERATION
8 PARALLEL TIME INTEGRATION 208564 1% 75% 3 Search PARALLEL+TIME+INTEGRATION Search PARALLEL+TIME+INTEGRATION
9 TIME PERIODIC PROBLEMS 208564 1% 75% 3 Search TIME+PERIODIC+PROBLEMS Search TIME+PERIODIC+PROBLEMS
10 CONTINUOUS TIME ITERATION 185392 1% 100% 2 Search CONTINUOUS+TIME+ITERATION Search CONTINUOUS+TIME+ITERATION

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 7002 DOMAIN DECOMPOSITION//BDDC//FETI DP
2 4178 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//STRONG STABILITY PRESERVING
3 8942 MULTISPLITTING//MATRIX MULTISPLITTING//H MATRIX
4 15747 PANTOGRAPH EQUATION//NEUTRAL DELAY DIFFERENTIAL EQUATIONS//NEUTRAL DELAY INTEGRO DIFFERENTIAL EQUATIONS
5 27806 EQUATION FREE//EQUATION FREE METHODS//PROJECTIVE INTEGRATION
6 18225 EXPONENTIAL INTEGRATORS//MATRIX FUNCTIONS//MATRIX EXPONENTIAL
7 20048 CASCADIC MULTIGRID//CASCADIC MULTIGRID METHOD//RESOLVENT CONDITION
8 32194 PARTIAL ELEMENT EQUIVALENT CIRCUIT PEEC//PARTIAL ELEMENT EQUIVALENT CIRCUIT PEEC METHOD//ON CHIP CIRCUITS
9 11991 SADDLE POINT PROBLEMS//SEMI CONVERGENCE//HERMITIAN AND SKEW HERMITIAN SPLITTING
10 22915 TRIDIAGONAL LINEAR SYSTEMS//WZ FACTORIZATION//TRIDIAGONAL SYSTEMS

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