Class information for:
Level 2: DOMAIN DECOMPOSITION//PRECONDITIONER//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
939 10969 22.5 43%


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
2241 1                   ALGEBRAIC MULTIGRID//DOMAIN DECOMPOSITION//MULTIGRID 2311
4176 1                   GMRES//MULTIPLE RIGHT HAND SIDES//NONSYMMETRIC LINEAR SYSTEMS 1833
9515 1                   MULTISPLITTING//MATRIX MULTISPLITTING//H MATRIX 1148
10839 1                   INCOMPLETE FACTORIZATION//SPARSE LINEAR SYSTEMS//SPARSE APPROXIMATE INVERSE 1032
11510 1                   SADDLE POINT PROBLEMS//SEMI CONVERGENCE//HERMITIAN AND SKEW HERMITIAN SPLITTING 977
13041 1                   MULTIFRONTAL METHOD//ELIMINATION TREE//SPARSE CHOLESKY FACTORIZATION 864
15282 1                   WAVEFORM RELAXATION//OPTIMIZED SCHWARZ METHODS//WAVEFORM RELAXATION METHOD 721
17717 1                   TRIDIAGONAL MATRICES//JORDANS FORM//TRIDIAGONAL LINEAR SYSTEMS 586
18531 1                   GENERAL BEM//EXPLICIT FINITE ELEMENT DYNAMICS//GENERAL NON LINEAR DIFFERENTIAL OPERATOR 548
21454 1                   RADIATION DIFFUSION//NEWTON KRYLOV//NEWTON KRYLOV METHODS 418
25711 1                   MULTIGRID AND MULTILEVEL METHODS//WEIGHTED MAX NORM//GENERALIZED SCHWARZ ALGORITHMS 274
32152 1                   DIFFERENTIAL OF MECHANICAL PROPERTIES//DIVIDE AND CONGUER ALGORITHM//INDUCTION AND RADIATION HEATING 143
34196 1                   ABS METHODS//WZ FACTORIZATION//ABS ALGORITHMS 114

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 DOMAIN DECOMPOSITION authKW 594704 5% 36% 602
2 PRECONDITIONER authKW 542085 4% 50% 388
3 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS journal 516244 4% 43% 434
4 SADDLE POINT PROBLEMS authKW 403016 2% 68% 214
5 PRECONDITIONING authKW 351113 6% 19% 667
6 SIAM JOURNAL ON SCIENTIFIC COMPUTING journal 345075 6% 19% 655
7 ALGEBRAIC MULTIGRID authKW 311127 2% 63% 177
8 KRYLOV SUBSPACE METHODS authKW 289865 2% 55% 188
9 ITERATIVE METHODS authKW 283999 5% 19% 539
10 MATHEMATICS, APPLIED WoSSC 275245 62% 2% 6835

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 275245 62% 2% 6835
2 Computer Science, Interdisciplinary Applications 13832 10% 1% 1107
3 Computer Science, Theory & Methods 12235 10% 0% 1070
4 Engineering, General 11369 8% 1% 898
5 Mathematics, Interdisciplinary Applications 11341 8% 1% 844
6 Mathematics 8982 14% 0% 1499
7 Computer Science, Software Engineering 7689 7% 0% 719
8 Mechanics 2397 6% 0% 671
9 Computer Science, Hardware & Architecture 1775 3% 0% 280
10 Physics, Mathematical 1485 4% 0% 432

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 STATE SCI ENGN COMP 74552 1% 24% 112
2 COMPUTAT MATH SCI ENGN COMP 70228 1% 17% 145
3 ATLAS 52132 0% 51% 37
4 SERV METROL NUCL 45372 0% 36% 45
5 PL SCI COMP 41826 1% 19% 81
6 COMPUTAT MATH 23366 1% 9% 91
7 FEI VSB 22531 0% 90% 9
8 MATH 21971 18% 0% 1921
9 MATH METHODS MODELS SCI PLICAT 19589 0% 31% 23
10 SCCM PROGRAM 15289 0% 50% 11

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 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 516244 4% 43% 434
2 SIAM JOURNAL ON SCIENTIFIC COMPUTING 345075 6% 19% 655
3 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 141669 3% 15% 330
4 NUMERISCHE MATHEMATIK 100595 3% 11% 329
5 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 89885 3% 9% 359
6 SIAM JOURNAL ON NUMERICAL ANALYSIS 81875 3% 9% 348
7 PARALLEL COMPUTING 79624 2% 11% 265
8 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 77456 1% 18% 154
9 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 70336 1% 21% 120
10 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 66188 4% 5% 493

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 DOMAIN DECOMPOSITION 594704 5% 36% 602 Search DOMAIN+DECOMPOSITION Search DOMAIN+DECOMPOSITION
2 PRECONDITIONER 542085 4% 50% 388 Search PRECONDITIONER Search PRECONDITIONER
3 SADDLE POINT PROBLEMS 403016 2% 68% 214 Search SADDLE+POINT+PROBLEMS Search SADDLE+POINT+PROBLEMS
4 PRECONDITIONING 351113 6% 19% 667 Search PRECONDITIONING Search PRECONDITIONING
5 ALGEBRAIC MULTIGRID 311127 2% 63% 177 Search ALGEBRAIC+MULTIGRID Search ALGEBRAIC+MULTIGRID
6 KRYLOV SUBSPACE METHODS 289865 2% 55% 188 Search KRYLOV+SUBSPACE+METHODS Search KRYLOV+SUBSPACE+METHODS
7 ITERATIVE METHODS 283999 5% 19% 539 Search ITERATIVE+METHODS Search ITERATIVE+METHODS
8 MULTIGRID 274081 3% 33% 297 Search MULTIGRID Search MULTIGRID
9 GMRES 246233 2% 51% 172 Search GMRES Search GMRES
10 WAVEFORM RELAXATION 223817 1% 77% 105 Search WAVEFORM+RELAXATION Search WAVEFORM+RELAXATION

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 DAVIS, TA , RAJAMANICKAM, S , SID-LAKHDAR, WM , (2016) A SURVEY OF DIRECT METHODS FOR SPARSE LINEAR SYSTEMS.ACTA NUMERICA. VOL. 25. ISSUE . P. 383 -566 313 88% 0
2 SIMONCINI, V , SZYLD, DB , (2007) RECENT COMPUTATIONAL DEVELOPMENTS IN KRYLOV SUBSPACE METHODS FOR LINEAR SYSTEMS.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. VOL. 14. ISSUE 1. P. 1 -59 193 84% 127
3 BENZI, M , (2002) PRECONDITIONING TECHNIQUES FOR LARGE LINEAR SYSTEMS: A SURVEY.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 182. ISSUE 2. P. 418 -477 162 90% 376
4 WATHEN, AJ , (2015) PRECONDITIONING.ACTA NUMERICA. VOL. 24. ISSUE . P. 329 -376 91 81% 4
5 MACKERLE, J , (1996) IMPLEMENTING FINITE ELEMENT METHODS ON SUPERCOMPUTERS, WORKSTATIONS AND PCS - A BIBLIOGRAPHY (1985-1995).ENGINEERING COMPUTATIONS. VOL. 13. ISSUE 1. P. 33 -+ 200 68% 2
6 LIANG, ZZ , ZHANG, GF , (2017) CONVERGENCE BEHAVIOR OF GENERALIZED PARAMETERIZED UZAWA METHOD FOR SINGULAR SADDLE-POINT PROBLEMS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 311. ISSUE . P. 293 -305 37 95% 1
7 SAAD, Y , VAN DER VORST, HA , (2000) ITERATIVE SOLUTION OF LINEAR SYSTEMS IN THE 20TH CENTURY.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 123. ISSUE 1-2. P. 1 -33 76 95% 159
8 DUFF, IS , VAN DER VORST, HA , (1999) DEVELOPMENTS AND TRENDS IN THE PARALLEL SOLUTION OF LINEAR SYSTEMS.PARALLEL COMPUTING. VOL. 25. ISSUE 13-14. P. 1931 -1970 88 90% 49
9 ZAMPINI, S , (2016) PCBDDC: A CLASS OF ROBUST DUAL-PRIMAL METHODS IN PETSC.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 38. ISSUE 5. P. S282 -S306 50 91% 1
10 HUANG, ZG , WANG, LG , XU, Z , CUI, JJ , (2016) GENERALIZED ASOR AND MODIFIED ASOR METHODS FOR SADDLE POINT PROBLEMS.MATHEMATICAL PROBLEMS IN ENGINEERING. VOL. . ISSUE . P. - 49 100% 0

Classes with closest relation at Level 2


Rank Class id link
1 458 DISCONTINUOUS GALERKIN METHOD//COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING//SUPERCONVERGENCE
2 943 LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE
3 1449 ABSORBING BOUNDARY CONDITIONS//PERFECTLY MATCHED LAYER//FINITE DIFFERENCE TIME DOMAIN FDTD METHOD
4 895 SHISHKIN MESH//SINGULAR PERTURBATION//MATHEMATICS, APPLIED
5 2477 EIGENVECTOR DERIVATIVES//STRUCTURAL DYNAMICS//COMPONENT MODE SYNTHESIS
6 525 COMPUTER SCIENCE, THEORY & METHODS//GRID COMPUTING//PARALLEL COMPUTING
7 3169 OPTIMAL CONTROL//STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM
8 1538 RUNGE KUTTA METHODS//GENERAL LINEAR METHODS//PHASE LAG
9 2135 ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS
10 2286 LINEAR ALGEBRA AND ITS APPLICATIONS//MAX ALGEBRA//SIGN PATTERN

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