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

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
1337 7904 22.3 44%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)



ID, lev.
above
Publications Label for level above
351 31738 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING//ISOGEOMETRIC ANALYSIS//INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Classes in level below (level 1)



ID, lev. below Publications Label for level below
2381 2196 GMRES//NONSYMMETRIC LINEAR SYSTEMS//KRYLOV SUBSPACE METHODS
4260 1742 BDDC//FETI DP//DOMAIN DECOMPOSITION
9903 1045 MATRIX MULTISPLITTING//MULTISPLITTING//GAOR METHOD
13248 786 ALGEBRAIC MULTIGRID//SMOOTHED AGGREGATION//ALGEBRAIC MULTIGRID AMG
13457 772 HERMITIAN AND SKEW HERMITIAN SPLITTING//SADDLE POINT PROBLEMS//SADDLE POINT PROBLEM
16957 561 WAVEFORM RELAXATION//PARAREAL ALGORITHM//OPTIMIZED SCHWARZ METHODS
21248 367 AUTOMATIC DIFFERENTIATION//COMPUTATIONAL DIFFERENTIATION//INTERFACE CONTRACTION
26012 219 RADIATION DIFFUSION//NEWTON ITERATIVE METHODS//NEWTON KRYLOV METHODS
26144 216 WEIGHTED MAX NORM//GENERALIZED SCHWARZ ALGORITHMS//PARABOLIC QUASI VARIATIONAL INEQUALITIES

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 ALGEBRAIC MULTIGRID Author keyword 199 66% 2% 183
2 DOMAIN DECOMPOSITION Author keyword 175 29% 7% 521
3 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS Journal 173 38% 5% 360
4 KRYLOV SUBSPACE METHODS Author keyword 150 48% 3% 227
5 MATRIX MULTISPLITTING Author keyword 124 100% 0% 35
6 BDDC Author keyword 110 95% 0% 37
7 SIAM JOURNAL ON SCIENTIFIC COMPUTING Journal 107 18% 7% 549
8 GMRES Author keyword 105 47% 2% 165
9 PRECONDITIONER Author keyword 100 40% 3% 199
10 WAVEFORM RELAXATION Author keyword 100 67% 1% 90

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 ALGEBRAIC MULTIGRID 199 66% 2% 183 Search ALGEBRAIC+MULTIGRID Search ALGEBRAIC+MULTIGRID
2 DOMAIN DECOMPOSITION 175 29% 7% 521 Search DOMAIN+DECOMPOSITION Search DOMAIN+DECOMPOSITION
3 KRYLOV SUBSPACE METHODS 150 48% 3% 227 Search KRYLOV+SUBSPACE+METHODS Search KRYLOV+SUBSPACE+METHODS
4 MATRIX MULTISPLITTING 124 100% 0% 35 Search MATRIX+MULTISPLITTING Search MATRIX+MULTISPLITTING
5 BDDC 110 95% 0% 37 Search BDDC Search BDDC
6 GMRES 105 47% 2% 165 Search GMRES Search GMRES
7 PRECONDITIONER 100 40% 3% 199 Search PRECONDITIONER Search PRECONDITIONER
8 WAVEFORM RELAXATION 100 67% 1% 90 Search WAVEFORM+RELAXATION Search WAVEFORM+RELAXATION
9 FETI DP 99 91% 1% 41 Search FETI+DP Search FETI+DP
10 HERMITIAN AND SKEW HERMITIAN SPLITTING 99 97% 0% 29 Search HERMITIAN+AND+SKEW+HERMITIAN+SPLITTING Search HERMITIAN+AND+SKEW+HERMITIAN+SPLITTING

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 PRECONDITIONERS 257 55% 4% 320
2 ITERATIVE METHODS 239 42% 6% 437
3 NONSYMMETRIC LINEAR SYSTEMS 201 44% 4% 352
4 SADDLE POINT PROBLEMS 199 62% 3% 205
5 GMRES 162 43% 4% 288
6 HERMITIAN SPLITTING METHODS 160 82% 1% 94
7 INEXACT 157 84% 1% 85
8 DEFINITE LINEAR SYSTEMS 106 75% 1% 76
9 SMOOTHED AGGREGATION 102 73% 1% 78
10 PARALLEL SOLUTION 97 65% 1% 91

Journals



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 173 38% 5% 360
2 SIAM JOURNAL ON SCIENTIFIC COMPUTING 107 18% 7% 549
3 NUMERISCHE MATHEMATIK 30 10% 4% 287
4 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 22 10% 3% 207
5 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 15 17% 1% 85
6 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 11 11% 1% 94
7 SOVIET JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING 4 25% 0% 14
8 JOURNAL OF NUMERICAL MATHEMATICS 1 10% 0% 13

Reviews



Title Publ. year Cit. Active references % act. ref.
to same field
Jacobian-free Newton-Krylov methods: a survey of approaches and applications 2004 469 117 50%
Preconditioning techniques for large linear systems: A survey 2002 318 178 81%
Recent computational developments in Krylov subspace methods for linear systems 2007 107 229 79%
A review of algebraic multigrid 2001 157 26 96%
Preconditioning discretizations of systems of partial differential equations 2011 33 59 69%
Iterative solution of linear systems in the 20th century 2000 143 80 94%
MULTIGRID METHODS FOR OBSTACLE PROBLEMS 2009 23 42 71%
Non-overlapping domain decomposition methods in structural mechanics 2006 36 42 83%
High Performance Inverse Preconditioning 2009 14 35 86%
Multigrid Methods for PDE Optimization 2009 33 55 42%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 STATE SCI ENGN COMP 29 24% 1.3% 104
2 COMPUTAT MATH SCI ENGN COMP 24 17% 1.6% 129
3 FEI VSB 21 90% 0.1% 9
4 PL SCI COMP 15 18% 0.9% 73
5 SERV METROL NUCL 13 31% 0.4% 35
6 FEECS VSB 9 83% 0.1% 5
7 SUPERCOMP MASSIVELY PARALLEL PLICAT 8 75% 0.1% 6
8 SCCM PROGRAM 8 50% 0.1% 11
9 AEROSP STRUCT 6 18% 0.4% 31
10 ANAL NUMER OPTIMISAT 6 34% 0.2% 15

Related classes at same level (level 2)



Rank Relatedness score Related classes
1 0.0000026195 JORDANS FORM//TRIDIAGONAL MATRICES//ANTI TRIDIAGONAL MATRICES
2 0.0000021845 ISOGEOMETRIC ANALYSIS//COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING//A POSTERIORI ERROR ESTIMATION
3 0.0000020921 MACHINES MECH//MEMBRANE HYPOTHESIS//A MOLTEN CARBONATE
4 0.0000019254 LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//DRAZIN INVERSE
5 0.0000012004 JOURNAL OF COMPUTATIONAL PHYSICS//INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS//COMPUTERS & FLUIDS
6 0.0000010582 ABSORBING BOUNDARY CONDITIONS//PERFECTLY MATCHED LAYER//NUMERICAL DISPERSION
7 0.0000010545 IEEE TRANSACTIONS ON MAGNETICS//COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING//EDGE ELEMENTS
8 0.0000009947 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
9 0.0000009837 NORMAL COMPLIANCE//HEMIVARIATIONAL INEQUALITIES//ETSI IND TELECOMUNICAC
10 0.0000008968 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS