Class information for:
Level 1: MULTIGRID AND MULTILEVEL METHODS//WEIGHTED MAX NORM//GENERALIZED SCHWARZ ALGORITHMS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
25711 274 21.3 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
939 2             DOMAIN DECOMPOSITION//PRECONDITIONER//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 10969
25711 1                   MULTIGRID AND MULTILEVEL METHODS//WEIGHTED MAX NORM//GENERALIZED SCHWARZ ALGORITHMS 274

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 MULTIGRID AND MULTILEVEL METHODS authKW 445766 2% 67% 6
2 WEIGHTED MAX NORM authKW 348254 2% 63% 5
3 GENERALIZED SCHWARZ ALGORITHMS authKW 334328 1% 100% 3
4 PARABOLIC QUASI VARIATIONAL INEQUALITIES authKW 334328 1% 100% 3
5 FUNDAMENTAL PL MATH ORAN LMFAO address 250744 1% 75% 3
6 TWO SIDED OBSTACLE PROBLEM authKW 250744 1% 75% 3
7 SCHWARZ ALTERNATING METHOD authKW 250732 3% 25% 9
8 ADDITIVE SCHWARZ ALGORITHM authKW 222885 1% 100% 2
9 BENSOUSSAN LIONS ALGORITHM authKW 222885 1% 100% 2
10 COMPLEX HIERARCHICAL OPTIMIZATION authKW 222885 1% 100% 2

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 11012 78% 0% 215
2 Mathematics 307 16% 0% 43
3 Operations Research & Management Science 254 7% 0% 20
4 Computer Science, Software Engineering 129 5% 0% 15
5 Mathematics, Interdisciplinary Applications 54 4% 0% 10
6 Engineering, General 47 4% 0% 10
7 Mechanics 31 5% 0% 13
8 Computer Science, Theory & Methods 24 3% 0% 9
9 Multidisciplinary Sciences 24 2% 0% 5
10 Automation & Control Systems 13 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 FUNDAMENTAL PL MATH ORAN LMFAO 250744 1% 75% 3
2 CEA SERV MATH PL 111443 0% 100% 1
3 FV PTS 111443 0% 100% 1
4 HEILBRONNER STR 10 111443 0% 100% 1
5 LMFAO 111443 0% 100% 1
6 COMPUTAT DATA ENABLED SCI ENGN 55720 0% 50% 1
7 EA 4269 55720 0% 50% 1
8 PROJECT TEAM OPALE 55720 0% 50% 1
9 COMPUTAT MATH IND COMMERCE 37146 0% 33% 1
10 MATH WISSEN RECHEN 37146 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 NUMERISCHE MATHEMATIK 14939 7% 1% 20
2 RAIRO-ANALYSE NUMERIQUE-NUMERICAL ANALYSIS 13734 1% 4% 3
3 OPTIMIZATION METHODS & SOFTWARE 11214 4% 1% 10
4 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 7197 4% 1% 11
5 SIAM JOURNAL ON NUMERICAL ANALYSIS 5322 5% 0% 14
6 NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 3943 1% 1% 3
7 IMA JOURNAL OF NUMERICAL ANALYSIS 3765 3% 0% 7
8 JOURNAL OF COMPUTATIONAL MATHEMATICS 2993 2% 0% 6
9 SIAM JOURNAL ON SCIENTIFIC COMPUTING 2600 3% 0% 9
10 ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 2132 2% 0% 5

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 MULTIGRID AND MULTILEVEL METHODS 445766 2% 67% 6 Search MULTIGRID+AND+MULTILEVEL+METHODS Search MULTIGRID+AND+MULTILEVEL+METHODS
2 WEIGHTED MAX NORM 348254 2% 63% 5 Search WEIGHTED+MAX+NORM Search WEIGHTED+MAX+NORM
3 GENERALIZED SCHWARZ ALGORITHMS 334328 1% 100% 3 Search GENERALIZED+SCHWARZ+ALGORITHMS Search GENERALIZED+SCHWARZ+ALGORITHMS
4 PARABOLIC QUASI VARIATIONAL INEQUALITIES 334328 1% 100% 3 Search PARABOLIC+QUASI+VARIATIONAL+INEQUALITIES Search PARABOLIC+QUASI+VARIATIONAL+INEQUALITIES
5 TWO SIDED OBSTACLE PROBLEM 250744 1% 75% 3 Search TWO+SIDED+OBSTACLE+PROBLEM Search TWO+SIDED+OBSTACLE+PROBLEM
6 SCHWARZ ALTERNATING METHOD 250732 3% 25% 9 Search SCHWARZ+ALTERNATING+METHOD Search SCHWARZ+ALTERNATING+METHOD
7 ADDITIVE SCHWARZ ALGORITHM 222885 1% 100% 2 Search ADDITIVE+SCHWARZ+ALGORITHM Search ADDITIVE+SCHWARZ+ALGORITHM
8 BENSOUSSAN LIONS ALGORITHM 222885 1% 100% 2 Search BENSOUSSAN+LIONS+ALGORITHM Search BENSOUSSAN+LIONS+ALGORITHM
9 COMPLEX HIERARCHICAL OPTIMIZATION 222885 1% 100% 2 Search COMPLEX+HIERARCHICAL+OPTIMIZATION Search COMPLEX+HIERARCHICAL+OPTIMIZATION
10 QUASIVARIATIONAL INEQUALITY SYSTEM 222885 1% 100% 2 Search QUASIVARIATIONAL+INEQUALITY+SYSTEM Search QUASIVARIATIONAL+INEQUALITY+SYSTEM

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 BADEA, L , (2015) CONVERGENCE RATE OF SOME HYBRID MULTIGRID METHODS FOR VARIATIONAL INEQUALITIES.JOURNAL OF NUMERICAL MATHEMATICS. VOL. 23. ISSUE 3. P. 195 -210 14 88% 0
2 BADEA, L , (2008) SCHWARZ METHODS FOR INEQUALITIES WITH CONTRACTION OPERATORS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 215. ISSUE 1. P. 196 -219 15 94% 2
3 BADEA, L , (2013) MULTIGRID METHODS FOR SOME QUASI-VARIATIONAL INEQUALITIES.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S. VOL. 6. ISSUE 6. P. 1457-1471 13 93% 1
4 KOCVARA, M , MOHAMMED, S , (2016) A FIRST-ORDER MULTIGRID METHOD FOR BOUND-CONSTRAINED CONVEX OPTIMIZATION.OPTIMIZATION METHODS & SOFTWARE. VOL. 31. ISSUE 3. P. 622 -644 15 75% 0
5 BADEA, L , (2014) GLOBAL CONVERGENCE RATE OF A STANDARD MULTIGRID METHOD FOR VARIATIONAL INEQUALITIES.IMA JOURNAL OF NUMERICAL ANALYSIS. VOL. 34. ISSUE 1. P. 197-216 13 76% 1
6 BOULAARAS, S , (2016) EXISTENCE AND UNIQUENESS FOR SOLUTIONS OF PARABOLIC QUASI-VARIATIONAL INEQUALITIES WITH IMPULSE CONTROL AND NONLINEAR SOURCE TERMS.JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS. VOL. 9. ISSUE 2. P. 568 -583 10 91% 0
7 BADEA, L , (2006) CONVERGENCE RATE OF A SCHWARZ MULTILEVEL METHOD FOR THE CONSTRAINED MINIMIZATION OF NONQUADRATIC FUNCTIONALS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 44. ISSUE 2. P. 449 -477 15 75% 12
8 XU, HR , ZENG, JP , (2015) FINITE ALGORITHMS FOR THE NUMERICAL SOLUTIONS OF A CLASS OF NONLINEAR COMPLEMENTARITY PROBLEMS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 14 64% 0
9 BOULAARAS, S , HAIOUR, M , (2013) THE MAXIMUM NORM ANALYSIS OF AN OVERLAPPING SCHWARZ METHOD FOR PARABOLIC QUASI-VARIATIONAL INEQUALITIES RELATED TO IMPULSE CONTROL PROBLEM WITH THE MIXED BOUNDARY CONDITIONS.APPLIED MATHEMATICS & INFORMATION SCIENCES. VOL. 7. ISSUE 1. P. 343 -353 9 100% 0
10 HARBI, A , (2016) MAXIMUM NORM ANALYSIS OF A NONMATCHING GRIDS METHOD FOR A CLASS OF VARIATIONAL INEQUALITIES WITH NONLINEAR SOURCE TERMS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 9 90% 0

Classes with closest relation at Level 1



Rank Class id link
1 2241 ALGEBRAIC MULTIGRID//DOMAIN DECOMPOSITION//MULTIGRID
2 28059 NONZERO SOLUTION//MULTIPARAMETER VARIATIONAL INEQUALITY//FIXED POINT INDEX OF MULTIVALUED MAPPINGS
3 9515 MULTISPLITTING//MATRIX MULTISPLITTING//H MATRIX
4 15282 WAVEFORM RELAXATION//OPTIMIZED SCHWARZ METHODS//WAVEFORM RELAXATION METHOD
5 5836 STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM//OPTIMAL CONTROL
6 5572 HAMILTON JACOBI EQUATION//VISCOSITY SOLUTIONS//VISCOSITY SOLUTION
7 24262 UNCONFINED SEEPAGE//COMPOSITION DUALITY METHODS//EVOLUTION MIXED VARIATIONAL INCLUSIONS
8 7689 AMERICAN OPTIONS//OPTION PRICING//BLACK SCHOLES EQUATION
9 8000 NONLINEAR COMPLEMENTARITY PROBLEM//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//GLOBAL CONVERGENCE
10 13801 INFINITY LAPLACIAN//VISCOSITY SOLUTIONS//FULLY NONLINEAR EQUATIONS

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