Class information for:
Level 1: LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
32243 142 19.0 45%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
176 2             MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED 22137
32243 1                   LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA 142

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 LOCAL MINIMAX METHOD authKW 860156 3% 100% 4
2 MULTIPLE SADDLE POINTS authKW 860156 3% 100% 4
3 GNGA authKW 688123 3% 80% 4
4 MOUNTAIN PASS ALGORITHM authKW 671993 4% 63% 5
5 LOCALLY LIPSCHITZ CONTINUOUS FUNCTIONAL authKW 645117 2% 100% 3
6 SEARCH EXTENSION authKW 645117 2% 100% 3
7 HIGH LINKING ALGORITHM authKW 430078 1% 100% 2
8 INTERPOLATED COEFFICIENT FINITE ELEMENT METHOD authKW 430078 1% 100% 2
9 LOCAL MIN ORTHOGONAL METHOD authKW 430078 1% 100% 2
10 NONSMOOTH CRITICAL POINTS authKW 430078 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 6195 82% 0% 116
2 Mathematics 571 28% 0% 40
3 Mathematics, Interdisciplinary Applications 56 5% 0% 7
4 Physics, Mathematical 33 5% 0% 7
5 Computer Science, Software Engineering 25 4% 0% 5
6 Computer Science, Theory & Methods 24 4% 0% 6
7 Physics, Multidisciplinary 14 6% 0% 9
8 Operations Research & Management Science 7 2% 0% 3
9 Computer Science, Hardware & Architecture 6 1% 0% 2
10 Computer Science, Interdisciplinary Applications 4 2% 0% 3

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 BACIC SCI 215039 1% 100% 1
2 EQUIPE MIP CEREMATHUTI 215039 1% 100% 1
3 COMPUTAT STOCHAST MATH ITS PLICAT 107519 1% 50% 1
4 SERV ANAL NUMER 107519 1% 50% 1
5 NOUSHIRVANI TECHNOL 43006 1% 20% 1
6 COMPLEXYS 26878 1% 13% 1
7 HPCSIP 23891 1% 11% 1
8 OPEN SYST 21500 1% 5% 2
9 UNIV HUNAN PROV 15358 1% 7% 1
10 PERVAS TECHNOL S 13438 1% 6% 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 APPLIED MATHEMATICS AND COMPUTATION 7083 17% 0% 24
2 JOURNAL OF SCIENTIFIC COMPUTING 5323 4% 0% 6
3 SIAM JOURNAL ON SCIENTIFIC COMPUTING 3042 5% 0% 7
4 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 3007 9% 0% 13
5 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 2425 2% 0% 3
6 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 1429 2% 0% 3
7 SCIENCE IN CHINA SERIES A-MATHEMATICS 1409 3% 0% 4
8 SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 1223 1% 0% 2
9 MATHEMATICS OF COMPUTATION 861 3% 0% 4
10 SIAM JOURNAL ON NUMERICAL ANALYSIS 835 3% 0% 4

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 LOCAL MINIMAX METHOD 860156 3% 100% 4 Search LOCAL+MINIMAX+METHOD Search LOCAL+MINIMAX+METHOD
2 MULTIPLE SADDLE POINTS 860156 3% 100% 4 Search MULTIPLE+SADDLE+POINTS Search MULTIPLE+SADDLE+POINTS
3 GNGA 688123 3% 80% 4 Search GNGA Search GNGA
4 MOUNTAIN PASS ALGORITHM 671993 4% 63% 5 Search MOUNTAIN+PASS+ALGORITHM Search MOUNTAIN+PASS+ALGORITHM
5 LOCALLY LIPSCHITZ CONTINUOUS FUNCTIONAL 645117 2% 100% 3 Search LOCALLY+LIPSCHITZ+CONTINUOUS+FUNCTIONAL Search LOCALLY+LIPSCHITZ+CONTINUOUS+FUNCTIONAL
6 SEARCH EXTENSION 645117 2% 100% 3 Search SEARCH+EXTENSION Search SEARCH+EXTENSION
7 HIGH LINKING ALGORITHM 430078 1% 100% 2 Search HIGH+LINKING+ALGORITHM Search HIGH+LINKING+ALGORITHM
8 INTERPOLATED COEFFICIENT FINITE ELEMENT METHOD 430078 1% 100% 2 Search INTERPOLATED+COEFFICIENT+FINITE+ELEMENT+METHOD Search INTERPOLATED+COEFFICIENT+FINITE+ELEMENT+METHOD
9 LOCAL MIN ORTHOGONAL METHOD 430078 1% 100% 2 Search LOCAL+MIN+ORTHOGONAL+METHOD Search LOCAL+MIN+ORTHOGONAL+METHOD
10 NONSMOOTH CRITICAL POINTS 430078 1% 100% 2 Search NONSMOOTH+CRITICAL+POINTS Search NONSMOOTH+CRITICAL+POINTS

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 YAO, XD , (2015) CONVERGENCE ANALYSIS OF A MINIMAX METHOD FOR FINDING MULTIPLE SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATION: PART I-ON POLYHEDRAL DOMAIN.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 62. ISSUE 3. P. 652 -673 15 88% 0
2 YAO, XD , (2016) LJUSTERNIK-SCHNIRELMAN MINIMAX ALGORITHMS AND AN APPLICATION FOR FINDING MULTIPLE NEGATIVE ENERGY SOLUTIONS OF SEMILINEAR ELLIPTIC DIRICHLET PROBLEM INVOLVING CONCAVE AND CONVEX NONLINEARITIES: PART I. ALGORITHMS AND CONVERGENCE.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 66. ISSUE 1. P. 19 -40 13 76% 0
3 ZHOU, JX , (2011) GLOBAL SEQUENCE CONVERGENCE OF A LOCAL MINIMAX METHOD FOR FINDING MULTIPLE SOLUTIONS IN BANACH SPACES.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 32. ISSUE 12. P. 1365-1380 10 91% 1
4 ZHU, HL , LI, ZX , YANG, ZH , (2012) ANALYSIS AND COMPUTATION FOR A CLASS OF SEMILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 64. ISSUE 8. P. 2735-2743 11 69% 0
5 ZHU, HL , LI, ZX , YANG, ZH , (2013) NEWTON'S METHOD BASED ON BIFURCATION FOR SOLVING MULTIPLE SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 36. ISSUE 16. P. 2208-2223 11 65% 0
6 LI, ZX , ZHU, HL , YANG, ZH , (2011) BIFURCATION METHOD FOR SOLVING MULTIPLE POSITIVE SOLUTIONS TO HENON EQUATION ON THE UNIT CUBE.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 16. ISSUE 9. P. 3673-3683 10 71% 0
7 XIE, ZQ , CHEN, CM , XU, Y , (2005) AN IMPROVED SEARCH-EXTENSION METHOD FOR COMPUTING MULTIPLE SOLUTIONS OF SEMILINEAR PDES.IMA JOURNAL OF NUMERICAL ANALYSIS. VOL. 25. ISSUE 3. P. 549-576 12 67% 8
8 WANG, CC , ZHOU, JX , (2015) A NEW APPROACH FOR NUMERICALLY SOLVING NONLINEAR EIGENSOLUTION PROBLEMS.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 64. ISSUE 1. P. 109 -129 10 59% 0
9 WANG, CC , ZHOU, JX , (2013) AN ORTHOGONAL SUBSPACE MINIMIZATION METHOD FOR FINDING MULTIPLE SOLUTIONS TO THE DEFOCUSING NONLINEAR SCHRODINGER EQUATION WITH SYMMETRY.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. VOL. 29. ISSUE 5. P. 1778-1800 11 52% 1
10 LI, ZX , YANG, ZH , (2010) BIFURCATION METHOD FOR SOLVING MULTIPLE POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM OF P-HENON EQUATION ON THE UNIT DISK.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION. VOL. 31. ISSUE 4. P. 511 -520 6 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 24203 EXACT MULTIPLICITY//TIME MAP//S SHAPED BIFURCATION CURVE
2 1427 P LAPLACIAN//CRITICAL GROUPS//FUCIK SPECTRUM
3 21865 NONLINEAR ESTIMATES OF THE PERRON TYPE//INTERPOLATING OPERATORS//MONOTONE ITERATIONS
4 2885 CRITICAL SOBOLEV EXPONENT//CAFFARELLI KOHN NIRENBERG INEQUALITY//HARDY INEQUALITY
5 26997 ATTRACTOR BIFURCATION//DYNAMIC TRANSITION THEORY//EXTENDED FISHER KOLMOGOROV EQUATION
6 2602 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//SCHRODINGER POISSON SYSTEM
7 17049 IMPLICITLY DEFINED CURVE//BIALTERNATE PRODUCT//UNILATERAL DYNAMIC CONTACT
8 10976 MASLOV TYPE INDEX//SECOND ORDER HAMILTONIAN SYSTEMS//HAMILTONIAN SYSTEMS
9 30963 HEAT CONVECTION EQUATION//METHOD OF CORRECTIONS//DISJOINT DOMAINS
10 23915 MINKOWSKI CONTENT//COMPLEX DIMENSIONS//FRACTAL STRING

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