Class information for:
Level 1: CP METHODS//STURM LIOUVILLE PROBLEM//ASYMPTOTIC CORRECTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25276 286 16.8 39%


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
549 3       MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE 18286
1949 2             STURM LIOUVILLE OPERATOR//STURM LIOUVILLE PROBLEM//INVERSE SPECTRAL PROBLEM 5724
25276 1                   CP METHODS//STURM LIOUVILLE PROBLEM//ASYMPTOTIC CORRECTION 286

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 CP METHODS authKW 960894 4% 75% 12
2 STURM LIOUVILLE PROBLEM authKW 778097 17% 15% 50
3 ASYMPTOTIC CORRECTION authKW 333642 2% 63% 5
4 NUMEROVS METHOD authKW 326965 2% 44% 7
5 EXACTLY SOLVABLE HAMILTONIANS authKW 320300 1% 100% 3
6 FLIESS SERIES authKW 320300 1% 100% 3
7 HERMITE CORRECTOR FORMULA authKW 320300 1% 100% 3
8 SHOOTING FOR EIGENVALUES authKW 320300 1% 100% 3
9 FOURTH ORDER STURM LIOUVILLE PROBLEMS authKW 284708 1% 67% 4
10 NON SYMMETRIC POTENTIAL authKW 240223 1% 75% 3

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 6437 59% 0% 169
2 Physics, Mathematical 633 14% 0% 39
3 Mathematics 609 21% 0% 60
4 Computer Science, Interdisciplinary Applications 338 10% 0% 28
5 Mathematics, Interdisciplinary Applications 267 7% 0% 21
6 Computer Science, Software Engineering 184 6% 0% 18
7 Engineering, General 81 5% 0% 13
8 Multidisciplinary Sciences 48 2% 0% 7
9 Mechanics 24 4% 0% 12
10 Computer Science, Theory & Methods 23 3% 0% 9

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 VAKGRP TOEGEPASTE WISKUNDE INFORMAT 240211 3% 25% 9
2 VAKGROEP TOEGEPASTE WISKUNDE INFORMAT 177938 2% 33% 5
3 BELFAST ESCI 106767 0% 100% 1
4 DROGOBYCH STATE PEDAGOG 106767 0% 100% 1
5 VAKGRP TOEGEPASTE WISKUNDE INFORMAT STAT 106767 0% 100% 1
6 DORODNICYN COMPUTAT 53382 0% 50% 1
7 FB 3 MATH 53382 0% 50% 1
8 PHYSC CHEM 53382 0% 50% 1
9 DIPARTIMENTO MATEMAT PLICATA U DINI 42520 2% 6% 7
10 SGS 10675 0% 10% 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 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 10790 11% 0% 32
2 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 9200 3% 1% 10
3 COMPUTER PHYSICS COMMUNICATIONS 5744 7% 0% 20
4 DIFFERENTIAL EQUATIONS 4821 5% 0% 13
5 IMA JOURNAL OF NUMERICAL ANALYSIS 4713 3% 1% 8
6 COMMUNICATIONS IN APPLIED NUMERICAL METHODS 3215 1% 1% 4
7 JOURNAL OF MATHEMATICAL CHEMISTRY 2616 3% 0% 8
8 BIT NUMERICAL MATHEMATICS 2571 2% 0% 6
9 APPLIED MATHEMATICS AND COMPUTATION 2419 7% 0% 20
10 NUMERISCHE MATHEMATIK 1744 2% 0% 7

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 CP METHODS 960894 4% 75% 12 Search CP+METHODS Search CP+METHODS
2 STURM LIOUVILLE PROBLEM 778097 17% 15% 50 Search STURM+LIOUVILLE+PROBLEM Search STURM+LIOUVILLE+PROBLEM
3 ASYMPTOTIC CORRECTION 333642 2% 63% 5 Search ASYMPTOTIC+CORRECTION Search ASYMPTOTIC+CORRECTION
4 NUMEROVS METHOD 326965 2% 44% 7 Search NUMEROVS+METHOD Search NUMEROVS+METHOD
5 EXACTLY SOLVABLE HAMILTONIANS 320300 1% 100% 3 Search EXACTLY+SOLVABLE+HAMILTONIANS Search EXACTLY+SOLVABLE+HAMILTONIANS
6 FLIESS SERIES 320300 1% 100% 3 Search FLIESS+SERIES Search FLIESS+SERIES
7 HERMITE CORRECTOR FORMULA 320300 1% 100% 3 Search HERMITE+CORRECTOR+FORMULA Search HERMITE+CORRECTOR+FORMULA
8 SHOOTING FOR EIGENVALUES 320300 1% 100% 3 Search SHOOTING+FOR+EIGENVALUES Search SHOOTING+FOR+EIGENVALUES
9 FOURTH ORDER STURM LIOUVILLE PROBLEMS 284708 1% 67% 4 Search FOURTH+ORDER+STURM+LIOUVILLE+PROBLEMS Search FOURTH+ORDER+STURM+LIOUVILLE+PROBLEMS
10 NON SYMMETRIC POTENTIAL 240223 1% 75% 3 Search NON+SYMMETRIC+POTENTIAL Search NON+SYMMETRIC+POTENTIAL

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 LEDOUX, V , VAN DAELE, M , (2011) ON CP, LP AND OTHER PIECEWISE PERTURBATION METHODS FOR THE NUMERICAL SOLUTION OF THE SCHRODINGER EQUATION.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. VOL. 62. ISSUE 6. P. 993 -1011 24 75% 0
2 GAO, Q , ZHAO, QT , ZHENG, X , LING, YH , (2017) CONVERGENCE OF NUMEROV'S METHOD FOR INVERSE STURM-LIOUVILLE PROBLEMS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 293. ISSUE . P. 1 -17 19 83% 0
3 ACETO, L , GHELARDONI, P , MAGHERINI, C , (2012) BOUNDARY VALUE METHODS FOR THE RECONSTRUCTION OF STURM-LIOUVILLE POTENTIALS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 219. ISSUE 6. P. 2960-2974 18 86% 6
4 GAO, Q , CHENG, XL , HUANG, ZD , (2014) ON A BOUNDARY VALUE METHOD FOR COMPUTING STURM-LIOUVILLE POTENTIALS FROM TWO SPECTRA.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 91. ISSUE 3. P. 490-513 18 69% 1
5 RATTANA, A , BOCKMANN, C , (2013) MATRIX METHODS FOR COMPUTING EIGENVALUES OF STURM-LIOUVILLE PROBLEMS OF ORDER FOUR.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 249. ISSUE . P. 144 -156 15 83% 1
6 LEDOUX, V , VAN DAELE, M , VANDEN BERGHE, G , (2009) EFFICIENT COMPUTATION OF HIGH INDEX STURM-LIOUVILLE EIGENVALUES FOR PROBLEMS IN PHYSICS.COMPUTER PHYSICS COMMUNICATIONS. VOL. 180. ISSUE 2. P. 241 -250 18 75% 7
7 BOCKMANN, C , KAMMANEE, A , (2011) BROYDEN METHOD FOR INVERSE NON-SYMMETRIC STURM-LIOUVILLE PROBLEMS.BIT NUMERICAL MATHEMATICS. VOL. 51. ISSUE 3. P. 513 -528 16 80% 3
8 GAO, Q , CHENG, XL , HUANG, ZD , (2013) MODIFIED NUMEROV'S METHOD FOR INVERSE STURM-LIOUVILLE PROBLEMS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 253. ISSUE . P. 181 -199 18 67% 0
9 LEDOUX, V , VAN DAELE, M , (2016) MATSLISE 2.0: A MATLAB TOOLBOX FOR STURM-LIOUVILLE COMPUTATIONS.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 42. ISSUE 4. P. - 11 100% 0
10 ANDREW, AL , (2003) ASYMPTOTIC CORRECTION OF MORE STURM-LIOUVILLE EIGENVALUE ESTIMATES.BIT NUMERICAL MATHEMATICS. VOL. 43. ISSUE 3. P. 485 -503 14 100% 16

Classes with closest relation at Level 1


Rank Class id link
1 7223 INVERSE SPECTRAL PROBLEM//INVERSE NODAL PROBLEM//STURM LIOUVILLE OPERATOR
2 30091 ANALYTIC NUMERICAL SOLUTION//COUPLED DIFFUSION PROBLEM//A PRIORI ERROR BOUND
3 9678 PHASE LAG//EXPONENTIAL FITTING//MULTISTEP METHODS
4 25007 NUMERICAL VERIFICATION//SPECTRAL POLLUTION//NUMERICAL VERIFICATION METHOD
5 36573 HAMILTONIAN SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS//NONLINEAR SELF ADJOINT EIGENVALUE PROBLEM//REDUNDANT CONDITIONS
6 8907 CONJOINED BASIS//LIMIT POINT CASE//TRANSMISSION CONDITIONS
7 28741 PSEUDOANALYTIC FUNCTION//SPECTRAL PARAMETER POWER SERIES//GENERALIZED ANALYTIC FUNCTIONS
8 30295 CUICBAS//ARBITRARY BOUNDARIES//INHOMOGENEOUS STRING
9 19087 INVERSE EIGENVALUE PROBLEM//NONNEGATIVE INVERSE EIGENVALUE PROBLEM//NONNEGATIVE MATRICES
10 31644 EEUFMG//ABSORPTION COEFFICIENTS AND NEURAL NETWORKS//ADJUSTED RSQUARE

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