Class information for:
Level 1: HAMILTONIAN SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS//NONLINEAR SELF ADJOINT EIGENVALUE PROBLEM//REDUNDANT CONDITIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
36573 78 15.9 27%


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
36573 1                   HAMILTONIAN SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS//NONLINEAR SELF ADJOINT EIGENVALUE PROBLEM//REDUNDANT CONDITIONS 78

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 HAMILTONIAN SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS authKW 1957415 6% 100% 5
2 NONLINEAR SELF ADJOINT EIGENVALUE PROBLEM authKW 1174449 4% 100% 3
3 REDUNDANT CONDITIONS authKW 1174449 4% 100% 3
4 ADDITIONAL NONLOCAL CONDITIONS authKW 782966 3% 100% 2
5 BESSEL FUNCTION EVALUATION authKW 782966 3% 100% 2
6 NUMERICAL METHOD FOR DETERMINING THE NUMBER OF EIGENVALUES authKW 782966 3% 100% 2
7 ODE ON INFINITE INTERVAL authKW 782966 3% 100% 2
8 SINGULAR SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS authKW 704667 4% 60% 3
9 AMPLITUDE PHASE METHODS authKW 391483 1% 100% 1
10 COMP NUMER METHODS address 391483 1% 100% 1

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 Physics, Mathematical 1018 32% 0% 25
2 Mathematics, Applied 882 42% 0% 33
3 Physics, Atomic, Molecular & Chemical 104 15% 0% 12
4 Physics, Multidisciplinary 88 17% 0% 13
5 Mathematics, Interdisciplinary Applications 54 6% 0% 5
6 Computer Science, Interdisciplinary Applications 36 6% 0% 5
7 Mathematics 33 10% 0% 8
8 Optics 26 9% 0% 7
9 Materials Science, Characterization, Testing 6 1% 0% 1
10 Chemistry, Physical 3 8% 0% 6

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 COMP NUMER METHODS 391483 1% 100% 1
2 THEORET PHYS MATH METHODS 207251 4% 18% 3
3 NUMER METHODS 160601 5% 10% 4
4 DORODNICYN COMP 142271 19% 2% 15
5 MATH MODELING 57324 12% 2% 9
6 MFTI 48934 1% 13% 1
7 ATOM PHYS LUMINESCENCE 47607 4% 4% 3
8 DORODNITSYN COMP 35947 4% 3% 3
9 THEORET PHYS QUANTUM INFORMAT 13980 1% 4% 1
10 MOSCOW ENGN PHYS 12989 8% 1% 6

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 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 103270 28% 1% 22
2 USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 13092 6% 1% 5
3 DIFFERENTIAL EQUATIONS 3774 8% 0% 6
4 PHYSICS LETTERS A 584 9% 0% 7
5 ADVANCES IN QUANTUM CHEMISTRY 567 1% 0% 1
6 INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY 559 5% 0% 4
7 JOURNAL OF THEORETICAL AND APPLIED MECHANICS 540 1% 0% 1
8 COMPUTER PHYSICS COMMUNICATIONS 471 4% 0% 3
9 COMPUTERS & CHEMISTRY 398 1% 0% 1
10 RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING 256 1% 0% 1

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 HAMILTONIAN SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS 1957415 6% 100% 5 Search HAMILTONIAN+SYSTEM+OF+ORDINARY+DIFFERENTIAL+EQUATIONS Search HAMILTONIAN+SYSTEM+OF+ORDINARY+DIFFERENTIAL+EQUATIONS
2 NONLINEAR SELF ADJOINT EIGENVALUE PROBLEM 1174449 4% 100% 3 Search NONLINEAR+SELF+ADJOINT+EIGENVALUE+PROBLEM Search NONLINEAR+SELF+ADJOINT+EIGENVALUE+PROBLEM
3 REDUNDANT CONDITIONS 1174449 4% 100% 3 Search REDUNDANT+CONDITIONS Search REDUNDANT+CONDITIONS
4 ADDITIONAL NONLOCAL CONDITIONS 782966 3% 100% 2 Search ADDITIONAL+NONLOCAL+CONDITIONS Search ADDITIONAL+NONLOCAL+CONDITIONS
5 BESSEL FUNCTION EVALUATION 782966 3% 100% 2 Search BESSEL+FUNCTION+EVALUATION Search BESSEL+FUNCTION+EVALUATION
6 NUMERICAL METHOD FOR DETERMINING THE NUMBER OF EIGENVALUES 782966 3% 100% 2 Search NUMERICAL+METHOD+FOR+DETERMINING+THE+NUMBER+OF+EIGENVALUES Search NUMERICAL+METHOD+FOR+DETERMINING+THE+NUMBER+OF+EIGENVALUES
7 ODE ON INFINITE INTERVAL 782966 3% 100% 2 Search ODE+ON+INFINITE+INTERVAL Search ODE+ON+INFINITE+INTERVAL
8 SINGULAR SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS 704667 4% 60% 3 Search SINGULAR+SYSTEM+OF+ORDINARY+DIFFERENTIAL+EQUATIONS Search SINGULAR+SYSTEM+OF+ORDINARY+DIFFERENTIAL+EQUATIONS
9 AMPLITUDE PHASE METHODS 391483 1% 100% 1 Search AMPLITUDE+PHASE+METHODS Search AMPLITUDE+PHASE+METHODS
10 COMPUTATION OF THE PHASE SHIFT 391483 1% 100% 1 Search COMPUTATION+OF+THE+PHASE+SHIFT Search COMPUTATION+OF+THE+PHASE+SHIFT

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 SZMYTKOWSKI, R , GRUCHOWSKI, M , (2004) EIGENCHANNEL METHOD FOR NONRELATIVISTIC SCATTERING FROM ZERO-RANGE POTENTIALS.PHYSICAL REVIEW A. VOL. 70. ISSUE 6. P. - 10 83% 2
2 ABRAMOV, AA , YUKHNO, LF , (2016) A NONLINEAR SINGULAR EIGENVALUE PROBLEM FOR A LINEAR SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS WITH REDUNDANT CONDITIONS.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 56. ISSUE 7. P. 1264 -1268 5 100% 0
3 ABRAMOV, AA , YUKHNO, LF , (2015) A NONLINEAR SINGULAR EIGENVALUE PROBLEM FOR A HAMILTONIAN SYSTEM OF DIFFERENTIAL EQUATIONS WITH REDUNDANT CONDITION.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 55. ISSUE 4. P. 597 -606 5 100% 0
4 ABRAMOV, AA , UL'YANOVA, VI , YUKHNO, LF , (2010) ON THE SINGULAR NONLINEAR SELF-ADJOINT EIGENVALUE PROBLEM FOR DIFFERENTIAL ALGEBRAIC SYSTEMS OF EQUATIONS.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 50. ISSUE 2. P. 238-243 5 100% 0
5 LEVITINA, TV , BRANDAS, EJ , (2001) ANGLE DEPENDENT TOTAL CROSS SECTIONS AND THE OPTICAL THEOREM.COMPUTERS & CHEMISTRY. VOL. 25. ISSUE 1. P. 55-67 8 80% 2
6 ABRAMOV, AA , YUKHNO, LF , (2015) SOLVING A SINGULAR NONLOCAL PROBLEM WITH REDUNDANT CONDITIONS FOR A SYSTEM OF LINEAR ORDINARY DIFFERENTIAL EQUATIONS.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 55. ISSUE 3. P. 378 -385 4 100% 0
7 LEVITINA, T , BRANDAS, EJ , (2000) ON THE SCHRODINGER EQUATION IN ELLIPSOIDAL COORDINATES.COMPUTER PHYSICS COMMUNICATIONS. VOL. 126. ISSUE 1-2. P. 107-113 6 86% 6
8 LEVITINA, T , BRANDAS, EJ , (1998) PERTURBED ELLIPSOIDAL WAVE FUNCTIONS FOR QUANTUM SCATTERING.INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY. VOL. 70. ISSUE 4-5. P. 1017-1022 5 100% 2
9 KALININ, ED , (2015) SOLVING THE MULTIPARAMETER EIGENVALUE PROBLEM FOR WEAKLY COUPLED SYSTEMS OF SECOND ORDER HAMILTON EQUATIONS.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 55. ISSUE 1. P. 43 -52 3 100% 0
10 LARSSON, B , LEVITINA, T , BRANDAS, EJ , (2001) ON PROLATE SPHEROIDAL WAVE FUNCTIONS FOR SIGNAL PROCESSING.INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY. VOL. 85. ISSUE 4-5. P. 392 -397 8 53% 8

Classes with closest relation at Level 1


Rank Class id link
1 33616 PLANCK GAS//SCI TEACHERS//QUANTUM HEAT TRANSPORT
2 27271 LANGMUIR SORPTION MODEL//EMPIRICAL ONE ELECTRON POTENTIAL//AB INITIO ONE ELECTRON POTENTIAL
3 18397 DIFFERENTIAL ALGEBRAIC EQUATIONS//MATEMAT LICADA TECNOL INFORMAC//CONSISTENT INITIAL VALUES
4 25276 CP METHODS//STURM LIOUVILLE PROBLEM//ASYMPTOTIC CORRECTION
5 13098 COMPLEX SCALING//AUGER RESONANCE//JOST MATRIX
6 25628 MULTIPARAMETER EIGENVALUE PROBLEM//TWO PARAMETER//NONLINEAR STURM LIOUVILLE
7 19827 ANTENNA MICROWAVES//MATHIEU CHARACTERISTIC DETERMINANT//MATHIEU COEFFICIENTS
8 23180 BIEBERBACH POLYNOMIALS//QUASICONFORMAL CURVE//BERGMAN ORTHOGONAL POLYNOMIALS
9 21876 RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING//DOUBLE SCANNING//C SAFT
10 24314 LOWDINS PAIRING THEOREM//3D 3D EXCITED STATES//FLOATING SPHERICAL GAUSSIAN ORBITAL

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