Class information for:
Level 1: ISOSPECTRAL FLOW//TODA FLOW//NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS ON MANIFOLDS

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
89 3       MATHEMATICS, APPLIED//LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON NUMERICAL ANALYSIS 80538
1067 2             SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//LINEAR ALGEBRA AND ITS APPLICATIONS//MATRIX EQUATION 10240
17004 1                   ISOSPECTRAL FLOW//TODA FLOW//NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS ON MANIFOLDS 649

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ISOSPECTRAL FLOW authKW 626076 3% 68% 19
2 TODA FLOW authKW 499479 2% 86% 12
3 NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS ON MANIFOLDS authKW 485608 2% 100% 10
4 MAGNUS EXPANSION authKW 307527 3% 33% 19
5 GEOMETRIC INTEGRATION authKW 297516 4% 25% 25
6 LIE GROUP METHODS authKW 218515 1% 50% 9
7 SACKER SELL SPECTRUM authKW 207185 1% 53% 8
8 INTEGRAL SEPARATION authKW 198284 1% 58% 7
9 COMPUTATION OF LYAPUNOV CHARACTERISTIC EXPONENTS authKW 194243 1% 100% 4
10 DISCRETE HUNGRY LOTKA VOLTERRA SYSTEM authKW 194243 1% 100% 4

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 12022 54% 0% 349
2 Physics, Mathematical 3167 20% 0% 129
3 Mathematics 1600 22% 0% 146
4 Computer Science, Software Engineering 377 6% 0% 39
5 Computer Science, Theory & Methods 295 6% 0% 42
6 Physics, Multidisciplinary 257 11% 0% 69
7 Mathematics, Interdisciplinary Applications 173 4% 0% 27
8 Computer Science, Interdisciplinary Applications 66 3% 0% 22
9 Automation & Control Systems 63 2% 0% 16
10 Mechanics 52 4% 0% 27

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIPARTIMENTO INTER UNIV MATEMAT 97122 0% 100% 2
2 AEROSP AERONAUT ASTRONAUT 48561 0% 100% 1
3 DEP ENERGET S STECCO 48561 0% 100% 1
4 MATH ANAL PROBABILITS MODLISAT ORLANS M MO 48561 0% 100% 1
5 MECHAN CIVIL ENGN ARCHITECTURE 48561 0% 100% 1
6 UL LIFE ENVIRONM 48561 0% 100% 1
7 WAVE MECH MULTIFIELD INTERACT 48561 0% 100% 1
8 INTEGRAT MATH SCI 48559 0% 50% 2
9 MATEMAT LICAC CASTELLO 48555 1% 25% 4
10 DIPARTIMENTO INTERUNIV MATEMAT 43689 1% 10% 9

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FUTURE GENERATION COMPUTER SYSTEMS-THE INTERNATIONAL JOURNAL OF GRID COMPUTING THEORY METHODS AND APPLICATIONS 75999 1% 26% 6
2 BIT NUMERICAL MATHEMATICS 16933 4% 2% 23
3 FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 16827 2% 3% 12
4 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 8075 3% 1% 19
5 LINEAR ALGEBRA AND ITS APPLICATIONS 7600 7% 0% 43
6 NUMERISCHE MATHEMATIK 4599 3% 1% 17
7 APPLIED NUMERICAL MATHEMATICS 4583 3% 1% 17
8 SIAM JOURNAL ON NUMERICAL ANALYSIS 3758 3% 0% 18
9 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 3622 4% 0% 28
10 INVERSE PROBLEMS 1361 2% 0% 10

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ISOSPECTRAL FLOW 626076 3% 68% 19 Search ISOSPECTRAL+FLOW Search ISOSPECTRAL+FLOW
2 TODA FLOW 499479 2% 86% 12 Search TODA+FLOW Search TODA+FLOW
3 NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS ON MANIFOLDS 485608 2% 100% 10 Search NUMERICAL+INTEGRATION+OF+ORDINARY+DIFFERENTIAL+EQUATIONS+ON+MANIFOLDS Search NUMERICAL+INTEGRATION+OF+ORDINARY+DIFFERENTIAL+EQUATIONS+ON+MANIFOLDS
4 MAGNUS EXPANSION 307527 3% 33% 19 Search MAGNUS+EXPANSION Search MAGNUS+EXPANSION
5 GEOMETRIC INTEGRATION 297516 4% 25% 25 Search GEOMETRIC+INTEGRATION Search GEOMETRIC+INTEGRATION
6 LIE GROUP METHODS 218515 1% 50% 9 Search LIE+GROUP+METHODS Search LIE+GROUP+METHODS
7 SACKER SELL SPECTRUM 207185 1% 53% 8 Search SACKER+SELL+SPECTRUM Search SACKER+SELL+SPECTRUM
8 INTEGRAL SEPARATION 198284 1% 58% 7 Search INTEGRAL+SEPARATION Search INTEGRAL+SEPARATION
9 COMPUTATION OF LYAPUNOV CHARACTERISTIC EXPONENTS 194243 1% 100% 4 Search COMPUTATION+OF+LYAPUNOV+CHARACTERISTIC+EXPONENTS Search COMPUTATION+OF+LYAPUNOV+CHARACTERISTIC+EXPONENTS
10 DISCRETE HUNGRY LOTKA VOLTERRA SYSTEM 194243 1% 100% 4 Search DISCRETE+HUNGRY+LOTKA+VOLTERRA+SYSTEM Search DISCRETE+HUNGRY+LOTKA+VOLTERRA+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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 24525 HADAMARD MANIFOLD//RIEMANNIAN OPTIMIZATION//MONOTONE VECTOR FIELDS
2 18225 EXPONENTIAL INTEGRATORS//MATRIX FUNCTIONS//MATRIX EXPONENTIAL
3 5399 SYMPLECTIC INTEGRATORS//MULTI SYMPLECTIC//MULTI SYMPLECTIC SCHEME
4 25965 SPECTRAL PARAMETER POWER SERIES//PSEUDOANALYTIC FUNCTION//CP METHODS
5 25948 LIE SYSTEM//SUPERPOSITION RULE//VESSIOT GULDBERG LIE ALGEBRA
6 18912 INVERSE EIGENVALUE PROBLEM//NONNEGATIVE INVERSE EIGENVALUE PROBLEM//JACOBI MATRIX
7 12805 KOWALEVSKI TOP//INTEGRABLE HAMILTONIAN SYSTEMS//REGULAR & CHAOTIC DYNAMICS
8 6159 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//QR ALGORITHM//QR FACTORIZATION
9 12629 DIFFERENTIAL ALGEBRAIC EQUATIONS//CONSISTENT INITIAL VALUES//MATEMAT LICADA TECNOL INFORMAC
10 7537 FINITE ROTATIONS//GEOMETRICALLY EXACT BEAM//ASYMPTOTIC NUMERICAL METHOD

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