Class information for:
Level 1: SYMPLECTIC INTEGRATORS//GEOMETRIC INTEGRATION//NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS ON MANIFOLDS

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
7492 1282 21.5 48%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)



ID, lev.
above
Publications Label for level above
1562 6745 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 SYMPLECTIC INTEGRATORS Author keyword 32 47% 4% 50
2 GEOMETRIC INTEGRATION Author keyword 32 49% 4% 47
3 NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS ON MANIFOLDS Author keyword 23 100% 1% 10
4 KONPUTAZIO ZIENTZIAK ETA AA SAILA Address 22 81% 1% 13
5 SYMPLECTIC INTEGRATION Author keyword 18 43% 2% 32
6 COMPOSITION METHODS Author keyword 15 68% 1% 13
7 GEOMETRIC NUMERICAL INTEGRATION Author keyword 15 54% 1% 19
8 MATEMAT LICAC CASTELLO Address 13 80% 1% 8
9 ENERGY PRESERVING METHODS Author keyword 13 69% 1% 11
10 FORMAL ENERGY Author keyword 12 86% 0% 6

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 SYMPLECTIC INTEGRATORS 32 47% 4% 50 Search SYMPLECTIC+INTEGRATORS Search SYMPLECTIC+INTEGRATORS
2 GEOMETRIC INTEGRATION 32 49% 4% 47 Search GEOMETRIC+INTEGRATION Search GEOMETRIC+INTEGRATION
3 NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS ON MANIFOLDS 23 100% 1% 10 Search NUMERICAL+INTEGRATION+OF+ORDINARY+DIFFERENTIAL+EQUATIONS+ON+MANIFOLDS Search NUMERICAL+INTEGRATION+OF+ORDINARY+DIFFERENTIAL+EQUATIONS+ON+MANIFOLDS
4 SYMPLECTIC INTEGRATION 18 43% 2% 32 Search SYMPLECTIC+INTEGRATION Search SYMPLECTIC+INTEGRATION
5 COMPOSITION METHODS 15 68% 1% 13 Search COMPOSITION+METHODS Search COMPOSITION+METHODS
6 GEOMETRIC NUMERICAL INTEGRATION 15 54% 1% 19 Search GEOMETRIC+NUMERICAL+INTEGRATION Search GEOMETRIC+NUMERICAL+INTEGRATION
7 ENERGY PRESERVING METHODS 13 69% 1% 11 Search ENERGY+PRESERVING+METHODS Search ENERGY+PRESERVING+METHODS
8 FORMAL ENERGY 12 86% 0% 6 Search FORMAL+ENERGY Search FORMAL+ENERGY
9 NUMERICAL GEOMETRIC INTEGRATION 12 86% 0% 6 Search NUMERICAL+GEOMETRIC+INTEGRATION Search NUMERICAL+GEOMETRIC+INTEGRATION
10 EXPONENTIAL OPERATOR SPLITTING METHODS 11 100% 0% 6 Search EXPONENTIAL+OPERATOR+SPLITTING+METHODS Search EXPONENTIAL+OPERATOR+SPLITTING+METHODS

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 SYMPLECTIC INTEGRATORS 48 39% 7% 96
2 SYMPLECTIC INTEGRATION 25 44% 3% 43
3 MANY BODY THEORIES 25 42% 4% 45
4 KEPLER ENERGY 24 91% 1% 10
5 FRACTAL PATH INTEGRALS 22 81% 1% 13
6 EFFICIENT ORBIT INTEGRATION 17 100% 1% 8
7 INDIVIDUAL KEPLER ENERGIES 13 80% 1% 8
8 NUMERICAL INTEGRATORS 12 44% 2% 20
9 KEPLER MOTION 11 54% 1% 14
10 MOSER VESELOV ALGORITHM 11 100% 0% 6

Journals

Reviews



Title Publ. year Cit. Active references % act. ref.
to same field
The Magnus expansion and some of its applications 2009 163 129 49%
Geometric integrators for ODEs 2006 53 83 70%
EXPONENTIAL PROPAGATORS (INTEGRATORS) FOR THE TIME-DEPENDENT SCHRODINGER EQUATION 2013 4 73 27%
General formulation of quantum analysis 1999 9 6 100%
Symplectic integrators revisited 2002 11 38 61%
Convergence of exponential product formulas for unbounded operators 1996 6 17 59%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 KONPUTAZIO ZIENTZIAK ETA AA SAILA 22 81% 1.0% 13
2 MATEMAT LICAC CASTELLO 13 80% 0.6% 8
3 INFORMAT FAK 7 42% 1.0% 13
4 INFORMATIKA FAK 4 67% 0.3% 4
5 WYDZIAL FIZYKI 2 16% 0.8% 10
6 IUMA MATEMAT LICADA 1 100% 0.2% 2
7 KONPUTAZIO ZIENTZIAK AA SAILA 1 50% 0.2% 2
8 MATH STAT COMPLEX SYST 1 100% 0.2% 2
9 MATEMAT LICADA COMPUTAC 1 11% 0.9% 11
10 DIPARTIMENTO INTERUNIV MATEMAT 1 10% 0.7% 9

Related classes at same level (level 1)



Rank Relatedness score Related classes
1 0.0000185554 RLW EQUATION//MULTI SYMPLECTIC//MULTI SYMPLECTIC METHOD
2 0.0000152962 EXPONENTIAL INTEGRATORS//MATRIX PTH ROOT//MATRIX EXPONENTIAL
3 0.0000116870 PHASE LAG//EXPONENTIAL FITTING//INTERVAL OF PERIODICITY
4 0.0000110423 OPERATOR NORM CONVERGENCE//AIR POLLUTION MODELS//LOCAL SPLITTING ERROR
5 0.0000103036 KEPLERS EQUATION//REGION CONTRACTION ALGORITHM//INCOMPLETE ELLIPTIC INTEGRAL
6 0.0000102819 COSYMMETRY//FAMILY OF EQUILIBRIA//INFORMATION METABOLISM
7 0.0000093008 TIME INTEGRATION//TIME INTEGRATION ALGORITHMS//HETEROGENEOUS TIME INTEGRATORS
8 0.0000090001 TODA FLOW//ISOSPECTRAL FLOW//COMPLETE MULTIPLICATIVE JORDAN DECOMPOSITION
9 0.0000079528 CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY//KIRKWOOD GAPS//CELESTIAL MECHANICS
10 0.0000073576 GENERAL LINEAR METHODS//TWO STEP RUNGE KUTTA METHODS//STARTING ALGORITHMS