Class information for:
Level 1: GEOMETRIC INTEGRATION//SYMPLECTIC INTEGRATORS//SYMPLECTIC INTEGRATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7476 1363 21.8 49%


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
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
1538 2             RUNGE KUTTA METHODS//GENERAL LINEAR METHODS//PHASE LAG 7453
7476 1                   GEOMETRIC INTEGRATION//SYMPLECTIC INTEGRATORS//SYMPLECTIC INTEGRATION 1363

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 GEOMETRIC INTEGRATION authKW 709555 4% 57% 56
2 SYMPLECTIC INTEGRATORS authKW 674941 5% 44% 69
3 SYMPLECTIC INTEGRATION authKW 348467 2% 47% 33
4 GEOMETRIC NUMERICAL INTEGRATION authKW 293017 2% 59% 22
5 KONPUTAZIO ZIENTZIAK ETA AA SAILA address 280012 1% 83% 15
6 SYMPLECTIC METHODS authKW 269222 2% 48% 25
7 SPLITTING METHODS authKW 261565 3% 29% 40
8 NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS ON MANIFOLDS authKW 224014 1% 100% 10
9 COMPOSITION METHODS authKW 222690 1% 76% 13
10 VARIATIONAL INTEGRATORS authKW 204288 2% 40% 23

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 24716 53% 0% 725
2 Physics, Mathematical 6097 19% 0% 260
3 Computer Science, Software Engineering 1116 7% 0% 96
4 Mathematics, Interdisciplinary Applications 919 6% 0% 86
5 Computer Science, Interdisciplinary Applications 897 7% 0% 102
6 Mathematics 552 10% 0% 138
7 Physics, Multidisciplinary 534 11% 0% 145
8 Physics, Fluids & Plasmas 456 5% 0% 68
9 Computer Science, Theory & Methods 294 5% 0% 64
10 Astronomy & Astrophysics 188 6% 0% 86

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 KONPUTAZIO ZIENTZIAK ETA AA SAILA 280012 1% 83% 15
2 INFORMAT FAK 152720 1% 45% 15
3 MATEMAT LICAC CASTELLO 120960 1% 60% 9
4 INFORMATIKA FAK 80002 0% 71% 5
5 ABORAT INNOVAT ADV FUS ENERGY PLASMA SC 78398 1% 50% 7
6 GEOSPACE ENVIRONM 62016 1% 23% 12
7 KONPUTAZIO ZIENTZIAK AA SAILA 50402 0% 75% 3
8 MATEMAT MULTIDISCIPLINAR 49359 2% 7% 30
9 MATH STAT COMPLEX SYST 44803 0% 100% 2
10 MATEMAT LICADA COMPUTAC 37093 1% 13% 13

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 BIT NUMERICAL MATHEMATICS 65452 5% 4% 66
2 FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 51245 2% 8% 30
3 JOURNAL OF COMPUTATIONAL MATHEMATICS 25447 3% 3% 39
4 APPLIED NUMERICAL MATHEMATICS 24686 4% 2% 57
5 FUTURE GENERATION COMPUTER SYSTEMS-THE INTERNATIONAL JOURNAL OF GRID COMPUTING THEORY METHODS AND APPLICATIONS 22391 0% 17% 6
6 CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY 19713 3% 2% 40
7 NUMERISCHE MATHEMATIK 17977 4% 2% 49
8 IMA JOURNAL OF NUMERICAL ANALYSIS 17855 2% 2% 34
9 SIAM JOURNAL ON NUMERICAL ANALYSIS 10535 3% 1% 44
10 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 7366 4% 1% 58

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 GEOMETRIC INTEGRATION 709555 4% 57% 56 Search GEOMETRIC+INTEGRATION Search GEOMETRIC+INTEGRATION
2 SYMPLECTIC INTEGRATORS 674941 5% 44% 69 Search SYMPLECTIC+INTEGRATORS Search SYMPLECTIC+INTEGRATORS
3 SYMPLECTIC INTEGRATION 348467 2% 47% 33 Search SYMPLECTIC+INTEGRATION Search SYMPLECTIC+INTEGRATION
4 GEOMETRIC NUMERICAL INTEGRATION 293017 2% 59% 22 Search GEOMETRIC+NUMERICAL+INTEGRATION Search GEOMETRIC+NUMERICAL+INTEGRATION
5 SYMPLECTIC METHODS 269222 2% 48% 25 Search SYMPLECTIC+METHODS Search SYMPLECTIC+METHODS
6 SPLITTING METHODS 261565 3% 29% 40 Search SPLITTING+METHODS Search SPLITTING+METHODS
7 NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS ON MANIFOLDS 224014 1% 100% 10 Search NUMERICAL+INTEGRATION+OF+ORDINARY+DIFFERENTIAL+EQUATIONS+ON+MANIFOLDS Search NUMERICAL+INTEGRATION+OF+ORDINARY+DIFFERENTIAL+EQUATIONS+ON+MANIFOLDS
8 COMPOSITION METHODS 222690 1% 76% 13 Search COMPOSITION+METHODS Search COMPOSITION+METHODS
9 VARIATIONAL INTEGRATORS 204288 2% 40% 23 Search VARIATIONAL+INTEGRATORS Search VARIATIONAL+INTEGRATORS
10 ENERGY PRESERVING METHODS 193607 1% 79% 11 Search ENERGY+PRESERVING+METHODS Search ENERGY+PRESERVING+METHODS

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 BLANES, S , CASAS, F , OTEO, JA , ROS, J , (2009) THE MAGNUS EXPANSION AND SOME OF ITS APPLICATIONS.PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS. VOL. 470. ISSUE 5-6. P. 151 -238 69 51% 251
2 MCLACHLAN, RI , QUISPEL, GRW , (2006) GEOMETRIC INTEGRATORS FOR ODES.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. VOL. 39. ISSUE 19. P. 5251 -5285 64 77% 65
3 BLANES, S , ISERLES, A , (2012) EXPLICIT ADAPTIVE SYMPLECTIC INTEGRATORS FOR SOLVING HAMILTONIAN SYSTEMS.CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY. VOL. 114. ISSUE 3. P. 297-317 28 100% 5
4 CHIN, SA , (2007) FORWARD AND NON-FORWARD SYMPLECTIC INTEGRATORS IN SOLVING CLASSICAL DYNAMICS PROBLEMS.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 84. ISSUE 6. P. 729-747 37 82% 2
5 SEYDAOGLU, M , BLANES, S , (2014) HIGH-ORDER SPLITTING METHODS FOR SEPARABLE NON-AUTONOMOUS PARABOLIC EQUATIONS.APPLIED NUMERICAL MATHEMATICS. VOL. 84. ISSUE . P. 22 -32 24 100% 3
6 CHIN, SA , CHEN, CR , (2005) FORWARD SYMPLECTIC INTEGRATORS FOR SOLVING GRAVITATIONAL FEW-BODY PROBLEMS.CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY. VOL. 91. ISSUE 3-4. P. 301-322 31 94% 16
7 ZHANG, RL , QIN, H , TANG, YF , LIU, J , HE, Y , XIAO, JY , (2016) EXPLICIT SYMPLECTIC ALGORITHMS BASED ON GENERATING FUNCTIONS FOR CHARGED PARTICLE DYNAMICS.PHYSICAL REVIEW E. VOL. 94. ISSUE 1. P. - 28 80% 0
8 JAY, LO , (2004) PRESERVING POISSON STRUCTURE AND ORTHOGONALITY IN NUMERICAL INTEGRATION OF DIFFERENTIAL EQUATIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 48. ISSUE 1-2. P. 237 -255 31 97% 3
9 BADER, P , BLANES, S , CASAS, F , (2013) SOLVING THE SCHRODINGER EIGENVALUE PROBLEM BY THE IMAGINARY TIME PROPAGATION TECHNIQUE USING SPLITTING METHODS WITH COMPLEX COEFFICIENTS.JOURNAL OF CHEMICAL PHYSICS. VOL. 139. ISSUE 12. P. - 25 89% 7
10 ORTOLAN, G , SACCON, A , (2012) A NUMERICAL TEST OF LONG-TIME STABILITY FOR RIGID BODY INTEGRATORS.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. VOL. 90. ISSUE 3. P. 390 -402 26 87% 1

Classes with closest relation at Level 1


Rank Class id link
1 22502 MULTIPLE TIME STEP//SHAKE//SYMPLECTIC INTEGRATION METHODS
2 10618 MULTI SYMPLECTIC//RLW EQUATION//MULTI SYMPLECTIC SCHEME
3 9678 PHASE LAG//EXPONENTIAL FITTING//MULTISTEP METHODS
4 16120 EXPONENTIAL INTEGRATORS//MATRIX FUNCTIONS//MATRIX EXPONENTIAL
5 31022 MACRO SCALE QUANTUM EFFECTS//CURL FREE VECTOR POTENTIAL//LADDER THEORY
6 12780 FINITE ROTATIONS//GEOMETRICALLY EXACT BEAM//CONSERVING TIME INTEGRATION
7 24665 AIR POLLUTION MODELS//TROTTER KATO PRODUCT FORMULA//OPERATOR NORM CONVERGENCE
8 20817 INFORMATION METABOLISM//SPURIOUS SOLUTIONS//ASYMPTOTIC BEHAVIOR OF NUMERICAL SOLUTIONS
9 4898 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS
10 25276 CP METHODS//STURM LIOUVILLE PROBLEM//ASYMPTOTIC CORRECTION

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