Class information for:
Level 1: EXPONENTIAL INTEGRATORS//MATRIX FUNCTIONS//MATRIX EXPONENTIAL

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
18225 1                   EXPONENTIAL INTEGRATORS//MATRIX FUNCTIONS//MATRIX EXPONENTIAL 587

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EXPONENTIAL INTEGRATORS authKW 2677408 13% 64% 78
2 MATRIX FUNCTIONS authKW 1192896 11% 36% 62
3 MATRIX EXPONENTIAL authKW 1080691 11% 30% 67
4 PHI FUNCTIONS authKW 619011 2% 82% 14
5 STIFF ORDER CONDITIONS authKW 483211 2% 100% 9
6 KRYLOV SUBSPACE APPROXIMATION authKW 464031 2% 79% 11
7 EXPONENTIAL TIME DIFFERENCING authKW 430692 3% 42% 19
8 EXPONENTIAL RUNGE KUTTA METHODS authKW 381795 1% 89% 8
9 MATRIX COSINE authKW 381795 1% 89% 8
10 KRYLOV PROJECTIONS authKW 375831 1% 100% 7

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 17669 68% 0% 400
2 Mathematics 1240 21% 0% 123
3 Computer Science, Interdisciplinary Applications 985 12% 0% 68
4 Physics, Mathematical 780 11% 0% 63
5 Computer Science, Software Engineering 498 7% 0% 42
6 Mathematics, Interdisciplinary Applications 123 4% 0% 22
7 Computer Science, Theory & Methods 58 3% 0% 20
8 Engineering, General 41 3% 0% 15
9 Mechanics 35 4% 0% 22
10 Water Resources 8 2% 0% 10

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RUMENTAC IMAGEN MOL 217435 2% 45% 9
2 ANOEDPUMR 8524 53690 0% 100% 1
3 BEREICH B 53690 0% 100% 1
4 DETP PETR GEOSYST ENGN 53690 0% 100% 1
5 DIP MAT PURA PL 53690 0% 100% 1
6 DIP MET MOD MAT SCI PL 53690 0% 100% 1
7 DMI XLIM UMR 7252 53690 0% 100% 1
8 DOTTORATO RIC MATEMAT COMPUTAZ 53690 0% 100% 1
9 ELECT ENGN MATH COMP 53690 0% 100% 1
10 EQUIPE CALCUT FORMEL 53690 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SIAM JOURNAL ON SCIENTIFIC COMPUTING 19463 6% 1% 36
2 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 19423 5% 1% 28
3 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 14858 3% 2% 17
4 BIT NUMERICAL MATHEMATICS 14155 3% 1% 20
5 SIAM JOURNAL ON NUMERICAL ANALYSIS 11593 5% 1% 30
6 APPLIED NUMERICAL MATHEMATICS 9297 4% 1% 23
7 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 8220 7% 0% 40
8 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 7639 2% 2% 9
9 JOURNAL OF COMPUTATIONAL PHYSICS 7019 7% 0% 39
10 JOURNAL OF SCIENTIFIC COMPUTING 4935 2% 1% 12

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 EXPONENTIAL INTEGRATORS 2677408 13% 64% 78 Search EXPONENTIAL+INTEGRATORS Search EXPONENTIAL+INTEGRATORS
2 MATRIX FUNCTIONS 1192896 11% 36% 62 Search MATRIX+FUNCTIONS Search MATRIX+FUNCTIONS
3 MATRIX EXPONENTIAL 1080691 11% 30% 67 Search MATRIX+EXPONENTIAL Search MATRIX+EXPONENTIAL
4 PHI FUNCTIONS 619011 2% 82% 14 Search PHI+FUNCTIONS Search PHI+FUNCTIONS
5 STIFF ORDER CONDITIONS 483211 2% 100% 9 Search STIFF+ORDER+CONDITIONS Search STIFF+ORDER+CONDITIONS
6 KRYLOV SUBSPACE APPROXIMATION 464031 2% 79% 11 Search KRYLOV+SUBSPACE+APPROXIMATION Search KRYLOV+SUBSPACE+APPROXIMATION
7 EXPONENTIAL TIME DIFFERENCING 430692 3% 42% 19 Search EXPONENTIAL+TIME+DIFFERENCING Search EXPONENTIAL+TIME+DIFFERENCING
8 EXPONENTIAL RUNGE KUTTA METHODS 381795 1% 89% 8 Search EXPONENTIAL+RUNGE+KUTTA+METHODS Search EXPONENTIAL+RUNGE+KUTTA+METHODS
9 MATRIX COSINE 381795 1% 89% 8 Search MATRIX+COSINE Search MATRIX+COSINE
10 KRYLOV PROJECTIONS 375831 1% 100% 7 Search KRYLOV+PROJECTIONS Search KRYLOV+PROJECTIONS

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 21235 MATRIX SIGN FUNCTION//MATRIX PTH ROOT//MATRIX SQUARE ROOT
2 33251 WEEKS METHOD//INVERSION OF LAPLACE TRANSFORM//LAPLACE TRANSFORM INVERSION
3 17004 ISOSPECTRAL FLOW//TODA FLOW//NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS ON MANIFOLDS
4 20048 CASCADIC MULTIGRID//CASCADIC MULTIGRID METHOD//RESOLVENT CONDITION
5 12718 JACOBI DAVIDSON//JACOBI DAVIDSON METHOD//RITZ VALUES
6 35037 EXTENDED ONE STEP METHODS//GENERALIZED TRAPEZOIDAL FORMULAS//L STABILITY
7 2789 GMRES//KRYLOV SUBSPACE METHODS//NONSYMMETRIC LINEAR SYSTEMS
8 5399 SYMPLECTIC INTEGRATORS//MULTI SYMPLECTIC//MULTI SYMPLECTIC SCHEME
9 4178 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//STRONG STABILITY PRESERVING
10 24293 WAVEFORM RELAXATION//PARAREAL ALGORITHM//PARAREAL

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