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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16120 672 24.8 48%


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
16120 1                   EXPONENTIAL INTEGRATORS//MATRIX FUNCTIONS//MATRIX EXPONENTIAL 672

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 EXPONENTIAL INTEGRATORS authKW 2424917 12% 68% 78
2 MATRIX FUNCTIONS authKW 1851594 12% 50% 82
3 MATRIX EXPONENTIAL authKW 1411575 12% 39% 80
4 MATRIX SQUARE ROOT authKW 594363 3% 59% 22
5 MATRIX PTH ROOT authKW 556615 2% 88% 14
6 PHI FUNCTIONS authKW 479936 2% 81% 13
7 EXPONENTIAL TIME DIFFERENCING authKW 454362 3% 50% 20
8 MATRIX LOGARITHM authKW 445272 3% 47% 21
9 STIFF ORDER CONDITIONS authKW 408944 1% 100% 9
10 KRYLOV SUBSPACE APPROXIMATION authKW 392711 2% 79% 11

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 23060 73% 0% 488
2 Mathematics 1219 19% 0% 131
3 Computer Science, Interdisciplinary Applications 674 9% 0% 61
4 Physics, Mathematical 535 8% 0% 57
5 Computer Science, Software Engineering 361 6% 0% 39
6 Mathematics, Interdisciplinary Applications 103 3% 0% 22
7 Computer Science, Theory & Methods 67 3% 0% 23
8 Mechanics 60 4% 0% 29
9 Engineering, General 46 3% 0% 17
10 Automation & Control Systems 10 1% 0% 8

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 RUMENTAC IMAGEN MOL 161549 1% 44% 8
2 ANOEDPUMR 8524 45438 0% 100% 1
3 DETP PETR GEOSYST ENGN 45438 0% 100% 1
4 DIP MAT PURA PL 45438 0% 100% 1
5 DIP MET MOD MAT SCI PL 45438 0% 100% 1
6 DMI XLIM UMR 7252 45438 0% 100% 1
7 DOTTORATO RIC MATEMAT COMPUTAZ 45438 0% 100% 1
8 DPTO FIS MATEMAT CIENCIAS INGN 45438 0% 100% 1
9 DPTO GEOFIS LICADA 45438 0% 100% 1
10 ELECT ENGN MATH COMP 45438 0% 100% 1

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 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 49056 7% 2% 48
2 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 17885 3% 2% 20
3 SIAM JOURNAL ON SCIENTIFIC COMPUTING 15167 5% 1% 34
4 BIT NUMERICAL MATHEMATICS 12175 3% 1% 20
5 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 10298 7% 0% 48
6 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 9658 2% 2% 11
7 APPLIED NUMERICAL MATHEMATICS 9626 4% 1% 25
8 LINEAR ALGEBRA AND ITS APPLICATIONS 9061 7% 0% 48
9 SIAM JOURNAL ON NUMERICAL ANALYSIS 8669 4% 1% 28
10 NUMERICAL ALGORITHMS 6496 2% 1% 16

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 EXPONENTIAL INTEGRATORS 2424917 12% 68% 78 Search EXPONENTIAL+INTEGRATORS Search EXPONENTIAL+INTEGRATORS
2 MATRIX FUNCTIONS 1851594 12% 50% 82 Search MATRIX+FUNCTIONS Search MATRIX+FUNCTIONS
3 MATRIX EXPONENTIAL 1411575 12% 39% 80 Search MATRIX+EXPONENTIAL Search MATRIX+EXPONENTIAL
4 MATRIX SQUARE ROOT 594363 3% 59% 22 Search MATRIX+SQUARE+ROOT Search MATRIX+SQUARE+ROOT
5 MATRIX PTH ROOT 556615 2% 88% 14 Search MATRIX+PTH+ROOT Search MATRIX+PTH+ROOT
6 PHI FUNCTIONS 479936 2% 81% 13 Search PHI+FUNCTIONS Search PHI+FUNCTIONS
7 EXPONENTIAL TIME DIFFERENCING 454362 3% 50% 20 Search EXPONENTIAL+TIME+DIFFERENCING Search EXPONENTIAL+TIME+DIFFERENCING
8 MATRIX LOGARITHM 445272 3% 47% 21 Search MATRIX+LOGARITHM Search MATRIX+LOGARITHM
9 STIFF ORDER CONDITIONS 408944 1% 100% 9 Search STIFF+ORDER+CONDITIONS Search STIFF+ORDER+CONDITIONS
10 KRYLOV SUBSPACE APPROXIMATION 392711 2% 79% 11 Search KRYLOV+SUBSPACE+APPROXIMATION Search KRYLOV+SUBSPACE+APPROXIMATION

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 WU, G , ZHANG, L , XU, TT , (2016) A FRAMEWORK OF THE HARMONIC ARNOLDI METHOD FOR EVALUATING PHI-FUNCTIONS WITH APPLICATIONS TO EXPONENTIAL INTEGRATORS.ADVANCES IN COMPUTATIONAL MATHEMATICS. VOL. 42. ISSUE 3. P. 505 -541 42 81% 0
2 GOCKLER, T , GRIMM, V , (2017) ACCELERATION OF CONTOUR INTEGRATION TECHNIQUES BY RATIONAL KRYLOV SUBSPACE METHODS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 316. ISSUE . P. 133 -142 28 90% 0
3 BOTCHEV, MA , (2016) KRYLOV SUBSPACE EXPONENTIAL TIME DOMAIN SOLUTION OF MAXWELL'S EQUATIONS IN PHOTONIC CRYSTAL MODELING.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 293. ISSUE . P. 20 -34 38 61% 0
4 GOCKLER, T , GRIMM, V , (2014) UNIFORM APPROXIMATION OF PHI-FUNCTIONS IN EXPONENTIAL INTEGRATORS BY A RATIONAL KRYLOV SUBSPACE METHOD WITH SIMPLE POLES.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 35. ISSUE 4. P. 1467 -1489 24 96% 4
5 LOFFELD, J , TOKMAN, M , (2014) IMPLEMENTATION OF PARALLEL ADAPTIVE-KRYLOV EXPONENTIAL SOLVERS FOR STIFF PROBLEMS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 36. ISSUE 5. P. C591 -C616 25 81% 2
6 GOCKLER, T , GRIMM, V , (2013) CONVERGENCE ANALYSIS OF AN EXTENDED KRYLOV SUBSPACE METHOD FOR THE APPROXIMATION OF OPERATOR FUNCTIONS IN EXPONENTIAL INTEGRATORS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 51. ISSUE 4. P. 2189-2213 22 92% 5
7 GU, CQ , ZHENG, L , (2013) COMPUTATION OF MATRIX FUNCTIONS WITH DEFLATED RESTARTING.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 237. ISSUE 1. P. 223 -233 26 79% 0
8 JIA, ZX , LV, H , (2015) A POSTERIORI ERROR ESTIMATES OF KRYLOV SUBSPACE APPROXIMATIONS TO MATRIX FUNCTIONS.NUMERICAL ALGORITHMS. VOL. 69. ISSUE 1. P. 1 -28 24 80% 1
9 MOLER, C , VAN LOAN, C , (2003) NINETEEN DUBIOUS WAYS TO COMPUTE THE EXPONENTIAL OF A MATRIX, TWENTY-FIVE YEARS LATER.SIAM REVIEW. VOL. 45. ISSUE 1. P. 3 -49 22 67% 653
10 GANDER, MJ , GUTTEL, S , (2013) PARAEXP: A PARALLEL INTEGRATOR FOR LINEAR INITIAL-VALUE PROBLEMS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 35. ISSUE 2. P. C123 -C142 24 77% 9

Classes with closest relation at Level 1


Rank Class id link
1 14267 NONLINEAR MATRIX EQUATION//NONSYMMETRIC ALGEBRAIC RICCATI EQUATION//POSITIVE DEFINITE SOLUTION
2 7476 GEOMETRIC INTEGRATION//SYMPLECTIC INTEGRATORS//SYMPLECTIC INTEGRATION
3 4176 GMRES//MULTIPLE RIGHT HAND SIDES//NONSYMMETRIC LINEAR SYSTEMS
4 28552 WEEKS METHOD//SLOWLY CONVERGENT SERIES//LAPLACE TRANSFORM INVERSION
5 30091 ANALYTIC NUMERICAL SOLUTION//COUPLED DIFFUSION PROBLEM//A PRIORI ERROR BOUND
6 22112 RESOLVENT CONDITION//KREISS MATRIX THEOREM//MAXIMUM NORM
7 4898 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS
8 21015 DIGITAL REDESIGN//INTELLIGENT DIGITAL REDESIGN IDR//INPUT TIME DELAY SYSTEMS
9 8262 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//NUMERICAL RANK//RANK REVEALING
10 8229 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//STABILITY RADIUS

Go to start page