Class information for:
Level 1: GENERALIZED GREENS FUNCTION//MULTIRATE TIME STEPPING//OPERATOR DECOMPOSITION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
32017 145 21.8 43%


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
32017 1                   GENERALIZED GREENS FUNCTION//MULTIRATE TIME STEPPING//OPERATOR DECOMPOSITION 145

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 GENERALIZED GREENS FUNCTION authKW 1421477 6% 75% 9
2 MULTIRATE TIME STEPPING authKW 1263539 4% 100% 6
3 OPERATOR DECOMPOSITION authKW 898509 6% 53% 8
4 MULTIRATE TIME INTEGRATION authKW 877456 3% 83% 5
5 INDIVIDUAL TIME STEPS authKW 842360 3% 100% 4
6 MULTI ADAPTIVITY authKW 842360 3% 100% 4
7 ADJOINT PROBLEM authKW 673862 11% 20% 16
8 GOAL ORIENTED ERROR ESTIMATES authKW 658090 3% 63% 5
9 MCGQ authKW 631770 2% 100% 3
10 MDGQ authKW 631770 2% 100% 3

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 4119 66% 0% 96
2 Computer Science, Software Engineering 309 11% 0% 16
3 Mathematics, Interdisciplinary Applications 281 10% 0% 15
4 Engineering, General 214 10% 0% 14
5 Mechanics 205 14% 0% 20
6 Computer Science, Interdisciplinary Applications 119 8% 0% 12
7 Physics, Mathematical 32 5% 0% 7
8 Engineering, Aerospace 8 1% 0% 2
9 Mathematical & Computational Biology 5 1% 0% 2
10 Thermodynamics 5 2% 0% 3

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 MATH MODELLING ANAL COMPUAT MATH IMACM 210590 1% 100% 1
2 MDC RKS 2 210590 1% 100% 1
3 ETUD RECH MATH PL 210588 1% 50% 2
4 WISS RECHNEN 105294 1% 50% 1
5 CHAIR PL MATH NUMER ANAL 76575 1% 18% 2
6 IWRMM 60165 1% 14% 2
7 MATH CHEM PHYS 60165 1% 14% 2
8 INT NEUROINFORMAT COORDINATING IL 52646 1% 25% 1
9 COMPUTAT SCI RD GRP 42116 1% 20% 1
10 MATH COMPUTAT SCI GRP 42116 1% 20% 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 BIT NUMERICAL MATHEMATICS 9042 6% 1% 8
2 SIAM JOURNAL ON NUMERICAL ANALYSIS 8691 9% 0% 13
3 SIAM JOURNAL ON SCIENTIFIC COMPUTING 7368 8% 0% 11
4 APPLIED NUMERICAL MATHEMATICS 7155 7% 0% 10
5 JOURNAL OF SCIENTIFIC COMPUTING 5213 4% 0% 6
6 COMPUTERS & MATHEMATICS WITH APPLICATIONS-PART A 2476 1% 1% 1
7 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 2120 5% 0% 7
8 MATHEMATICS OF COMPUTATION 1902 4% 0% 6
9 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 1621 6% 0% 8
10 INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION 1365 1% 1% 1

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 GENERALIZED GREENS FUNCTION 1421477 6% 75% 9 Search GENERALIZED+GREENS+FUNCTION Search GENERALIZED+GREENS+FUNCTION
2 MULTIRATE TIME STEPPING 1263539 4% 100% 6 Search MULTIRATE+TIME+STEPPING Search MULTIRATE+TIME+STEPPING
3 OPERATOR DECOMPOSITION 898509 6% 53% 8 Search OPERATOR+DECOMPOSITION Search OPERATOR+DECOMPOSITION
4 MULTIRATE TIME INTEGRATION 877456 3% 83% 5 Search MULTIRATE+TIME+INTEGRATION Search MULTIRATE+TIME+INTEGRATION
5 INDIVIDUAL TIME STEPS 842360 3% 100% 4 Search INDIVIDUAL+TIME+STEPS Search INDIVIDUAL+TIME+STEPS
6 MULTI ADAPTIVITY 842360 3% 100% 4 Search MULTI+ADAPTIVITY Search MULTI+ADAPTIVITY
7 ADJOINT PROBLEM 673862 11% 20% 16 Search ADJOINT+PROBLEM Search ADJOINT+PROBLEM
8 GOAL ORIENTED ERROR ESTIMATES 658090 3% 63% 5 Search GOAL+ORIENTED+ERROR+ESTIMATES Search GOAL+ORIENTED+ERROR+ESTIMATES
9 MCGQ 631770 2% 100% 3 Search MCGQ Search MCGQ
10 MDGQ 631770 2% 100% 3 Search MDGQ Search MDGQ

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 ESTEP, D , GINTING, V , TAVENER, S , (2012) A POSTERIORI ANALYSIS OF A MULTIRATE NUMERICAL METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 223. ISSUE . P. 10 -27 29 83% 1
2 CONSTANTINESCU, EM , SANDU, A , (2013) EXTRAPOLATED MULTIRATE METHODS FOR DIFFERENTIAL EQUATIONS WITH MULTIPLE TIME SCALES.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 56. ISSUE 1. P. 28 -44 14 67% 7
3 COLLINS, JB , ESTEP, D , TAVENER, S , (2015) A POSTERIORI ERROR ANALYSIS FOR FINITE ELEMENT METHODS WITH PROJECTION OPERATORS AS APPLIED TO EXPLICIT TIME INTEGRATION TECHNIQUES.BIT NUMERICAL MATHEMATICS. VOL. 55. ISSUE 4. P. 1017 -1042 9 90% 1
4 FOK, PW , (2016) A LINEARLY FOURTH ORDER MULTIRATE RUNGE-KUTTA METHOD WITH ERROR CONTROL.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 66. ISSUE 1. P. 177 -195 11 69% 0
5 CHAUDHRY, JH , ESTEP, D , GINTING, V , TAVENER, S , (2013) A POSTERIORI ANALYSIS OF AN ITERATIVE MULTI-DISCRETIZATION METHOD FOR REACTION-DIFFUSION SYSTEMS.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 267. ISSUE . P. 1-22 9 82% 2
6 GUPTA, S , WOHLMUTH, B , HELMIG, R , (2016) MULTI-RATE TIME STEPPING SCHEMES FOR HYDRO-GEOMECHANICAL MODEL FOR SUBSURFACE METHANE HYDRATE RESERVOIRS.ADVANCES IN WATER RESOURCES. VOL. 91. ISSUE . P. 78 -87 11 61% 0
7 BUTLER, T , ESTEP, D , SANDELIN, J , (2012) A COMPUTATIONAL MEASURE THEORETIC APPROACH TO INVERSE SENSITIVITY PROBLEMS II: A POSTERIORI ERROR ANALYSIS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 50. ISSUE 1. P. 22 -45 8 89% 1
8 MERGIA, WD , PATIDAR, KC , (2016) EFFICIENT SIMULATION OF A SLOW-FAST DYNAMICAL SYSTEM USING MULTIRATE FINITE DIFFERENCE SCHEMES.QUAESTIONES MATHEMATICAE. VOL. 39. ISSUE 5. P. 689 -714 9 69% 0
9 SAVCENCO, V , HUNDSDORFER, W , VERWER, JG , (2007) A MULTIRATE TIME STEPPING STRATEGY FOR STIFF ORDINARY DIFFERENTIAL EQUATIONS.BIT NUMERICAL MATHEMATICS. VOL. 47. ISSUE 1. P. 137 -155 7 100% 32
10 BUTLER, T , ESTEP, D , (2013) A NUMERICAL METHOD FOR SOLVING A STOCHASTIC INVERSE PROBLEM FOR PARAMETERS.ANNALS OF NUCLEAR ENERGY. VOL. 52. ISSUE . P. 86-94 6 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 4898 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS
2 21454 RADIATION DIFFUSION//NEWTON KRYLOV//NEWTON KRYLOV METHODS
3 25094 INTRINSIC PARALLELISM//INTEGRAL MEAN METHOD//DOMAIN DECOMPOSITION PROCEDURES
4 6366 A POSTERIORI ERROR ESTIMATES//NONCONFORMING FINITE ELEMENT//A POSTERIORI ERROR ESTIMATOR
5 5672 DISCONTINUOUS GALERKIN METHOD//DISCONTINUOUS GALERKIN//LOCAL DISCONTINUOUS GALERKIN METHOD
6 24665 AIR POLLUTION MODELS//TROTTER KATO PRODUCT FORMULA//OPERATOR NORM CONVERGENCE
7 36038 COMPLEX SYSTEM MODELLING//BIOMETRIC NETWORK PROTOCOL//BLACKBOARD AND ACTOR BASED SYSTEMS
8 22112 RESOLVENT CONDITION//KREISS MATRIX THEOREM//MAXIMUM NORM
9 20364 DEVS//ARIZONA INTEGRAT MODELING SIMULAT//QUANTIZED STATE SYSTEMS
10 15282 WAVEFORM RELAXATION//OPTIMIZED SCHWARZ METHODS//WAVEFORM RELAXATION METHOD

Go to start page