Class information for:
Level 1: POLYNOMIAL CHAOS//UNCERTAINTY QUANTIFICATION//STOCHASTIC COLLOCATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3278 2021 31.6 51%


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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
377 3       TOPOLOGY OPTIMIZATION//STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION//LATTICE RULES 32367
1354 2             POLYNOMIAL CHAOS//UNCERTAINTY QUANTIFICATION//COMPUTER EXPERIMENTS 8281
3278 1                   POLYNOMIAL CHAOS//UNCERTAINTY QUANTIFICATION//STOCHASTIC COLLOCATION 2021

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 POLYNOMIAL CHAOS authKW 3154274 14% 72% 289
2 UNCERTAINTY QUANTIFICATION authKW 1553818 17% 30% 339
3 STOCHASTIC COLLOCATION authKW 876032 4% 77% 75
4 STOCHASTIC FINITE ELEMENTS authKW 719316 4% 64% 74
5 STOCHASTIC FINITE ELEMENT METHOD authKW 583313 4% 53% 73
6 STOCHASTIC GALERKIN METHOD authKW 573472 2% 86% 44
7 GENERALIZED POLYNOMIAL CHAOS authKW 510348 2% 68% 50
8 POLYNOMIAL CHAOS EXPANSION authKW 503502 3% 48% 70
9 KARHUNEN LOEVE EXPANSION authKW 401907 4% 30% 88
10 STOCHASTIC COLLOCATION METHOD authKW 289266 1% 64% 30

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, Interdisciplinary Applications 15415 20% 0% 405
2 Engineering, General 10907 18% 0% 363
3 Mechanics 10633 26% 0% 517
4 Computer Science, Interdisciplinary Applications 6233 15% 0% 311
5 Engineering, Mechanical 4746 16% 0% 328
6 Mathematics, Applied 3814 18% 0% 367
7 Physics, Mathematical 2606 11% 0% 214
8 Engineering, Civil 1951 9% 0% 184
9 Engineering, Aerospace 644 3% 0% 59
10 Statistics & Probability 641 5% 0% 98

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 MAT PROC DESIGN CONTROL 268557 2% 48% 37
2 CSQI MATHICSE 94124 0% 69% 9
3 MATHICSE CSQI 87892 0% 73% 8
4 SEMINAR PL MATH 85646 2% 14% 40
5 GEORGE BROWN ENGN 77693 0% 86% 6
6 MODELISAT SIMULAT MULTIECHELLE MSME UMR CNRS 82 60429 0% 100% 4
7 SRI UNCERTAINTY QUANTIFICAT COMPUTAT SCI EN 54381 0% 60% 6
8 LEHRSTUHL ANGEW MATH NUMER MATH 52868 0% 50% 7
9 CIVIL ENGG ENGG MECH 45322 0% 100% 3
10 WATER OURCES HYDROPOWER ENGN SC 41829 0% 46% 6

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 INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION 207513 2% 30% 46
2 PROBABILISTIC ENGINEERING MECHANICS 105748 4% 9% 81
3 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 38837 7% 2% 146
4 JOURNAL OF COMPUTATIONAL PHYSICS 26781 7% 1% 141
5 SIAM JOURNAL ON SCIENTIFIC COMPUTING 21948 4% 2% 71
6 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 10836 4% 1% 77
7 COMMUNICATIONS IN COMPUTATIONAL PHYSICS 9758 1% 2% 28
8 COMPUTERS & STRUCTURES 7814 3% 1% 69
9 JOURNAL OF ENGINEERING MECHANICS-ASCE 6087 1% 1% 29
10 MULTISCALE MODELING & SIMULATION 5486 1% 2% 17

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 POLYNOMIAL CHAOS 3154274 14% 72% 289 Search POLYNOMIAL+CHAOS Search POLYNOMIAL+CHAOS
2 UNCERTAINTY QUANTIFICATION 1553818 17% 30% 339 Search UNCERTAINTY+QUANTIFICATION Search UNCERTAINTY+QUANTIFICATION
3 STOCHASTIC COLLOCATION 876032 4% 77% 75 Search STOCHASTIC+COLLOCATION Search STOCHASTIC+COLLOCATION
4 STOCHASTIC FINITE ELEMENTS 719316 4% 64% 74 Search STOCHASTIC+FINITE+ELEMENTS Search STOCHASTIC+FINITE+ELEMENTS
5 STOCHASTIC FINITE ELEMENT METHOD 583313 4% 53% 73 Search STOCHASTIC+FINITE+ELEMENT+METHOD Search STOCHASTIC+FINITE+ELEMENT+METHOD
6 STOCHASTIC GALERKIN METHOD 573472 2% 86% 44 Search STOCHASTIC+GALERKIN+METHOD Search STOCHASTIC+GALERKIN+METHOD
7 GENERALIZED POLYNOMIAL CHAOS 510348 2% 68% 50 Search GENERALIZED+POLYNOMIAL+CHAOS Search GENERALIZED+POLYNOMIAL+CHAOS
8 POLYNOMIAL CHAOS EXPANSION 503502 3% 48% 70 Search POLYNOMIAL+CHAOS+EXPANSION Search POLYNOMIAL+CHAOS+EXPANSION
9 KARHUNEN LOEVE EXPANSION 401907 4% 30% 88 Search KARHUNEN+LOEVE+EXPANSION Search KARHUNEN+LOEVE+EXPANSION
10 STOCHASTIC COLLOCATION METHOD 289266 1% 64% 30 Search STOCHASTIC+COLLOCATION+METHOD Search STOCHASTIC+COLLOCATION+METHOD

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 STEFANOU, G , (2009) THE STOCHASTIC FINITE ELEMENT METHOD: PAST, PRESENT AND FUTURE.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 198. ISSUE 9-12. P. 1031 -1051 95 58% 248
2 SOIZE, C , (2013) STOCHASTIC MODELING OF UNCERTAINTIES IN COMPUTATIONAL STRUCTURAL DYNAMICS-RECENT THEORETICAL ADVANCES.JOURNAL OF SOUND AND VIBRATION. VOL. 332. ISSUE 10. P. 2379 -2395 76 73% 31
3 XIU, DB , (2009) FAST NUMERICAL METHODS FOR STOCHASTIC COMPUTATIONS: A REVIEW.COMMUNICATIONS IN COMPUTATIONAL PHYSICS. VOL. 5. ISSUE 2-4. P. 242-272 58 81% 227
4 NAJM, HN , MALORANI, M , (2014) ENFORCING POSITIVITY IN INTRUSIVE PC-UQ METHODS FOR REACTIVE ODE SYSTEMS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 270. ISSUE . P. 544 -569 59 89% 4
5 SOIZE, C , (2010) IDENTIFICATION OF HIGH-DIMENSION POLYNOMIAL CHAOS EXPANSIONS WITH RANDOM COEFFICIENTS FOR NON-GAUSSIAN TENSOR-VALUED RANDOM FIELDS USING PARTIAL AND LIMITED EXPERIMENTAL DATA.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 199. ISSUE 33-36. P. 2150 -2164 57 98% 20
6 GUNZBURGER, MD , WEBSTER, CG , ZHANG, G , (2014) STOCHASTIC FINITE ELEMENT METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA.ACTA NUMERICA. VOL. 23. ISSUE . P. 521 -650 81 56% 9
7 NAJM, HN , (2009) UNCERTAINTY QUANTIFICATION AND POLYNOMIAL CHAOS TECHNIQUES IN COMPUTATIONAL FLUID DYNAMICS.ANNUAL REVIEW OF FLUID MECHANICS. VOL. 41. ISSUE . P. 35 -52 44 88% 158
8 PANAYIRCI, HM , SCHUELLER, GI , (2011) ON THE CAPABILITIES OF THE POLYNOMIAL CHAOS EXPANSION METHOD WITHIN SFE ANALYSIS-AN OVERVIEW.ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING. VOL. 18. ISSUE 1. P. 43 -55 57 78% 15
9 SOIZE, C , DESCELIERS, C , (2010) COMPUTATIONAL ASPECTS FOR CONSTRUCTING REALIZATIONS OF POLYNOMIAL CHAOS IN HIGH DIMENSION.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 32. ISSUE 5. P. 2820 -2831 48 98% 5
10 NOUY, A , SOIZE, C , (2014) RANDOM FIELD REPRESENTATIONS FOR STOCHASTIC ELLIPTIC BOUNDARY VALUE PROBLEMS AND STATISTICAL INVERSE PROBLEMS.EUROPEAN JOURNAL OF APPLIED MATHEMATICS. VOL. 25. ISSUE . P. 339 -373 45 82% 1

Classes with closest relation at Level 1


Rank Class id link
1 14448 CONVEX MODEL//UNCERTAIN BUT BOUNDED PARAMETERS//INTERVAL FINITE ELEMENT METHOD
2 29917 STOCHASTIC BOUNDARY ELEMENT METHOD//SPLINE FICTITIOUS BOUNDARY ELEMENT METHOD//GENERAL ORTHOTROPY
3 30114 STOCHASTIC OPERATIONAL MATRIX//UNIV MATEMAT MULTIDISCIPLINAR//RANDOM DIFFERENTIAL EQUATIONS
4 28212 SPIRAL ORTHOTROPY//PRE COMPRESSION RINGS//APPLICATIONS MARINE COMPOSITES
5 37501 COMBINATION TECHNIQUE//TWO SCALE DISCRETIZATION//SPARSE GRIDS
6 3613 STRUCTURAL SAFETY//STRUCTURAL RELIABILITY//RELIABILITY BASED DESIGN OPTIMIZATION
7 8731 GLOBAL SENSITIVITY ANALYSIS//WASTE ISOLATION PILOT PLANT//HIGH DIMENSIONAL MODEL REPRESENTATION
8 22592 MANUFACTURED SOLUTIONS//CODE VERIFICATION//AREA METRIC
9 4296 PROPER ORTHOGONAL DECOMPOSITION//REDUCED BASIS METHOD//REDUCED ORDER MODEL
10 22622 CUBATURE//APPROXIMATE FEKETE POINTS//PADUA POINTS

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