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

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
3628 1867 30.2 49%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)


ID, lev.
above		 Publications Label for level above
1514 6943 POLYNOMIAL CHAOS//UNCERTAINTY QUANTIFICATION//COMPUTER EXPERIMENT

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 POLYNOMIAL CHAOS Author keyword 255 64% 14% 253
2 UNCERTAINTY QUANTIFICATION Author keyword 108 32% 15% 282
3 STOCHASTIC COLLOCATION Author keyword 74 70% 3% 61
4 STOCHASTIC GALERKIN METHOD Author keyword 50 86% 1% 25
5 STOCHASTIC FINITE ELEMENTS Author keyword 42 61% 2% 45
6 GENERALIZED POLYNOMIAL CHAOS Author keyword 39 63% 2% 40
7 POLYNOMIAL CHAOS EXPANSION Author keyword 36 47% 3% 56
8 STOCHASTIC FINITE ELEMENT METHOD Author keyword 29 41% 3% 55
9 MAT PROC DESIGN CONTROL Address 28 51% 2% 39
10 KARHUNEN LOEVE EXPANSION Author keyword 25 27% 4% 80

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 POLYNOMIAL CHAOS 255 64% 14% 253 Search POLYNOMIAL+CHAOS Search POLYNOMIAL+CHAOS
2 UNCERTAINTY QUANTIFICATION 108 32% 15% 282 Search UNCERTAINTY+QUANTIFICATION Search UNCERTAINTY+QUANTIFICATION
3 STOCHASTIC COLLOCATION 74 70% 3% 61 Search STOCHASTIC+COLLOCATION Search STOCHASTIC+COLLOCATION
4 STOCHASTIC GALERKIN METHOD 50 86% 1% 25 Search STOCHASTIC+GALERKIN+METHOD Search STOCHASTIC+GALERKIN+METHOD
5 STOCHASTIC FINITE ELEMENTS 42 61% 2% 45 Search STOCHASTIC+FINITE+ELEMENTS Search STOCHASTIC+FINITE+ELEMENTS
6 GENERALIZED POLYNOMIAL CHAOS 39 63% 2% 40 Search GENERALIZED+POLYNOMIAL+CHAOS Search GENERALIZED+POLYNOMIAL+CHAOS
7 POLYNOMIAL CHAOS EXPANSION 36 47% 3% 56 Search POLYNOMIAL+CHAOS+EXPANSION Search POLYNOMIAL+CHAOS+EXPANSION
8 STOCHASTIC FINITE ELEMENT METHOD 29 41% 3% 55 Search STOCHASTIC+FINITE+ELEMENT+METHOD Search STOCHASTIC+FINITE+ELEMENT+METHOD
9 KARHUNEN LOEVE EXPANSION 25 27% 4% 80 Search KARHUNEN+LOEVE+EXPANSION Search KARHUNEN+LOEVE+EXPANSION
10 STOCHASTIC GALERKIN 24 82% 1% 14 Search STOCHASTIC+GALERKIN Search STOCHASTIC+GALERKIN

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 GENERALIZED POLYNOMIAL CHAOS 294 82% 9% 172
2 POLYNOMIAL CHAOS 189 58% 12% 215
3 RANDOM INPUT DATA 171 78% 6% 113
4 MODELING UNCERTAINTY 106 81% 3% 64
5 STOCHASTIC COLLOCATION METHOD 52 70% 2% 43
6 WEIGHTED INTEGRAL METHOD 47 81% 2% 29
7 REDUCED BASIS METHODS 41 85% 1% 22
8 CHAOS REPRESENTATIONS 31 82% 1% 18
9 UNCERTAINTY QUANTIFICATION 26 38% 3% 56
10 STOCHASTIC FINITE ELEMENTS 22 58% 1% 26

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION 19 37% 2% 40

Reviews


Title Publ. year Cit. Active references % act. ref.
to same field
Global sensitivity analysis using polynomial chaos expansions 2008 187 30 77%
Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics 2009 114 49 86%
The stochastic finite element method: Past, present and future 2009 168 165 58%
Proper Generalized Decompositions and Separated Representations for the Numerical Solution of High Dimensional Stochastic Problems 2010 41 43 65%
Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations 2009 54 60 77%
Uncertainties in probabilistic numerical analysis of structures and solids - Stochastic finite elements 1997 137 32 69%
On the Capabilities of the Polynomial Chaos Expansion Method within SFE Analysis-An Overview 2011 10 71 83%
Stochastic finite elements: Computational approaches to stochastic partial differential equations 2008 22 48 94%
Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches 2009 28 56 46%
Special issue - A state-of-the-art report on computational stochastic mechanics - Preface 1997 213 177 21%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 MAT PROC DESIGN CONTROL 28 51% 2.1% 39
2 GEORGE BROWN ENGN 12 86% 0.3% 6
3 CSQI MATHICSE 5 60% 0.3% 6
4 SRC SIMULAT TECHNOL 5 60% 0.3% 6
5 LEHRSTUHL ANGEW MATH NUMER MATH 5 54% 0.4% 7
6 SEMINAR PL MATH 5 14% 1.8% 34
7 HYDRAUL ENGN LH2 4 67% 0.2% 4
8 SECT NUCL ENERGY RADIAT PLICAT 4 75% 0.2% 3
9 CIVIL ENGG ENGG MECH 3 100% 0.2% 3
10 MODELISAT SIMULAT MULTIECHELLE MSME UMR CNRS 82 3 100% 0.2% 3

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000175773 UNCERTAIN BUT BOUNDED PARAMETERS//INTERVAL PERTURBATION METHOD//INTERVAL FINITE ELEMENT METHOD
2 0.0000145983 PRE COMPRESSION RINGS//2 D RANDOM FIELDS//FRANGIBLE COVER
3 0.0000109704 STRUCTURAL SAFETY//STRUCTURAL RELIABILITY//RELIABILITY BASED DESIGN OPTIMIZATION
4 0.0000082281 POUNDING//STRUCTURAL POUNDING//SPECTRAL REPRESENTATION METHOD
5 0.0000071765 STOCHASTIC OPERATIONAL MATRIX//RANDOM LINEAR TRANSPORT EQUATION//RANDOM POWER SERIES SOLUTION
6 0.0000069893 COMPLIANCE CERTIFICATION APPLICATION//WASTE ISOLATION PILOT PLANT//MOMENT INDEPENDENT
7 0.0000066853 BATCH BEHAVIOUR//HORT PROD CHAINS//GRP AFSG
8 0.0000065203 INFRASTRUCT ENGN TEAM//RELIABILITY BASED DESIGN//LOAD AND RESISTANCE FACTOR DESIGN
9 0.0000056327 STOCHASTIC AVERAGING//STOCHASTIC AVERAGING METHOD//PROBABILISTIC ENGINEERING MECHANICS
10 0.0000052436 UPSCALING//MULTISCALE FINITE VOLUME METHOD//GENERALIZED MULTISCALE FINITE ELEMENT METHOD