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

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
22 4 AUTOMATION & CONTROL SYSTEMS//ENGINEERING, CIVIL//ACOUSTICS 457813
178 3       COMPUTERS & STRUCTURES//TOPOLOGY OPTIMIZATION//STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION 56949
1336 2             POLYNOMIAL CHAOS//UNCERTAINTY QUANTIFICATION//COMPUTER EXPERIMENTS 8691
6153 1                   POLYNOMIAL CHAOS//UNCERTAINTY QUANTIFICATION//STOCHASTIC COLLOCATION 1551

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 POLYNOMIAL CHAOS authKW 3955355 19% 67% 290
2 UNCERTAINTY QUANTIFICATION authKW 2040148 23% 28% 363
3 STOCHASTIC COLLOCATION authKW 1241980 5% 75% 82
4 POLYNOMIAL CHAOS EXPANSION authKW 879383 6% 49% 89
5 STOCHASTIC GALERKIN METHOD authKW 781698 3% 84% 46
6 GENERALIZED POLYNOMIAL CHAOS authKW 679425 3% 63% 53
7 STOCHASTIC COLLOCATION METHOD authKW 518529 2% 73% 35
8 KARHUNEN LOEVE EXPANSION authKW 416474 5% 25% 81
9 STOCHASTIC FINITE ELEMENTS authKW 377118 3% 39% 47
10 SPARSE GRIDS authKW 370235 3% 34% 54

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Interdisciplinary Applications 11331 20% 0% 305
2 Mathematics, Applied 6144 26% 0% 398
3 Engineering, General 5829 15% 0% 235
4 Computer Science, Interdisciplinary Applications 5226 16% 0% 250
5 Physics, Mathematical 4969 16% 0% 252
6 Mechanics 2423 15% 0% 225
7 Engineering, Aerospace 534 3% 0% 47
8 Engineering, Mechanical 464 6% 0% 100
9 Statistics & Probability 280 4% 0% 59
10 Engineering, Electrical & Electronic 260 10% 0% 158

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MAT PROC DESIGN CONTROL 270174 2% 42% 32
2 SEMINAR PL MATH 150034 3% 16% 47
3 CSQI MATHICSE 126595 1% 69% 9
4 MODELISAT SIMULAT MULTIECHELLE MSME UMR CNRS 82 101593 0% 100% 5
5 MATHICSE CSQI 82962 0% 58% 7
6 SRI UNCERTAINTY QUANTIFICAT COMPUTAT SCI EN 73142 0% 60% 6
7 LEHRSTUHL ANGEW MATH NUMER MATH 71108 0% 50% 7
8 OPTIMIZAT UNCERTAINTY QUANTIFICAT 65010 1% 40% 8
9 WATER OURCES HYDROPOWER ENGN SC 56260 0% 46% 6
10 CHAIR RISK SAFETY UNCERTAINTY QUANTIFICAT 47401 0% 33% 7

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION 236221 3% 27% 43
2 INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION 218361 3% 25% 43
3 SIAM JOURNAL ON SCIENTIFIC COMPUTING 38195 5% 2% 82
4 JOURNAL OF COMPUTATIONAL PHYSICS 36328 9% 1% 144
5 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 18721 6% 1% 89
6 PROBABILISTIC ENGINEERING MECHANICS 14484 2% 3% 26
7 COMMUNICATIONS IN COMPUTATIONAL PHYSICS 12059 2% 2% 28
8 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 6040 3% 1% 50
9 MULTISCALE MODELING & SIMULATION 5505 1% 2% 15
10 COMPUTATIONAL GEOSCIENCES 4691 1% 2% 13

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 POLYNOMIAL CHAOS 3955355 19% 67% 290 Search POLYNOMIAL+CHAOS Search POLYNOMIAL+CHAOS
2 UNCERTAINTY QUANTIFICATION 2040148 23% 28% 363 Search UNCERTAINTY+QUANTIFICATION Search UNCERTAINTY+QUANTIFICATION
3 STOCHASTIC COLLOCATION 1241980 5% 75% 82 Search STOCHASTIC+COLLOCATION Search STOCHASTIC+COLLOCATION
4 POLYNOMIAL CHAOS EXPANSION 879383 6% 49% 89 Search POLYNOMIAL+CHAOS+EXPANSION Search POLYNOMIAL+CHAOS+EXPANSION
5 STOCHASTIC GALERKIN METHOD 781698 3% 84% 46 Search STOCHASTIC+GALERKIN+METHOD Search STOCHASTIC+GALERKIN+METHOD
6 GENERALIZED POLYNOMIAL CHAOS 679425 3% 63% 53 Search GENERALIZED+POLYNOMIAL+CHAOS Search GENERALIZED+POLYNOMIAL+CHAOS
7 STOCHASTIC COLLOCATION METHOD 518529 2% 73% 35 Search STOCHASTIC+COLLOCATION+METHOD Search STOCHASTIC+COLLOCATION+METHOD
8 KARHUNEN LOEVE EXPANSION 416474 5% 25% 81 Search KARHUNEN+LOEVE+EXPANSION Search KARHUNEN+LOEVE+EXPANSION
9 STOCHASTIC FINITE ELEMENTS 377118 3% 39% 47 Search STOCHASTIC+FINITE+ELEMENTS Search STOCHASTIC+FINITE+ELEMENTS
10 SPARSE GRIDS 370235 3% 34% 54 Search SPARSE+GRIDS Search SPARSE+GRIDS

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 9607 STOCHASTIC FINITE ELEMENT METHOD//PROBABILITY DENSITY EVOLUTION METHOD//VARIABILITY RESPONSE FUNCTIONS
2 36252 GENERALIZED GREENS FUNCTION//OPERATOR DECOMPOSITION//INDIVIDUAL TIME STEPS
3 24132 UNIV MATEMAT MULTIDISCIPLINAR//FIRST PROBABILITY DENSITY FUNCTION//RANDOM DIFFERENTIAL EQUATIONS
4 9232 GLOBAL SENSITIVITY ANALYSIS//HIGH DIMENSIONAL MODEL REPRESENTATION//WASTE ISOLATION PILOT PLANT
5 9481 QUASI MONTE CARLO METHODS//QUASI MONTE CARLO//JOURNAL OF COMPLEXITY
6 4938 PROPER ORTHOGONAL DECOMPOSITION//REDUCED BASIS METHOD//REDUCED ORDER MODEL
7 10751 CONVEX MODEL//UNCERTAIN BUT BOUNDED PARAMETERS//INTERVAL ANALYSIS
8 10952 UPSCALING//MULTISCALE FINITE ELEMENT METHOD//MULTISCALE METHODS
9 5734 COMPUTER EXPERIMENTS//LATIN HYPERCUBE DESIGN//SPACE FILLING DESIGN
10 20179 CUBATURE//APPROXIMATE FEKETE POINTS//LEBESGUE CONSTANT

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