000 04795cam a2200577 a 4500
001 on1144803762
003 OCoLC
005 20230516165843.0
006 m o d
007 cr |n|||||||||
008 200317s2020 enka ob 001 0 eng d
040 _aYDX
_beng
_epn
_cYDX
_dOPELS
_dUKAHL
_dOCLCF
_dUKMGB
_dEBLCP
_dMYG
_dOCLCO
_dOCLCQ
_dOCLCO
_dK6U
_dOCLCQ
015 _aGBC031043
_2bnb
016 7 _a019726155
_2Uk
019 _a1145546335
020 _a9780081029428
_q(electronic bk.)
020 _a008102942X
_q(electronic bk.)
020 _z9780081029411
020 _z0081029411
035 _a(OCoLC)1144803762
_z(OCoLC)1145546335
050 4 _aTA404.23
_bU53 2020
082 0 4 _a620.1/1
_223
245 0 0 _aUncertainty quantification in multiscale materials modeling /
_cedited by Yan Wang and David L. McDowell.
264 1 _aCambridge :
_bWoodhead Publishing,
_c2020
264 4 _c�2020
300 _a1 online resource (xviii, 586 pages) :
_billustrations
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aElsevier series in mechanics of advanced materials
504 _aIncludes bibliographical references and index.
505 0 _aFront Cover -- Uncertainty Quantification in Multiscale Materials Modeling -- Mechanics of Advanced Materials Series -- Series editor-in-chief: Vadim V. Silberschmidt -- Series editor: Thomas B�ohlke -- Series editor: David L. McDowell -- Series editor: Zhong Chen -- Uncertainty Quantification in Multiscale Materials Modeling -- Copyright -- Contents -- Contributors -- About the Series editors -- Editor-in-Chief -- Series editors -- Preface -- 1 -- Uncertainty quantification in materials modeling -- 1.1 Materials design and modeling -- 1.2 Sources of uncertainty in multiscale materials modeling
505 8 _a1.2.1 Sources of epistemic uncertainty in modeling and simulation -- 1.2.2 Sources of model form and parameter uncertainties in multiscale models -- 1.2.2.1 Models at different length and time scales -- 1.2.3 Linking models across scales -- 1.3 Uncertainty quantification methods -- 1.3.1 Monte Carlo simulation -- 1.3.2 Global sensitivity analysis -- 1.3.3 Surrogate modeling -- 1.3.4 Gaussian process regression -- 1.3.5 Bayesian model calibration and validation -- 1.3.6 Polynomial chaos expansion -- 1.3.7 Stochastic collocation and sparse grid -- 1.3.8 Local sensitivity analysis with perturbation
505 8 _a1.3.9 Polynomial chaos for stochastic Galerkin -- 1.3.10 Nonprobabilistic approaches -- 1.4 UQ in materials modeling -- 1.4.1 UQ for ab initio and DFT calculations -- 1.4.2 UQ for MD simulation -- 1.4.3 UQ for meso- and macroscale materials modeling -- 1.4.4 UQ for multiscale modeling -- 1.4.5 UQ in materials design -- 1.5 Concluding remarks -- Acknowledgments -- References -- 2 -- The uncertainty pyramid for electronic-structure methods -- 2.1 Introduction -- 2.2 Density-functional theory -- 2.2.1 The Kohn-Sham formalism -- 2.2.2 Computational recipes -- 2.3 The DFT uncertainty pyramid
505 8 _a2.3.1 Numerical errors -- 2.3.2 Level-of-theory errors -- 2.3.3 Representation errors -- 2.4 DFT uncertainty quantification -- 2.4.1 Regression analysis -- 2.4.2 Representative error measures -- 2.5 Two case studies -- 2.5.1 Case 1: DFT precision for elemental equations of state -- 2.5.2 Case 2: DFT precision and accuracy for the ductility of a W-Re alloy -- 2.6 Discussion and conclusion -- Acknowledgment -- References -- 3 -- Bayesian error estimation in density functional theory -- 3.1 Introduction -- 3.2 Construction of the functional ensemble -- 3.3 Selected applications -- 3.4 Conclusion
650 0 _aMaterials
_xMathematical models.
_93268
650 0 _aUncertainty (Information theory)
_98835
650 0 _aMultiscale modeling.
_93979
650 6 _aMat�eriaux
_0(CaQQLa)201-0025866
_xMod�eles math�ematiques.
_0(CaQQLa)201-0379082
_968623
650 6 _aIncertitude (Th�eorie de l'information)
_0(CaQQLa)201-0003328
_968624
650 6 _aAnalyse multi�echelle.
_0(CaQQLa)000265314
_968625
650 7 _aMaterials
_xMathematical models.
_2fast
_0(OCoLC)fst01011852
_93268
650 7 _aMultiscale modeling.
_2fast
_0(OCoLC)fst01763130
_93979
650 7 _aUncertainty (Information theory)
_2fast
_0(OCoLC)fst01160838
_98835
700 1 _aWang, Yan,
_eeditor.
_968626
700 1 _aMcDowell, David L.,
_d1956-
_eeditor.
_968627
776 0 8 _iPrint version:
_tUncertainty quantification in multiscale materials modeling.
_dCambridge : Woodhead Publishing, 2020
_z0081029411
_z9780081029411
_w(OCoLC)1119640371
830 0 _aElsevier series in mechanics of advanced materials.
_968628
856 4 0 _3ScienceDirect
_uhttps://www.sciencedirect.com/science/book/9780081029411
942 _cEBK
999 _c82413
_d82413