001463624 000__ 05444cam\a2200625\i\4500
001463624 001__ 1463624
001463624 003__ OCoLC
001463624 005__ 20230601003329.0
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001463624 008__ 230502s2023\\\\sz\a\\\\ob\\\\001\0\eng\d
001463624 019__ $$a1377820033
001463624 020__ $$a9783031196355$$qelectronic book
001463624 020__ $$a303119635X$$qelectronic book
001463624 020__ $$z9783031196348
001463624 020__ $$z3031196341
001463624 0247_ $$a10.1007/978-3-031-19635-5$$2doi
001463624 035__ $$aSP(OCoLC)1378011147
001463624 040__ $$aYDX$$beng$$erda$$cYDX$$dEBLCP$$dGW5XE$$dSFB$$dYDX
001463624 049__ $$aISEA
001463624 050_4 $$aQA402.3$$b.C33 2023
001463624 08204 $$a003/.5$$223/eng/20230505
001463624 1001_ $$aCacuci, Dan Gabriel,$$eauthor.
001463624 24514 $$aThe nth-order comprehensive adjoint sensitivity analysis methodology.$$nVolume II,$$pOvercoming the curse of dimensionality : large-scale application /$$cDan Gabriel Cacuci, Ruixian Fang.
001463624 24630 $$aOvercoming the curse of dimensionality : large-scale application
001463624 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2023]
001463624 300__ $$a1 online resource (xvii, 463 pages) :$$billustrations
001463624 336__ $$atext$$btxt$$2rdacontent
001463624 337__ $$acomputer$$bc$$2rdamedia
001463624 338__ $$aonline resource$$bcr$$2rdacarrier
001463624 504__ $$aIncludes bibliographical references and index.
001463624 5050_ $$aChapter1. 1st-Order Sensitivity Analysis of the OECD/NEA PERP Reactor Physics Benchmark -- Chapter2. 2nd-Order Sensitivities of the PERP Benchmark to the Microscopic Total and Capture Cross Sections -- Chapter3. 2nd-Order Sensitivities of the PERP Benchmark to the Microscopic Scattering Cross Sections -- Chapter4. 2nd-Order Sensitivities of the PERP Benchmark to the Microscopic Fission Cross Sections -- Chapter5. 2nd-Order Sensitivities of the PERP Benchmark to the Average Number of Neutrons per Fission -- Chapter6. 2nd-Order Sensitivities of the PERP Benchmark to the Spontaneous Fission Source Parameters -- Chapter7. 2nd-Order Sensitivities of the PERP Benchmark to the Isotopic Number Densities -- Chapter8. 3rd-Order Sensitivities of the PERP Benchmark -- Chapter9. 4th-Order Sensitivities of the PERP Benchmark -- Chapter10. Overall Impact of 1st-, 2nd-, 3rd-, and 4th-Order Sensitivities on the PERP Benchmark's Response Uncertainties.
001463624 506__ $$aAccess limited to authorized users.
001463624 520__ $$aThis text describes a comprehensive adjoint sensitivity analysis methodology (C-ASAM), developed by the author, enabling the efficient and exact computation of arbitrarily high-order functional derivatives of model responses to model parameters in large-scale systems. The C-ASAM framework is set in linearly increasing Hilbert spaces, each of state-function-dimensionality, as opposed to exponentially increasing parameter-dimensional spaces, thereby breaking the so-called curse of dimensionality in sensitivity and uncertainty analysis. The C-ASAM applies to any model; the larger the number of model parameters, the more efficient the C-ASAM becomes for computing arbitrarily high-order response sensitivities. The book will be helpful to those working in the fields of sensitivity analysis, uncertainty quantification, model validation, optimization, data assimilation, model calibration, sensor fusion, reduced-order modelling, inverse problems and predictive modelling. This Volume Two, the second of three, presents the large-scale application of C-ASAM to compute exactly the first-, second-, third-, and fourth-order sensitivities of the Polyethylene-Reflected Plutonium (PERP) OECD/NEO international benchmark which is modeled mathematically by the Boltzmann particle transport equation. It follows from the description of the C-ASAM framework applied to linear systems in Volume One where the PERP benchmark's response of interest is the leakage of particles through its outer boundary. The benchmark represents the largest sensitivity analysis endeavor ever carried out in the field of reactor physics and the numerical results shown in this book prove, for the first time ever, that many of the second-order sensitivities are much larger than the corresponding first-order ones. Currently, the nth-CASAM is the only known methodology which enables such large-scale computations of the exact expressions and values of the nth-order response sensitivities.
001463624 588__ $$aDescription based on online resource; title from digital title page (viewed on May 25, 2023).
001463624 650_0 $$aSensitivity theory (Mathematics)
001463624 650_0 $$aLarge scale systems.
001463624 650_0 $$aLinear systems.
001463624 655_0 $$aElectronic books.
001463624 7001_ $$aFang, Ruixian$$c(Mechanical engineer),$$eauthor.
001463624 77608 $$iPrint version: $$z3031196341$$z9783031196348$$w(OCoLC)1346153406
001463624 852__ $$bebk
001463624 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-19635-5$$zOnline Access$$91397441.1
001463624 909CO $$ooai:library.usi.edu:1463624$$pGLOBAL_SET
001463624 980__ $$aBIB
001463624 980__ $$aEBOOK
001463624 982__ $$aEbook
001463624 983__ $$aOnline
001463624 994__ $$a92$$bISE