001463382 000__ 05589cam\a2200613\i\4500
001463382 001__ 1463382
001463382 003__ OCoLC
001463382 005__ 20230601003318.0
001463382 006__ m\\\\\o\\d\\\\\\\\
001463382 007__ cr\cn\nnnunnun
001463382 008__ 230421s2023\\\\sz\a\\\\ob\\\\001\0\eng\d
001463382 019__ $$a1376188452
001463382 020__ $$a9783031227578$$qelectronic book
001463382 020__ $$a3031227573$$qelectronic book
001463382 020__ $$z9783031227561
001463382 020__ $$z3031227565
001463382 0247_ $$a10.1007/978-3-031-22757-8$$2doi
001463382 035__ $$aSP(OCoLC)1376802212
001463382 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dUKAHL$$dYDX
001463382 049__ $$aISEA
001463382 050_4 $$aQA402.3$$b.C34 2023
001463382 08204 $$a515/.642$$223/eng/20230421
001463382 1001_ $$aCacuci, Dan Gabriel,$$eauthor.$$1https://isni.org/isni/0000000116707826
001463382 24514 $$aThe nth-order comprehensive adjoint sensitivity analysis methodology.$$nVolume III,$$pOvercoming the curse of dimensionality :$$bnonlinear systems /$$cDan Gabriel Cacuci.
001463382 24630 $$aOvercoming the curse of dimensionality :$$bnonlinear systems
001463382 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2023]
001463382 300__ $$a1 online resource (xii, 369 pages) :$$billustrations
001463382 336__ $$atext$$btxt$$2rdacontent
001463382 337__ $$acomputer$$bc$$2rdamedia
001463382 338__ $$aonline resource$$bcr$$2rdacarrier
001463382 504__ $$aIncludes bibliographical references and index.
001463382 5050_ $$aPart A: Function-Valued Responses. Chapter 1: The First- and Second-Order Comprehensive Adjoint Sensitivity Analysis Methodologies for Nonlinear Systems with Function-Valued Responses -- Chapter 2: The Third-Order Comprehensive Adjoint Sensitivity Analysis Methodology (C-ASAM-3) for Nonlinear Systems with Function-Valued Responses -- Chapter 3: The Fourth-Order Comprehensive Adjoint Sensitivity Analysis Methodology (C-ASAM-4) for Nonlinear Systems with Function-Valued Responses -- Chapter 4: The Nth-Order Adjoint Sensitivity Analysis Methodology (C-ASAM-N) for Nonlinear Systems with Function-Valued Responses -- Part B: Scalar-Valued Responses -- Part B: Scalar-Valued Responses -- Chapter 5: The Fourth-Order Comprehensive Adjoint Sensitivity Analysis Methodology (C-ASAM-4) for Nonlinear Systems with Scalar-Valued Responses -- Chapter 6: The Nth-Order Adjoint Sensitivity Analysis Methodology (C-ASAM-N) for Nonlinear Systems with Scalar-Valued Responses -- Chapter 7: Applications of C-ASAM to Uncertainty Analysis.
001463382 506__ $$aAccess limited to authorized users.
001463382 520__ $$aThis text describes a comprehensive adjoint sensitivity analysis methodology (C-ASAM), developed by the author, enabling the efficient and exact computation of arbitrarily high-order functional derivatives of model responses to model parameters in large-scale systems. The models responses can be either scalar-valued functionals of the models parameters and state variables (as customarily encountered, e.g., in optimization problems) or general function-valued responses, which are often of interest but are currently not amenable to efficient sensitivity analysis. The C-ASAM framework is set in linearly increasing Hilbert spaces, each of state-function-dimensionality, as opposed to exponentially increasing parameter-dimensional spaces, thereby breaking the so-called curse of dimensionality in sensitivity and uncertainty analysis. The C-ASAM applies to any model; the larger the number of model parameters, the more efficient the C-ASAM becomes for computing arbitrarily high-order response sensitivities. The text includes illustrative paradigm problems which are fully worked-out to enable the thorough understanding of the C-ASAMs principles and their practical application. The book will be helpful to those working in the fields of sensitivity analysis, uncertainty quantification, model validation, optimization, data assimilation, model calibration, sensor fusion, reduced-order modelling, inverse problems and predictive modelling. It serves as a textbook or as supplementary reading for graduate course on these topics, in academic departments in the natural, biological, and physical sciences and engineering. This Volume Three, the third of three, covers systems that are nonlinear in the state variables, model parameters and associated responses. The selected illustrative paradigm problems share these general characteristics. A separate Volume One covers systems that are linear in the state variables.
001463382 588__ $$aDescription based on online resource; title from digital title page (viewed on May 25, 2023).
001463382 650_0 $$aSensitivity theory (Mathematics)
001463382 650_0 $$aLarge scale systems.
001463382 650_0 $$aNonlinear systems.
001463382 655_0 $$aElectronic books.
001463382 77608 $$iPrint version:$$aCacuci, Dan Gabriel.$$tNth-order comprehensive adjoint sensitivity analysis methodology. Volume III, Overcoming the curse of dimensionality.$$dCham : Springer, 2023$$z9783031227561$$w(OCoLC)1368273916
001463382 852__ $$bebk
001463382 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-22757-8$$zOnline Access$$91397441.1
001463382 909CO $$ooai:library.usi.edu:1463382$$pGLOBAL_SET
001463382 980__ $$aBIB
001463382 980__ $$aEBOOK
001463382 982__ $$aEbook
001463382 983__ $$aOnline
001463382 994__ $$a92$$bISE