Motivation for computing first- and second-order sensitivities of system responses to the system -- Illustrative application of the 2nd-ASAM to a linear evolution problem -- The 2nd-ASAM for linear systems -- Application of the 2nd-ASAM to a linear heat conduction and convection benchmark problem -- Application of the 2nd-ASAM to a linear particle diffusion problem -- Application of the 2nd-ASAM for computing sensitivities of detector responses to uncollided radiation transport -- The 2nd-ASAM for nonlinear systems -- Application of the 2nd-ASAM to a nonlinear heat conduction problem.
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"The author has achieved the breakthrough of generalizing the First-Order Theory presented in his previous books, to the efficient computations of arbitrarily high-order sensitivities for nonlinear systems (HONASAP). This breakthrough has many applications, especially when there is a need to quantify nonlinear behavior or to quantify uncertainties in design parameter/system responses in large-scale systems. This book presents the theory of the HONASAP with applications, from simple, analytically solvable, paradigm problems to large-scale applications in thermal hydraulics, particle transport, etc."--Provided by publisher.