Second-order adjoint sensitivity analysis methodology (2nd-asam) for large-scale nonlinear systems: I. Theory

Abstract

This work presents the Second-Order Sensitivity Analysis Methodology (2nd-ASAM) for nonlinear systems. This methodology yields exactly and efficiently the second-order functional derivatives of system responses (associated with physical, engineering, biological, etc., systems) to the system's model parameters.

arXiv admin note: substantial text overlap with arXiv:1411.6157

References in corpus (1)

• Second-order adjoint sensitivity analysis procedure (SO-ASAP) for computing exactly and efficiently first- and second-order sensitivities in large-scale linear systems: I. Computational methodology

Cited by in corpus (1)

• Second-order adjoint sensitivity analysis methodology (2nd-asam) for large-scale nonlinear systems: II. Application to a nonlinear heat conduction benchmark