most citedSecond-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

59 citations · 92 across the 4 of their papers we have counts for

collaborators

4 papers

math.OC2016

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

Dan Gabriel Cacuci

This work presents an illustrative application of the Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) developed by Cacuci (2015) to a paradigm nonlinear heat condu…

math.OC2016★ 11 cited

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

Dan Gabriel Cacuci

This work presents the Second-Order Sensitivity Analysis Methodology (2nd-ASAM) for nonlinear systems. This methodology yields exactly and efficiently the second-order functional d…

math-ph2014★ 22 cited

Second-order adjoint sensitivity analysis procedure (SO-ASAP) for computing exactly and efficiently first- and second-order sensitivities in large-scale linear systems:II. Illustrative application to a paradigm particle diffusion problem

Dan G. Cacuci

This work presents an illustrative application of the second-order adjoint sensitivity analysis procedure (SO-ASAP) to a paradigm neutron diffusion problem, which is sufficiently s…

math-ph2014★ 59 cited

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

Dan G. Cacuci

This work presents the second-order forward and adjoint sensitivity analysis procedures (SO-FSAP and SO-ASAP) for computing exactly and efficiently the second-order functional deri…