Discrete second order adjoints in atmospheric chemical transport modeling

Discrete second order adjoints in atmospheric chemical transport modeling

Second-order adjoints for solving PDE-constrained optimization problems

Inverse problems are of utmost importance in many fields of science and engineering. In the variational approach inverse problems are formulated as PDE-constrained optimization problems, where the optimal estimate of the uncertain parameters is the minimizer of a certain cost functional subject to the constraints posed by the model equations. The numerical solution of such optimization problems...

Automatic First- and Second-Order Adjoints for Truncated Newton

The analysis and modification of numerical programs in the context of generating and optimizing adjoint code automatically probably ranges among the technically and theoretically most challenging source transformation problems known today. A complete compiler for the target language (Fortran in our case) is needed to cover the technical side. This amounts to a mathematically motivated semantic ...

Modeling Second-order Volumetric Features

Model creation using SMS's volumetric primitives revealed that many models lacked the highly salient visual details representable using the surface and space curve primitives, although the first-order mass distribution of the features was well characterized. This paper introduces eight second-order volumetric features that add detail to models, as might be required in a recognition scheme that ...

Generalized second-order parametric optimality conditions in semiinfinite discrete minmax fractional programming and second order (F

This paper deals with mainly establishing numerous sets of generalized second-order parametric sufficient optimality conditions for a semiinfinite discrete minmax fractional programming problem, while the results on semiinfinite discrete minmax fractional programming problem are achieved based on some partitioning schemes under various types of generalized second-order (F ,β, φ, ρ, θ, m)-univex...