A Variational Adjoint Approach on Wide-Angle Parabolic Equation for Refractivity Inversion

8.3.24] A locally small abelian category A is called grothendieck if it admits a generator, small inductive limits, and the small filtered inductive limits are exact..

We propose a mixed approach that uses both operator overloading and source transformation to differentiate an input code that is largely written in C++ but whose

The developed approach combines the advantages of exact nonlocal boundary conditions for the wide-angle parabolic equation (WAPE) model with the con- cept of adjoint-based control,

It is no longer the case with the modified 3D-Var analysis (panel (b) in Fig. 4), as the structure function takes on the shape of the gradient field used as the sensitive

Proof. 8.3.24) The locally small abelian category A is called grothendieck if it admits a generator, small inductive limits, and the small filtered inductive limits are exact..

- Variational Formulations for semi-linear elliptic equations involving measures, Non-linear Variational Problems,. Murthy Editors, Pitman Research Notes in

Assuming the initial condition to be a density function, not necessar- ily smooth, but solely of bounded first moments and finite “entropy”, we use a variational scheme to

As for the semi discrete model, we do not expect to be able to solve the previous problem but rather a relaxed version of it, that is to find a fully discrete control such that