Sentence examples for a split operator from inspiring English sources

This paper proposes a split operator method to reconstruct fluorescence images fast and efficiently, using anisotropic diffusion regularisation and anatomical prior information obtained from another medical imaging modality.

In order to overcome this issue and aiming at having fast runtime performance, a split operator algorithm is introduced in this paper.

We introduce a split operator method that reduces the nonlinear inverse problem to two simpler problems, allowing fast and efficient solution of the fDOT problem.

□ First, let us consider a single time step of the implicit scheme S τ, i.e.  u 1 = S τ u 0, which can be written as (note that u 0 is not to be confused with the initial value; it is the exact solution at a point in time to which a splitting operator is applied) u 1 = e τ 2 A ∘ φ τ 2 b (u 1 ) ∘ φ τ 2 b (u 0 ) ∘ e τ 2 A (u 0 ).

In this work, the opposite path is taken: it is shown that specific discretizations of the Dirac equation, using either a split-operator approach or the lattice Boltzmann technique, naturally lead to a QW formulation.

We propose a real space split operator method for the solution of the time-dependent Klein Gordon equation with arbitrary electromagnetic fields.

A simpler way to infer this split operator method is by considering Eq. (23) as the update Δ h k of the gradient descent method.

We carry out a stability analysis for the real space split operator method for the propagation of the time-dependent Klein Gordon equation that has been proposed in Ruf et al. [M. Ruf, H. Bauke, C.H. Keitel, A real space split operator method for the Klein Gordon equation, Journal of Computational Physics 228 (2009(2009092 9106106, doi 10.1016/j.jcp.2009.09.012].jcp.2009.09.012]

For instance, the Split operator transforms.

In Section 3, the split operator method for the Dirac equation is presented, along with its exact correspondence with QW.

Finally, to design a time splitting operator strategy respecting both reactive two-phase flow physics and cost/accuracy ratio required for industrial computations.