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The gridded PRISM datasets were overlaid with county boundaries to compute mean temperature and precipitation values for each county (e.g., Figure 2a b).
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We ensure the Dirichlet boundary condition by a particle mirroring technique at the open boundary to compute the pressure field.
We find explicit solutions for several cases of this problem, which, in particular, enables us to give explicit formulae for the heat flux at the boundary and to compute its asymptotic temporal behavior.
We proposed an iterative Monte-Carlo method with boundary adaptation, to compute the sensitivity of the absorption efficiency of nanoparticles.
We additionally apply a boundary element method to compute the stray electric fields outside the ferroelectric free surface.
In this contribution we discuss a novel Boundary Perturbation approach to compute these operators in a rapid, high-order, and robust fashion.
More precisely, here we develop a three-dimensional numerical model, based on boundary element methods, to compute the dynamic permeability over a wide range of such media.
New techniques allow for more efficient boundary integral algorithms to compute the Dirichlet Neumann map for Laplace's equation in two-dimensional exterior domains.
First, the trajectories given by this simplified model compare favorably to trajectories obtained using a complete model based on a boundary element method to compute the Stokes flow in the domain in the presence of the particle at each time step.
Following spatial registration of the follow up scan to the baseline scan, intensity differences between the two scans at the brain-CSF boundary were used to compute change in volume.
This implementation uses expansions in plane wave solutions to compute boundary conditions and the additive boundary layer correction, and a finite element method to solve the diffusion equation.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com