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A highly accurate difference schemes are proposed and investigated under the conditions imposed on the given boundary values to approximate the solution of the 3D Laplace equation and its first and pure second derivatives on a cubic grid.
A second-order accurate difference scheme is developed to study cavitation in unsteady, one-dimensional, inviscid, compressible flows of water with gas.
By using the weighted and shifted Grünwald Letnikov (WSGL) formula to approximate the nonlocal fractional operators, we design a series of second order accurate difference schemes for the considered models.
The level set dislocation dynamics method was implemented using an accurate finite difference scheme on a uniform grid.
The innovative key points behind the developed framework are: (i) to perform a nonstationary wavelet multiresolution analysis on the acquired signals; (ii) to design a proper scaling wavelet through the frequency warping operator; (iii) application of the frequency warped wavelet multiresolution on the cross-correlated signal to achieve an accurate time difference of arrival (TDOA) estimation.
We introduce a class of fully discrete in space and time, high order accurate, difference schemes, called generalized monotone schemes.
The recently developed Flexible Local Approximation MEthod (FLAME) produces accurate difference schemes by replacing the usual Taylor expansion with Trefftz functions – local solutions of the underlying differential equation.
The method relies on high-order accurate difference schemes using the Summation-By-Parts operators with weak boundary and interface conditions applied to the Hodgkin–Huxley equations.
Since phase information can be directly obtained from images of the mutant, we used this in the present work to obtain more accurate difference maps.
It provides accurate difference of venom peptides between Lychas mucronatus from Hainan and Yunnan.
By considering a representative example problem, it is demonstrated that a Godunov-projection method performs as well as an accurate centered finite difference method in cases where the smallest flow scales are well resolved.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com