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(The linear conservation law).
It contains the nonlinear eikonal equation and a linear conservation law whose coefficient can be discontinuous.
The TVD conditions of this method are analyzed with the linear conservation law as the model equation.
We present a convergent high-order accurate scheme for the solution of linear conservation laws in geometrically complex domains.
In [14], Cheng and Shu study the superconvergence of the ((k+3/2))th order of the DG solution towards a particular projection for linear conservation laws.
For linear conservation laws and linear parabolic equations, Yang and Shu use a new technique to carry out the optimal order of the superconvergence [18, 19].
A boundary control law with integral actions is proposed for a generic class of two-by-two homogeneous systems of linear conservation laws.
In the following, we will show that the linear conservation laws of the form (5), will have an important role in the determination of steady states and in bifurcations associated with threshold effects.
But if there exist additional linearly independent linear conservation laws for the fast system, then let us introduce new variables: linear functions b(c),... b n (c), where b(c),... b m (c) is the basis of the linear conservation laws for the initial system, and b(c),... b m + l (c) is the basis of the linear conservation laws for the fast subsystem.
Synteny, the linear conservation of physically linked gene clusters within or between genomes, can be revelatory of paralogous or orthologous evolutionary relationships.
Most approaches to protein sequence similarity use models of sequence evolution and compare amino-acid strings, searching for linear conservation of sequence.
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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