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The generating system is based on solution of a system of partial differential equations with finite difference discretization.

The numerical method is based on solution of the linearized Euler equations directly in the frequency domain, employing a direct, sparse matrix solver in parallel.

Formulation is based on solution of a two-point boundary value problem (BVP) governed by a set of linear first-order ordinary differential equations (ODEs) through the thickness of a laminate.

Experimental results are compared with predictions of a chemical mechanism developed by Mendiara and Glarborg (2009), with simulations based on solution of energy equation as well as on experimental temperature profiles as input.

The 1-dimensional model is based on solution of the transient mass transport equation for Cu II) utilizing the well-known series solution by von Karman and Cochran for the fluid velocity.

Resolution properties of B-spline and compact finite difference schemes are compared using Fourier analysis in periodic domains, and tests based on solution of the wave and heat equations in finite domains, with uniform and nonuniform grids.

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The energy dependent dot evolution is evaluated based on solutions of the isotropic Kuramoto-Sivashinsky equation.

The model is based on solutions of the density-weighted forms of the fluid flow equations.

The permeability was estimated using the GeoDict software, based on solutions of the Stokes equation.

The results for the tropospheric delays and the sub-diurnal station position variations are based on solutions of the continuous VLBI campaigns CONT08 and CONT14, respectively.

For the distributed parameter part of this system, we construct a family of Galerkin approximations based on solutions of the homogeneous Timoshenko beam equation.

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