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Depending on only one testing method for ideal surface analysis, characterization, and comparison is not possible.

This paper extends the gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics (MHD) equations (K. Xu, 1999, J. Comput. Phys.153, 334) to multidimensional cases.

We conduct long-time simulations with a Hamiltonian particle-mesh method for ideal fluid flow, to determine the statistical mean vorticity field of the discretization.

Designs obtained with this new method for ideal, non-ideal, and azeotropic mixtures give purity and recovery rates close to the specifications, which might be impossible to obtain with a conventional ideal shortcut like the well-known Fenske–Underwood Gilliland shortcut method.

We present a single step, second-order accurate Godunov scheme for ideal MHD which is an extension of the method described in [T.A. Gardiner, J.M. Stone, An unsplit godunov method for ideal MHD via constrained transport, J. Comput. Phys. 205 (2005) 509] to three dimensions.

Here, the 3D modeling of residues predicted to be in transmembrane β-strands is based on the geometric optimization method for ideal barrels as previously described (Chou et al., 1990; Murzin et al., 1994a; b).

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In this paper, we propose and numerically investigate a family of locally divergence-free central discontinuous Galerkin methods for ideal magnetohydrodynamic (MHD) equations.

Li, L. Xu, S. Yakovlev, Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field, Journal of Computational Physics 230 (2011) 4828 4847], second and third order exactly divergence-free central discontinuous Galerkin methods were proposed for ideal MHD equations.

We propose a high-order finite difference weighted ENO (WENO) method for the ideal magnetohydrodynamics (MHD) equations.

The results of the method are valid for ideal and non-ideal systems of any number of components.

Existing cultivation methods for producing ideal plants, such as field trials and crop modeling, have some limits.

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