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The main differences from common computational methods are formulated.
The proposed methods are formulated for the BGK equation with constant or spatially variant Knudsen number.
Several conclusions concerning the implementation of the presented methods are formulated on the basis of the results of three examples.
Analytical performance models of the four methods are formulated and presented followed by evaluations of these models with modern multi-core systems' operation latencies.
The local stress strain approximation methods were formulated incrementally to get the notch tip stress strain of the non-Masing material.
The methods are formulated in a central finite volume framework on staggered meshes, and they involve Hermite WENO (HWENO) reconstructions in space, and Lax Wendroff type discretizations or the natural continuous extension of Runge Kutta methods in time.
Quadratic spline collocation methods are formulated for the numerical solution of the Helmholtz equation in the unit square subject to non-homogeneous Dirichlet, Neumann and mixed boundary conditions, and also periodic boundary conditions.
Although both methods are formulated as single QTL models, they are often applied for constructing scan statistics to decide whether a QTL exists at a particular location, even though more than one QTL may exist (Wright and Kong, 1997).
Although the proposed methods are formulated in a Bayesian framework, an advantage is their implementation without time-consuming Monte Carlo simulation and their ability to deal with both large numbers of tested SNPs and pathways.
All representations of the hierarchy are rotationally invariant and the numerical method is formulated on fully unstructured triangular and quadrilateral meshes using a implicit discontinuous Galerkin formulation.
This design method is formulated as a linear programming problem.
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