and therefore Lemma 2.10 is applicable to the solutions.
Exactly how applicable the Peregrine solution is remains to be determined.
The finite element method is applicable for the solution of all three categories of problems.
The formulation copes with the diffusion equation, applicable in the solution of a broad spectrum of scientific and engineering problems.
This effort leads the proposed global optimization scheme directly applicable to the solution of dynamic optimization problems and makes the solution procedure quite easy.
While the new formulation is applicable to the solution of general partial differential equations, demonstrations are presented in the context of Large Eddy Simulation closures for the Burgers equation, decaying homogeneous turbulence, and turbulent channel flow.
Such methods are applicable to the solution of nonstationary flow problems that contain moving regions of rapid change in the flow variables, surrounded by regions of relatively smooth variation.
"What kid who's interested in science hasn't made one of these?" Maddocks wonders why it took researchers so long to tackle the problem with the appropriate tool, but adds that 18 years between the invention of the applicable theory and the solution is a blink of an eye "in mathematical time".
The grid method (or finite-difference method) is an effective and widely applicable method for the solution of boundary value problems for elliptic equations with real coefficients (see, for example, [9]).
The proposed approach is applicable independently of the solution strategy used to solve the incompressible Navier Stokes equations, i.e., it can be used for both projection-type solution methods as well as monolithic solution approaches.
