The phrase "as a discrete solution" is correct and usable in written English.
It can be used in contexts where you are discussing a specific, separate, or distinct solution to a problem or equation.
Example: "In this analysis, we will consider the results obtained as a discrete solution to the complex equation presented."
Alternatives: "as a distinct solution" or "as an individual solution".
or equivalently, Using the augmented Lagrangian multipliers method, we find a discrete solution of (1) as follows.
The converGreen and accuracy ofunctionmerical sofutions for the naturectangularcy plateeter calculated by the proposed method are investigated, and the frequency parameters and their modes of free vibration are showithor some rectarbitrarylates.
The characteristic equation for free vibration can be derived by applying the Green function, which is obtained as a discrete type solution of differential equations governing the flexural behaviour of the curved beam under the action of a concentrated load.
We find that as ε→0 the discrete solution satisfies a robust discretized version of the correct equilibrium diffusion equation, with boundary conditions and initial conditions that are remarkably accurate.
Moreover, we deduce an existence and uniqueness result as well as a priori bounds for the discrete solution, which are an essential ingredient in the convergence analysis.
In Sects. 4 and 5, we introduce a general analytical framework of nonlinear evolutionary variational inequalities and its fully discrete counterpart; in particular, we deduce a result on the existence and uniqueness of the fully discrete solution as well as a priori bounds for the discrete approximation values.
A key component of our method is a formulation of the discrete submodular minimization problem as a continuous best approximation problem that is solved through a sequence of reflections, and its solution can be easily thresholded to obtain an optimal discrete solution.
Given a right-hand side f ∈ H − 1 / 2, an initial partition T h of Γ, and some adaptivity parameter 0 < θ < 1, the proposed adaptive algorithm reads as follows: (i) Compute discrete solution u h ∈ S 0 1 (T h ).
The portfolio consists of a large variety of catalog products, using widely-known production techniques, with characteristics that are largely standardized throughout the industry as well as leading discrete solutions especially in the field of ESD protection / EMI filtering and low loss rectification and power switching.
Both continua are asymptotically equivalent as the characteristic length of the discrete system tends to zero, while providing an upper and a lower bound of the discrete solution.
