Sentence examples for boundary of the problem from inspiring English sources
The boundary of the problem represents the whole computational domain.
For this purpose, the domain boundary of the problem is discretized by specific subparametric elements, in which higher-order Chebyshev mapping functions as well as special shape functions are used.
Specifically, the method utilizes the concept of representing equipotential surfaces by polynomials for the rapid tracing of these surfaces; and is, therefore, fundamentally different from previously known techniques which are based on discretizing the domain or the boundary of the problem.
A point-wise convergence of the expansion series representing the solution seems to be verified with the only exception of a set of measure zero consisting of the quasi-cusped points along the boundary of the problem domain.
Thus, a boundary-valued problem with a domain (varOmega in Re^{d}) and a linear elliptic partial differential equation can be written as follows: begin{aligned} & {text{Lu}}(x) = s(x quad {text{in }}varOmega & {text{Bu}}(x)_{delta varOmega } = s(x quad {text{on }}delta varOmega, end{aligned} (29 where δΩ represents the boundary of the problem.
But 'omics' data can provide information on the size and composition of biological entities and thus determine the boundaries of the problem at hand.
From the transcripts, it was apparent that students commenced with problem scoping where they frequently added familiar contexts (e.g., observing jet planes) to help them understand the boundaries of the problem and clarify its goal.
Approximation of the boundary conditions of the problem is very straightforward and natural.
Forward and backward discretisations of the distributed model are employed to take advantage of the boundary conditions of the problem.
Definition of the boundary conditions of the problem leads to the solution of the eigenvalue problem and consequently to the critical buckling load.
