Sentence examples for regular approximation from inspiring English sources
In the study of regular approximation problems, the related induced regular self-adjoint extensions should be extended to the whole interval referred for the singular problems.
Thus, such effects on the electronic energy were introduced from zero-order regular approximation (ZORA).
This paper is concerned with regular approximations of isolated eigenvalues of singular second-order symmetric linear difference equations.
In Section 3, regular approximations of isolated eigenvalues of equation (1.1) are studied in the case that each endpoints is either regular or in l.c.c.
Therefore, it is better for us to uniformly apply the theory of subspaces to study regular approximations in all the cases in the present paper.
It will play an important role in the study of regular approximations in the case that at least one endpoint is in l.p.c.
Applying the results given in [12, 21], we studied regular approximations of spectra of singular second-order symmetric linear difference equations [22].
In this section, we study regular approximations of isolated eigenvalues of (1.1) in Cases 1 and 3. Without loss of generality, we only consider the case that (mathcal{L}) is regular or in l.c.c. at a and l.c.c. at (t=+infty).
Regular approximations of spectra of singular differential equations have been investigated widely and deeply, and some good results have been obtained, including spectral inclusion in general cases and spectral exactness in the case that each endpoint is either regular or in the limit circle case (briefly, l.c.c).
In particular, the case of a real 28 BHE field, irregularly shaped and related to a building located in Northern Italy, has been studied together with its 7-by-4 regular grid approximation and a series of 28 BHE fields having different shapes.
The development objectives are such that the finite difference schemes are non-dissipative and compatible with regular difference approximations for convection dominated phenomena.
