Sentence examples for method and gave from inspiring English sources

Cheng et al. in [20] solved the identification of an unknown source term in radial heat conduction by a spectral method and gave a logarithmic-type error estimate.

Wu [13] extended the result of [11, 12] in the case of (h u_{t} ) =- Delta u _{t}) or (u_{t}) by the energy method and gave some estimates for the life span of solutions.

In [3], they treated the nondissipative ( ν = 0 ) 2D case and obtained the local existence and uniqueness in the Hölder space C δ for 0 < δ < 1 by the particle-trajectory method and gave some blowup criteria of smooth solutions.

Very recently, the system (IPM) was introduced and investigated by Córdoba et al. In [2], they treated the (IMP) in 2D case and obtained the local existence and uniqueness in Hölder space C δ for 0 < δ < 1 by the particle-trajectory method and gave some blow-up criteria of smooth solutions.

After the validation and evaluation with bulk and dosage forms, the downsized method showed good accuracy comparable to the British Pharmacopeial macroscale method and gave satisfactory precision (intra-day, inter-day, inter-analyst and inter-equipment) with the relative standard deviation of less than 0.5%.

Kang and Kurtz [ 9] extended this multiscale approximation method and gave a systematic way to obtain limiting models in the time scales of interest.

The first one is based on Galerkin method, and gives a priori estimate.

Section 3 presents the proposed super-resolution method and gives its implementation details.

Thus, this paper primarily sketches out the method and gives first examples how to use it.

The paper describes the method and gives examples of its application for some existing r.c.

In this section, we briefly describe the segmentation method and give some details about normalization and image enhancement modules.