Coefficients C₃ of hyperfine levels of excited states|6²P_3/2 F> (F=2, 3, 4, 5) of ¹³³Cs atom are calculated with irreducible tensor method and van der Waals (vdW) interaction between alkali atoms and perfect surface of a metal. C₃ of|6²P_3/2F>(F=2, 3, 4, 5) we obtained are 4.3385 kHz·μm³, 4.3619 kHz·μm³, 4.3680 kHz·μm³, and 4.3467 kHz·μm³. Our data are compared with other theoretical data and experimental data. It shows that they are reliable.

A fluid model including two-temperature electrons was constructed for a collisionless plasma sheath. Effects of two-temperature electrons on sheath of stationary plasma were simulated. It is found that as temperature of cold electron is lower or density of cold electron at sheath adge is smaller critical ion Mach number decreases, sheath width becomes narrow and ion energy flow deposited on wall reduces. In addition, it is discussed that sheath thickness and ion energy flow deposited on wall are affected by cold electron in different plasma species.

A fluid model is developed in magnetized electronegative plasma sheath with two species of positive ions.It is shown that one-dimensional stationary plasma sheath is affected by ions-neutral collisions.The range of ion Mach numbers depends on density ratio of Ar⁺ to He⁺ and collision parameter. Collision efkct on charge density in the sheath is obvious as density of negative ions is small. Density of electron and negative ion decreases quickly.Two kinds of positive ion density present different fluctuations.Collision effect on ion velocitv distribution in the sheath is obvious as density of negative ions is great. In addition,collision paramcte affects density distribution of charge particles clearly as density ratio of two species of positive ions is great.

Newton-Raphson iteration is used in semi-classical model of carbon nanotube field effect transistors(CNTFET) based on ballistic transport for self-consistent potential.In each iteration re-integration of state density is requred.Support vector regression (SVR) is applied for the relationship of self-consistent potential and carrier density.Numerical integrations are avoided.And gradient descent algorithm (GDA) is used to get self-consistent potential.It shows that compared with Newton-Raphson iteration,the proposed method reduces computation effectively while maintains high accuracy.It lays theoretical foundation for designing and applying CNTFET devices in large scale integrated circuits.

In order to ensure conservative precision and monotonicity of a remapping algorithm and discontinuity with high resolution, a new kind of conservative RBF remapping algorithm is developed based on radial based function interpolation. Conservative precision is tested with a conservative error remapping algorithm. Numerical results are obtained for smooth and discontinuous functions. Compared with other remapping methods,the method gives good numerical results.

A self-adaptive precise algorithm in the time domain is presented for convective heat transfer problems.By expanding variables at a discretized time interval,a time and space coupled problem is converted into a series of boundary value problems.Based on a finite element method,a recursive and self-adaptive computation is conducted without the requirement of additional assumption and iteration for non-linear analysis.A couple of examples with high accuracy are shown.