示波极谱法测定地质样品中痕量碘的样品分解方法比较

分别用半熔法、热解法、碱熔法，酸蒸馏法分解地质样品，极谱法测定痕量碘。比较了４种分解方法的效果。指出了半熔法为最佳。     

叠氮化氢二聚体的分子间相互作用

通过ａｂ ｉｎｉｔｉｏＨＦ／６－３１Ｇ＊计算求得叠氮化氢二聚体（ＨＮ３）２势能面上四种优化结构型,经ＭＰ４ＳＤＴＱ电子相关校正和基组叠加误差２校正求得这些构型下的分子间相互作用能。结果表明,在四种优化构型中Ｎ３Ｈ．．．ＮＨＮ２最稳定,其分子间相互作用能为－１６．０７ＫＪ．ｍｏｌ＾－１。     

AN EFFICIENT ADER DISCONTINUOUS GALERKIN SCHEME FOR DIRECTLY SOLVING HAMILTON-JACOBI EQUATION

This paper proposes an efficient ADER(Arbitrary DERivatives in space and time)discontinuous Galerkin(DG)scheme to directly solve the Hamilton-Jacobi equation.Unlike multi-stage Runge-Kutta methods used in the Runge-Kutta DG(RKDG)schemes,the ADER scheme is one-stage in time discretization,which is desirable in many applications.The ADER scheme used here relies on a local continuous spacetime Galerkin predictor instead of the usual Cauchy-Kovalewski procedure to achieve high order accuracy both in space and time.In such predictor step,a local Cauchy problem in each cell is solved based on a weak formulation of the original equations in spacetime.The resulting spacetime representation of the numerical solution provides the temporal accuracy that matches the spatial accuracy of the underlying DG solution.The scheme is formulated in the modal space and the volume integral and the numerical fluxes at the cell interfaces can be explicitly written.The explicit formulae of the scheme at third order is provided on two-dimensional structured meshes.The computational complexity of the ADER-DG scheme is compared to that of the RKDG scheme.Numerical experiments are also provided to demonstrate the accuracy and efficiency of our scheme.     

局部时间步长间断有限元方法求解三维欧拉方程

使用间断有限元方法求解三维流体力学方程.空间剖分采用非结构四面体网格,为了克服显格式在单元网格尺寸差别较大时计算效率低下的问题,在格式中采用局部时间步长技术(LTS),即控制方程在空间、时间上积分得到一种单步格式,既可以局部计算每个单元又避免了Runge-Kutta高精度格式处理三维问题时存储量过大的问题.为了提高流体力学方程计算精度,在计算单元边界的数值流通量时使用任意高阶精度方法(ADER).数值算例表明格式稳定有效.     

半导体物理中的一个两点边值问题

本文研究了半导体流的表面张力进行区域提纯问题中提出的两点边值问题解的存在性 ,我们用上、下解方法和 Schauder不动点定理证明了如果 Q=2 A3 Re,其中 A是表面速率 ,Re是 Reynolds数 ,则当 0 Q 1 3.2 1时 ,该问题有解 ,对最近的结果 ( 0 Q 1 2 .6 8时 ,此问题的解存在 )进行了重要的改进