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Zheng-su Wan Ben-yu Guo Zhong-qing Wang 《计算数学(英文版)》2006,24(4):481-500
In this paper, we investigate Jacobi pseudospectral method for fourth order problems. We establish some basic results on the Jacobi-Gauss-type interpolations in non-uniformly weighted Sobolev spaces, which serve as important tools in analysis of numerical quadratures, and numerical methods of differential and integral equations. Then we propose Jacobi pseudospectral schemes for several singular problems and multiple-dimensional problems of fourth order. Numerical results demonstrate the spectral accuracy of these schemes, and coincide well with theoretical analysis. 相似文献
53.
在扩散限制凝聚(DLA)模型基础上,采用Monte Carlo方法模拟了具有幂次相互作用的磁性粒子动力学凝聚过程.重点研究了在不同幂指数。值下团簇的形貌及其分形维数Df随耦合参数膨的演化规律.模拟结果表明:对于较大的α值,即α=5时,团簇形貌随雕的变化较小,其分形维数Df一般在1.60~1.70;而随着α值的减小,团簇形貌随参数βC有一明显的演化过程,在模拟范围内,分形维数Df在1.20~1.95. 相似文献
54.
In this paper, a unified model for time-dependent Maxwell equations in dispersive media is considered. The space-time DG method developed in [29] is applied to solve the underlying problem. Unconditional L2-stability and error estimate of order O τr+1+ hk+1/2 are obtained when polynomials of degree at most r and k are used for the temporal discretization and spatial discretization respectively. 2-D and 3-D numerical examples are given to validate the theoretical results. Moreover, numerical results show an ultra-convergence of order 2r + 1 in temporal variable t. 相似文献
55.
该文,使用变分方法,研究了一类如下双相问题正解的存在性■其中N≥2,1
1∈Ls1、(Ω),V2∈Ls2(Ω)是权函数且V1允许变号的,V2是非负的. 相似文献
56.
We use the model with the consideration of the traffic study the relationship between the traffic risk coefficient interruption probability (Physica A 387(2008)6845) to and the traffic interruption probability. The analytical and numerical results show that the traffic interruption probability will reduce the traffic risk coefficient and that the reduction is related to the density, which shows that this model can improve traffic security. 相似文献
57.
Based on the scales theory of electromagnetic waves, the analytical expression of electrical fields inside an anisotropic medium sphere is studied. Differential scattering cross section and radar cross section (RCS) for an anisotropic spherical target are presented. The correctness of the obtained results is tested. The simulation results show that the scattering of an anisotropic sphere has the property of a dipole radiation under the condition of Rayleigh scattering. The larger the dielectric constant is, the stronger the dipole scattering is. Anisotropy in magnetism only has an effect on differential RCS. These results provide a theoretical base for the identification of anisotropic targets. 相似文献
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Theoretical Study of Interesting Fine-Structure Splittings Based on a Scenario for Precise Calculations
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Based on the multi-configuration Dirac-Fock self-consistent field method, a scenario has been presented to calculate the fine-structure energy levels of C^2+ and Si^2+ excited states (31 D2 and 33D1,2,3). The Breit interactions and quantum electrodynamics corrections are added as perturbations. The present calculation results are found to be in excellent agreement with the experimental data. By means of the precise calculation procedure, we elucidate that four competitive mechanisms influence the interesting fine-structure splittings in C^2+ and Si^2+, such as spin-orbit interactions, relativistic corrections of exchange interactions, the Breit interactions and electron correlation effects. Furthermore, the mechanism of relativistic correction of exchange interactions has been studied clearly. We elucidate that the inner shell 2p1/2,3/2 orbitals are essential to relativistic corrections of exchange interactions which are crucial for the final anomalous fine-structure splittings. 相似文献