- 期刊
- OpenAccess
Evaluation of Integrals over the Brillouin Zone: II. Gauss-Moment-Singularity Method for Counting Frequencies of Lattice Vibrations
並列摘要
New approximate formulas for evaluating integrals over the Brillouin zone are reported in this paper. These formulas are formally similar to the Houston type, and can be obtained readily from the Gaussian quadrature formula without solving the matrix equation. Their accuracy is better than that of the Houston’s many-term expansion formulas. An application is made to the problems of the lattice vibration to show their feasibility.
並列關鍵字
無資料被引用紀錄
Li, C. K. (2013). 氮化鎵元件傳播特性探討 [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2013.02353
廖昱翔（2008）。多種模擬退火法於雙目標流線型排程問題解算效果之評估比較〔碩士論文，元智大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0009-2507200812304000
延伸閱讀
- Mahdioui, H., & Chadli, O. (2012). On a System of Generalized Mixed Equilibrium Problems Involving Variational-Like Inequalities in Banach Spaces: Existence and Algorithmic Aspects. Advances in Operations Research, 2012(), 376-393. https://doi.org/10.1155/2012/843486
- Kim, J. K., Buong, N., & Sim, J. Y. (2014). A New Iterative Method for the Set of Solutions of Equilibrium Problems and of Operator Equations with Inverse-Strongly Monotone Mappings. Abstract and Applied Analysis, 2014(), 460-467-945. https://doi.org/10.1155/2014/595673
- Zhao, J. (2012). Strong Convergence of a Hybrid Iteration Scheme for Equilibrium Problems, Variational Inequality Problems and Common Fixed Point Problems, of Quasi-φ-Asymptotically Nonexpansive Mappings in Banach Spaces. Journal of Applied Mathematics, 2012(), 1400-1418-393. https://doi.org/10.1155/2012/516897
- Zhou, Y. Y., Cao, J. T., & Wang, Y. L. (2014). Convergence Theorem for Equilibrium and Variational Inequality Problems and a Family of Infinitely Nonexpansive Mappings in Hilbert Space. Journal of Applied Mathematics, 2014(), 471-478-144. https://doi.org/10.1155/2014/232541
- Denis, C. (2015). Using the Comprehensive (G'/G) -Expansion Method to Inquire about the New Precise Solutions of the (2+1)-Dimensional Dispersive Long-Wave Equations. Scholedge International Journal of Multidisciplinary & Allied Studies, 2(1), 32-38. https://www.airitilibrary.com/Article/Detail?DocID=2394336X-201501-201503020023-201503020023-32-38