Dissertation > Excellent graduate degree dissertation topics show

Analysis of Finite Element Method for One-dimensional time-dependent Schr(?)dinger Equation on Unbounded Domain

Author: HuangYaLan
Tutor: JinJiCheng
School: Xiangtan University
Course: Computational Mathematics
Keywords: Schr?dinger equation Finite Element Method Artificial boundary Fully Discrete
CLC: O241.82
Type: Master's thesis
Year: 2010
Downloads: 28
Quote: 2
Read: Download Dissertation

Abstract


In this paper, the time-dependent Schr?dinger equation on a class of one -dimensional unbounded domains , constructed a fully discrete finite element scheme based on artificial boundary method , and subjected to a theoretical analysis . First, we introduce artificial boundary conditions , the initial value problem on the original unbounded domain into an initial boundary value problem on a bounded domain , then the problem in time the application Grank_Nicolson differential discrete format , in the space of linear or secondary finite element method approximation . Undergo a rigorous theoretical analysis , we construct fully discrete format is unconditionally stable and convergent, and at the same time it has been the order of convergence .

Related Dissertations

  1. Research on the Structure and Characteristics of Permanent Magnetic Coupling,TH139
  2. Simulation Analysis on Temperature Stress of RCC Arch Dam and Its Construction Joints Design Research,TV642.2
  3. Stability Analysis of Roller Compacted Concrete Gravity Dam Based on Time-history Method,TV642.2
  4. Research on Intelligent Aerial Bomb for Forest Fire Fighting,S762
  5. The Band Structure in 2D Resonant Phononic Crystal,O735
  6. Research on Sensing with High Birefringent Photonic Crystal Fiber,TP212
  7. Numerical and Experimental Studies for Multi-Cracks of Asphalt Pavement with Semi-Rigid Basement Asphalt,U416.217
  8. Applications of Vector Finite Element Method to Simulate Logging While Drilling Resistivity Tools,P631.83
  9. Scrap copper smelting furnace temperature measurement method,TF811
  10. Space hyperspectral imager Compensation focusing optical system of pre-,TH743
  11. Particle reinforced copper matrix composites mechanical behavior of finite element analysis,TB331
  12. Large opening pressure vessel structural finite element analysis and strength design,TH49
  13. Ultimate Strength and Reliability,U661.43
  14. After installation of central brake transmission housing improvement , simulation and experimental study,U463.212
  15. Based on FEM / BEM walled hull structural vibration and sound radiation characteristics of,U661.44
  16. The Dynamic Response Analysis of Cement Concrete Pavement with Function Layer,U416.216
  17. Baogang Cold Plate Leveler Main Drive System Torsional Vibration and Strength Analysis Model,TG333.23
  18. Full house bridge reinforcement mention Numerical simulation analysis contained,U445.72
  19. Simulated Study of Temperature Control and Anticracking in Mass Concrete Pile Cap,U445.57
  20. Study on the Widening Alteration Scheme of Jiaojiang Bridge,U445.6

CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations > Numerical Solution of Partial Differential Equations
© 2012 www.DissertationTopic.Net  Mobile