Syllabus of

Wave Theory II

• Semester : Autumn semester
• Credit : 2-0-0
• Day and Time : Tuesday, 15:00 - 16:30 (Japanese time)
• Lecturer : Jun-ichi Takada, O-okayama Minami-3 Bldg., rm. 913 (ext. 3282, e-mail takada@ide.titech.ac.jp)
• Plan:
  1. Helmholtz equation, Numerical simulation of waves
  2. Representation of wave function by using Green function (1)
     --- Green's theorem, Free space Green function
  3. Representation of wave function by using Green function (2)
     --- Eigenfunction expansion to derive the Green function in bounded region
  4. Boundary element method (1) --- Boundary integral equation
  5. Boundary element method (2) --- Discretization of integral equation
  6. Finite element method (1) --- Method of weighted residuals
  7. Finite element method (2) --- Finite element method
  8. Physical optics approximation
  9. Fast matrix solvers (1) --- Gauss-Seidel method
  10. Fast matrix solvers (2) --- Conjugate gradient method
• Textbook:
  Handouts are available via the web page. http://www.mobile.ss.titech.ac.jp/~takada/waves/
• Evaluation:
  Weekly reports including some programming : 50%
  Mid-term and end-term exams : 50%