Physics 555B: Advanced Computational Physics: Course Notes

• First Day Handouts Course outline [PDF] and Initial survey [PDF]
  
• Unix [PDF 32 pages] (Jan 9 & self-study)
• Fortran and C Programming (Jan 11 & self-study)
• Using Fortran and C in the Unix Environment
• Mixed Language (Fortran and C) Programming
• Linear Systems and Introduction to Finite Differencing (Jan 16, 18 & 23)
  
• PHYS 410 Notes
• Solving General Banded Linear Systems [PDF]. Lecture version [PDF]
• LAPACK Source Code (browse directory)
• BLAS (Basic Linear Algebra Subprograms) Source Code (browse directory)
• Nonlinear Equations (Jan 23)
  
• Newton's method and continuation [PDF]. Lecture version [PDF]
• Detailed Notes including Source Code and Output
  
• Solution of ODE's
• Solving ODEs using LSODA [PDF]. Lecture version [PDF]
  
• Detailed Notes Including Source Code and Output
• Solution of Time Independent PDEs
• Relaxation methods [PDF]
• Multigrid Methods
• Solution of Time Dependent PDEs Using Multigrid
  
• Particle Methods: The Barnes Hut Tree-Code
• Reference: Barnes & Hut, Nature, 324, 449