Cornell University

Department of Physics

Phys 480/680, Astro 690 February 8, 2000

Computational Physics, Spring 2000

Homework Assignment # 2

(Due Thursday, February 17 at 8:40 am in class.)

Agenda and readings for the week of February 1:

The readings are from Numerical Recipes: The Art of Scientific Computing, 2 edition (in Fortran or C).

• Lec4, 02/08: Theory of errors in numerical integration; digit shifting tests; Richardson extrapolation.
  Reading: 4.2-4.3, Intro to 4.4
• Lec5, 02/10: Theory of solution of ODE's; discussion of application to Poisson's equation
  Reading: 16.0-16.1
• Lec6, 02/15: Root finding via bisection; Schrodinger's equation for atoms.
  Reading: 9.0-9.2, 17.0-17.2
• Lab2, 02/17: Convergence of solution of ODE's; numerical solutions of Schrödinger's equation; stability.

• Contents
• Extending ``rk4'' and ``derivs''
  • Coding
  • Debugging
• Solving Poisson's equation
  • Kernel for Poisson's equation
  • Poisson's equation solver
  • Solve for the potential of the 1s state of hydrogen
• HW#2 ADDENDUM
  • Double precision
    • Integration routines
    • ``rk4ind''
    • Poisson equation solver
  • ``User friendly'' code
    • Scaling with Nu
    • Poisson's equation for the 1s state of hydrogen
  • Schrödinger's equation
• About this document ...

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