4. Accuracy and Errors

• Reminder: the simple integration scheme
• C++ and python template programs for the simple integration scheme

• Integration errors
• In-class exercise 4.1
  (C++ and python solutions)
• Reminder: using shell scripts with the single loop version of the program.

• In-class exercise 4.2: the Euler method

• A better integrator
• In-class exercise 4.3: a second-order scheme

• Taylor series methods

• Comparison of second-order schemes
  • simple versus analytic 2nd order
  • simple versus numerical 2nd order
  • analytic versus numerical 2nd order
  • analytic versus numerical 2nd order (alternate)

• In-class exercise 4.4: a predictor-corrector method

• Homework #3