5. Accuracy and Errors

• Reminder: the simple integration scheme
• C++ and Python template programs for the simple integration scheme
• C++ and Python solutions to Exercise 4.2(a)

• Integration errors
• In-class exercise 5.1

• In-class exercise 5.2: the Euler method

• A better integrator
• In-class exercise 5.3: 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 5.4: a predictor-corrector method

• Homework #4