Numerical Methods

The following operators and functions apply approximate numerical methods to return an answer. As with any approximation method, it is critical to know the limitations under which the approximation is valid. When you use a function or operator that involves a numerical approximation:

• Validate your results with a test case.

• Set the built-in variable TOL to achieve the desired accuracy and speed for numerically computed answers.

• Review the limitations of the methods for functions and operators that use them. In cases where you suspect the method may fail, restate the problem in a more stable form. Several important approximation methods are listed:

  • Integration
  • Derivation
  • Root function
  • Solving equations
  • Solving differential equations
  • Matrix determinants and inverses
  • Sorting