numerical analysis
Noun
Meaning
(mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus
Source: WordNetSynonyms
Hypernyms
Examples
A calculus text is no substitute for numerical analysis, but the reverse is also true.
Avoiding loss of significance Although the quadratic formula provides what in principle should be an exact solution, it does not, from a numerical analysis standpoint, provide a completely stable method for evaluating the roots of a quadratic equation.
A similar problem occurs frequently in numerical analysis : in order to compute a certain result, an iteration is intended to be carried out until the error is smaller than a chosen tolerance.
As noted above, computations may be rearranged in a way that is mathematically equivalent but less prone to error ( numerical analysis ).
Also, any spreadsheet software can be used to solve simple problems relating to numerical analysis.
An art of numerical analysis is to find a stable algorithm for solving a well-posed mathematical problem.