Numerical mathematics

Numerical approximation laboratory

Three algorithms, three ways to approach a number. Change the inputs, advance one step at a time or start playback.

Back to the approximations article

Bisection: keep the half-interval that contains √a. The root of f(t)=t²−a stays enclosed.

Choose a method and press “Next step”.

Current estimate—

Reference value—

Absolute error—

Steps0 / 8

Completed steps

StepEstimateAbsolute error

How the error changes

Each bar shows the absolute error at one step. The scale is relative to the first displayed error.

The browser calculates the reference using √a or eˣ; it is a highly accurate numerical estimate, not a proof.