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Is this thing called Interval Math? Can Maple do it?

Posted on 2007-08-31 12:32 By Luna Moon (Maple Rating 1 28)
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Is this thing called Interval Math? Can Maple do it?

Is this thing called Interval Math? Can Maple do it?

I am not about if this is called Interval Analysis. The thing in my mind is that I know my Monte Carlo simulation yields a result with an error tolerance of 1e-5. And I wrap that MC simulation component into a more complicated expression and form a function, I want to know the error bound of the whole function involving the MC component. Can Maple do this?

The same applies to analysis about round-off error. If I know a sub-expression has a round-off error of 1e-6, what should the error of the main expression involving this sub-expression be?

Thanks!

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Robert Israel's picture

Interval Math

Comment on 2007-08-31 13:14 from Robert Israel (Maple Rating 4 1555)

1) evalr
2) Tolerances package
3) ScientificErrorAnalysis package
4) Interval Arithmetic package IntpakX from the Maple Application Center

Thanks Robert! You mean four

Comment on 2007-09-02 00:38 from Luna Moon (Maple Rating 1 28)

Thanks Robert! You mean four alternative methods that will lead to the same result, or else? I am not sure if I have to gather all four items you've listed...

Robert Israel's picture

Four different ways

Comment on 2007-09-02 02:10 from Robert Israel (Maple Rating 4 1555)

These are four different implementations of what might loosely be called "interval arithmetic" (though the ScientificErrorAnalysis package explicitly says that it is _not_ interval arithmetic).

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