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JuliaIntervals / TaylorModels.jl

Rigorous function approximation using Taylor models in Julia
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New methods for TaylorModel1 arithmetic #85

Closed ulinares closed 3 years ago

ulinares commented 3 years ago

This PR adds new methods for TaylorModel1(with TaylorN coefficients) arithmetic.

ulinares commented 3 years ago

Hi, just pushed a test for the multiplication.

Playing around with these TM1's with TaylorN coefficients, I've found that the following needs an appropriate implementation for this kind of Taylor Models:

Maybe those cases can be addressed on another PR and merge this since #84 uses the product of TM's implemented here.

lbenet commented 3 years ago

Hi, just pushed a test for the multiplication.

Playing around with these TM1's with TaylorN coefficients, I've found that the following needs an appropriate implementation for this kind of Taylor Models:

* Trigonometric functions (`sin(x)`, `cos(x)`, etc.)

* Exponential and logarithmic functions.

* Power functions (up to now only ^2 is supported)

Maybe those cases can be addressed on another PR and merge this since #84 uses the product of TM's implemented here.

Good catch! In order not to forget this, can you open an issue?

ulinares commented 3 years ago

Ready!