mathematical vs numerical

mathematical and numerical both are adjectives.

Word	Noun	Adjective	Verb	Adverb
mathematical	No	Yes	No	No
numerical	No	Yes	No	No

As adjectives, mathematical and numerical are synonyms defined as:

mathematical and numerical: relating to or having ability to think in or work with numbers

mathematical (adjective)	numerical (adjective)
relating to or having ability to think in or work with numbers	relating to or having ability to think in or work with numbers
of or pertaining to or of the nature of mathematics	of or relating to or denoting numbers
characterized by the exactness or precision of mathematics	measured or expressed in numbers
statistically possible though highly improbable
beyond question