numerical vs mathematical

numerical and mathematical both are adjectives.

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

As adjectives, numerical and mathematical are synonyms defined as:

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

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