If I understand correclty what you're trying to do, I would suggest you change the way you refer to your methods. The first method is "analysis using simulation" and the second method is 'analysis using mathematical methods".
To answer the question in your title, "analytical analysis" might appear to be intrinsically redundant in its literal meaning, but it is meaningless in this context.
Let me explain...
Quite often, the accepted definition of jargon seems to conflict with its literal or intuitive meaning.
First, you might be using the expression "numerical analysis" incorrectly. It is generally defined as:
The study of approximation techniques for solving mathematical problems, taking into account the extent of possible errors.
(Mathematics) a branch of mathematics concerned with methods, usually iterative, for obtaining solutions to problems by means of a computer
(from The Free Dictionary)
You aren't very specific about what kind of analyses you are doing and what methods you are using (other than simulation and "analysis") and you are assuming it's clear by anchoring your explanation on two terms (numerical analysis and "analytical analysis").
Let me give you a real life example from personal experience that might be similar to your situation: Suppose you are predicting the performance of a radar, and go over how might apply to your situation.
You can base our analysis on a simulation that models a radar, producing a huge amount of data that can statistically be reduced to your expectations of the radar performance. But just because this uses a lot of number crunching, it is not referred to as "numerical analysis". Parts of it might rely on numerical methods that come from the approximation techniques of numerical analysis (as defined above), but this simulation is still not referred to as numerical analysis. It could be called "performance prediction using modeling and simulation".
2) Mathematical Analysis (Analytical Solutions)
The expression analytical methods is defined as
In mathematics, using, subjected to, or capable of being subjected to a methodology involving algebra or other methods of mathematical analysis. (The Free Dictionary #5)
In the radar example, you might use mathematical analysis to create a performance model that can be used to predict performance directly, without all of the number crunching of the simulation method. This mathematical analysis might use a formula that can be calculated directly in what is called "closed form". It might also be in a form that is not amenable to closed form solution and requires the methods of numerical analysis to solve.
So you can see that what you might refer to as an "analytical analysis" could involve the methods of numerical analysis. Also, the number crunching of a simulation might not use the methods of numerical analysis. If this is counterintuitive, welcome to the area of language where jargon overrules common understanding.
All of this ignores that "types of analysis" might mean something specific to people who do this every day. For example, this article Six Types Of Analyses Every Data Scientist Should Know describes six types of analysis. None these of refers to numerical analysis or analytic methods. I'll leave that for you to read about separately.