Honestly there is not much you can do. You see, her jealousy isn't caused by you or your actions. It's caused by her beliefs and insecurities, some of which may be subconscious. These are related to her personality and/or past experiences.
Basically she is choosing to behave in a jealous manner towards you. She may not be able to control her feelings, (I believe you can learn to do so to some extent but it takes a long time and a lot of practice.) But she does choose her behavior.
What can I do on my end to help alleviate her concerns?
1) Be honest. Every little lie will be a confirmation in her unconscious mind that you can and will lie to her. So don't do it ever.
2) Be transparent. Let her read your texts, and have access to your email/Facebook accounts. Call her ahead of time your going to be late, etc. . . transparency usually builds trust between people. I'm not saying that you have a moral duty to let her read every email in your inbox. That's just an example of being transparent.
3) Stay calm, don't get mad at her when she is behaving jealously. You may be getting mad (even if it's justified) but it will probably be seen by her as you being defensive and having something to hide.
So the thing is it already appears from your question that you are being reasonably transparent, and that you are honest with her. In which case it is unlikely that anything you do will ever assuage her jealously. If she is jealous of you when there is nothing to be jealous of (even in appearance only) then there is nothing you can do to fix that.
You can ask her to change her jealous behavior. Please don't ask her to stop feeling jealous. It's next to useless for most people and will usually just make them mad. But if she is behaving in a way that may harm your relationship, which unwarranted jealously definitely does, you have every right to ask her to change her behavior.
Don't make it an accusation, tell her why the behavior hurts you, keep it simple and specific, and express your love for her when you make your request. For example you might say:
Sweetheart, I love you and when you do -x- it makes me feel untrusted
and hurts our relationship. Can you please work on not doing -x-
Be prepared for her to respond with both tears and then anger. After she has expressed both tears and anger then she might be willing to work on her behavior. Though honestly I suspect she has some very deep seated issues relating to her past that she needs to resolve. She should probably see a counselor to help her deal with her issues.
If she doesn't respond after you've made your request say 3 or 4 times. . . well you may need to sit down and consider if you will be able to put up with her jealous behavior.