I'm guessing that non-judgmental meditation would be referring to the Mindfulness Meditation. You can Google to get information. The non-judgmental part is that when your mind wanders (as it will do) you bring your attention back to the breath non-judgmentally rather than thinking of it as "failing" meditation. Mindful Meditation has gone mainstream due to Jon Kabat-Zinn. He is professor of medicine emeritus at the University of Massachusetts Medical School, where he founded the Center for Mindfulness in Medicine, Health Care, and Society (in 1995). He is also the founder (in 1979) of Mindfulness-Based Stress Reduction and of UMass Medical Schools, world-renowned MBSR Clinic.He developed a form called Mindfulness-Based Stress Reduction (MBSR) that is also used for those that want to meditate primarily for stress reduction. I first learned about Mindfulness from a "60-Minute" episode featuring Anderson Cooper's experience. After that I took a free course online from a man who was trained by Jon Kabat-Zinn. I was very skeptical, but I stuck with the course and realized that it did make a big difference in my health. (I will try to find the link to that course if you are interested.) There are also MANY apps to download that will guide you through mindful meditations. I started out with the Calm app ( https://www.calm.com)@aliali.