Several subfields of digital simulation have contributed to the design of our physical reality. These include quantum physics, quantum chemistry, condensed matter physics, computational statistical mechanics, computational materials science, continuum modeling, circuit layout, etc. In this paper, we reflect on the status of these fields, which we call as a collective matter simulation methods, since the early days of computing to the current era. Our goal is that of answering the question of what are the emerging challenges and opportunities for these fields in the twenty-first century? By answering this question, we arrive to the conclusion that redefining their scope of their main mission may be necessary due to the rapid advances in the drivers of our society.