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The formation of massive stars remains one of the most significant unsolved problems in astrophysics, with implications for the formation of the elements and the structure and evolution of galaxies. Despite the importance of massive star formation, relatively little is known about them
theoretically as they pose a major theoretical challenge. I will discuss the physics necessary for development of a comprehensive theory of massive star formation. I will review our current state of simulation of the formation of massive stars from turbulent initial conditons and discuss the computational challenges inherent in the simulations. I will outline the future advances in the theory and numerical simulation that are likely to be necessary for a complete understanding.
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