Abstract
In this paper, a unified framework is developed to describe acceleration methods for the iterative convergence of neutron transport problems. The framework is that of a two-level multigrid algorithm. All widely-known transport acceleration methods not based on direct matrix manipulations (i.e., SOR or Chebyschev acceleration) can be described within this framework. Our presentation provides a way of understanding older methods within a unified theory, and it easily allows for the development of new methods.
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© 1991 Springer Basel AG
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Larsen, E.W. (1991). Transport Acceleration Methods as Two-Level Multigrid Algorithms. In: Greenberg, W., Polewczak, J. (eds) Modern Mathematical Methods in Transport Theory. Operator Theory: Advances and Applications, vol 51. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5675-1_4
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DOI: https://doi.org/10.1007/978-3-0348-5675-1_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5677-5
Online ISBN: 978-3-0348-5675-1
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