作者: Barry Koren , Rémi Abgrall , Pavel Bochev , Jason Frank , Blair Perot
DOI: 10.1016/J.JCP.2013.10.015
关键词:
摘要: Physics-compatible numerical methods are that aim to preserve key mathematical and physical properties of continuum physics models in their finite-dimensional algebraic representations. They include which such as energy, monotonicity, maximum principles, symmetries, involutions the models. Examples mimetic for spatial discretizations, variational geometric integrators, conservative finite-volume finite-element methods, etc. Research on physics-compatible is rapidly becoming a major research thrust across multiple disciplines within broader area computational science engineering. Our principal goal arranging this issue was provide readers with representative sample rather than comprehensive survey flourishing field. As result, we welcomed papers more pronounced review flavor well substantial formal content what common Journal Computational Physics. We hope resulting special will prove be informative useful all researchers interested current state-of-the-art methods. We thank people who have helped us preparing issue: reviewers, technical editors Physics, most authors.