Unified analysis of higher-order finite volume methods for parabolic problems on quadrilateral meshes

@article{Yang2016UnifiedAO,
  title={Unified analysis of higher-order finite volume methods for parabolic problems on quadrilateral meshes},
  author={Min Yang and Jiangguo Liu and Qingsong Zou},
  journal={Ima Journal of Numerical Analysis},
  year={2016},
  volume={36},
  pages={872-896}
}
Finite volume methods (FVMs) have been widely used in scientific computing and engineering due to their easy implementation and the local conservation property. Lower-order FVMs are tightly related to finite difference or finite element methods, and have been extensively studied for a long time; see, e.g., Angelini et al. (2013), Bank & Rose (1987), Chatzipantelidis et al. (2008), Chou & Ye (2007), Ewing et al. (2002), Eymard et al. (2000), Hackbusch (1989), Hajibeygi & Jenny (2009) and Li et… 

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