Corpus ID: 237940676

A new Lagrange multiplier approach for constructing structure-preserving schemes, II. bound preserving

@article{Cheng2021ANL,
  title={A new Lagrange multiplier approach for constructing structure-preserving schemes, II. bound preserving},
  author={Qing Cheng and Jie Shen},
  journal={ArXiv},
  year={2021},
  volume={abs/2109.12479}
}
  • Q. Cheng, Jie Shen
  • Published 26 September 2021
  • Computer Science, Mathematics
  • ArXiv
In the second part of this series, we use the Lagrange multiplier approach proposed in the first part [7] to construct efficient and accurate bound and/or mass preserving schemes for a class of semi-linear and quasi-linear parabolic equations. We establish stability results under a general setting, and carry out an error analysis for a secondorder bound preserving scheme with a hybrid spectral discretization in space. We apply our approach to several typical PDEs which preserve bound and/or… Expand

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References

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A new Lagrange multiplier approach for constructing structure preserving schemes, I. positivity preserving
  • Q. Cheng, Jie Shen
  • Mathematics, Computer Science
  • 2021
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