Abstract
We compute the rate of convergence of forward, backward, and central finite difference \(\theta \)-schemes for linear PDEs with an arbitrary odd order spatial derivative term. We prove convergence of the first or second order for smooth and less smooth initial data.
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Acknowledgements
The author would thank F.Lagoutière and F.Rousset for their helpful remarks and the anonymous referees.
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Courtès, C. (2018). Convergence for PDEs with an Arbitrary Odd Order Spatial Derivative Term. In: Klingenberg, C., Westdickenberg, M. (eds) Theory, Numerics and Applications of Hyperbolic Problems I. HYP 2016. Springer Proceedings in Mathematics & Statistics, vol 236. Springer, Cham. https://doi.org/10.1007/978-3-319-91545-6_32
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DOI: https://doi.org/10.1007/978-3-319-91545-6_32
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