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Analytic Theory of Singular Perturbations and Lomov’s Regularization Method

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Finite Difference Methods. Theory and Applications (FDM 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11386))

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Abstract

The paper contains results related to the so-called analytic theory of singular perturbations. The main of them are sufficient conditions for ordinary convergence of series in powers of a small parameter representing solutions of singularly perturbed problems.

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References

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Author information

Authors and Affiliations

  1. National Research University “MPEI”, Moscow, Russia

    Vasiliy I. Kachalov

Authors
  1. Vasiliy I. Kachalov
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Correspondence to Vasiliy I. Kachalov .

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Editors and Affiliations

  1. IICT, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. University of Rousse, Rousse, Bulgaria

    Lubin Vulkov

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Kachalov, V.I. (2019). Analytic Theory of Singular Perturbations and Lomov’s Regularization Method. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods. Theory and Applications. FDM 2018. Lecture Notes in Computer Science(), vol 11386. Springer, Cham. https://doi.org/10.1007/978-3-030-11539-5_34

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  • DOI: https://doi.org/10.1007/978-3-030-11539-5_34

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-11538-8

  • Online ISBN: 978-3-030-11539-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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