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Grid methods for a boundary layer problem

  • Proceedings of the XV All-Russian Seminar “Physics and the Application of Microwaves” (Waves 2015) Named after Prof. A.P. Sukhorukov
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Bulletin of the Russian Academy of Sciences: Physics Aims and scope


Up-to-date finite-difference schemes are shown to allow us to solve boundary layer problems effectively provided the mesh is chosen appropriately. A procedure of obtaining an a posteriori asymptotically precise error estimation is proposed. A superfast algorithm applicable to a wide range of problems is described, and a semi-uniform rectangular grid that resolves all parts of the solution is proposed.

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Correspondence to A. A. Belov.

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Original Russian Text © A.A. Belov, N.N. Kalitkin, 2015, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2015, Vol. 79, No. 12, pp. 1655–1659.

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Belov, A.A., Kalitkin, N.N. Grid methods for a boundary layer problem. Bull. Russ. Acad. Sci. Phys. 79, 1448–1452 (2015).

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