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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2020 Volume 60, Number 4, Pages 725–737 (Mi zvmmf11070)

This article is cited in 5 papers

Method of difference potentials for evolution equations with lacunas

S. V. Petropavlovskya, S. V. Tsynkovb

a National Research University Higher School of Economics, Moscow, 101000 Russia
b Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC 27695, USA

Abstract: A boundary method for computing unsteady wave propagation in three-dimensional space is proposed. The described approach is based on the method of difference potentials and the Huygens principle, which makes it possible to update the solution on the scatterer boundary by using a fixed time interval.

Key words: method of difference potentials, Huygens principle, lacunas, wave equation.

UDC: 519.63

Received: 14.11.2019
Revised: 14.11.2019
Accepted: 16.12.2019

DOI: 10.31857/S0044466920040146


 English version:
Computational Mathematics and Mathematical Physics, 2020, 60:4, 711–722

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© Steklov Math. Inst. of RAS, 2024