Generalized Riemann Problem on the Decay of a Discontinuity with Additional Conditions at the Boundary and Its Application for Constructing Computational Algorithms

We construct an approximation of the fundamental solution of a problem for a hyperbolic system of first-order linear differential equations with constant coefficients. We propose an algorithm for an approximate solution of the generalized Riemann problem on the decay of a discontinuity under additio...

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Bibliographic Details
Published in:	Journal of mathematical sciences (New York, N.Y.) Vol. 263; no. 4; pp. 498 - 510
Main Authors:	Skalko, Yu. I., Gridnev, S. Yu
Format:	Journal Article
Language:	English
Published:	New York Springer US 09.05.2022 Springer Springer Nature B.V
Subjects:	Algorithms Boundary value problems Cauchy problems Decay Differential equations Discontinuity Hyperbolic systems Mathematics Mathematics and Statistics generalized function 35L40 35L50 35L67 35L45 characteristic Cauchy problem decay of a discontinuity conjugation condition equation of elastic dynamics Riemann invariant Green matrix-function hyperbolic system
ISSN:	1072-3374, 1573-8795
Online Access:	Get full text
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