On an effective solution of the Riemann problem for the second-order improperly elliptic equation in the rectangle

DOI10.1186/1687-1847-2013-190zbMath1393.65040OpenAlexW2100042648WikidataQ59299799 ScholiaQ59299799MaRDI QIDQ1648728

Seyed Mohammadali Raeisian, Armenak O. Babayan

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-190

zbMATH Keywords

boundary value problemRiemann problemgrid methodimproperly elliptic equationBitzadze equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite difference methods for boundary value problems involving PDEs (65N06) Riemann-Hilbert problems in context of PDEs (35Q15) Boundary value problems for linear higher-order PDEs (35G15) Boundary value problems for second-order elliptic systems (35J57) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20) Boundary value problems for systems of linear higher-order PDEs (35G45)

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Cites Work

• Factored sparse approximate inverse of block tridiagonal and block pentadiagonal matrices
• Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of `Numerische Behandlung partieller Differentialgleichungen' by Martin Stynes.
• Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
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