Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations

DOI10.1007/BF01385795zbMath0744.65026OpenAlexW2017183642MaRDI QIDQ1180756

Ludwig Elsner, Volker Mehrmann

Publication date: 27 June 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133564

zbMATH Keywords

convergenceEuler equations\(M\)-matricesblock matrices\(Z\)-matricesblock iterative methods

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Euler-Poisson-Darboux equations (35Q05)

Related Items (17)

Characterization of \(\alpha 1\) and \(\alpha 2\)-matrices ⋮ Block analogies of comparison matrices ⋮ Block iterations and compactification for periodic block dominant systems associated to invariant tori approximation ⋮ Matrix compensation and diagonal compensation ⋮ Distributed centroid estimation from noisy relative measurements ⋮ Fast multigrid solution of high-order accurate multiphase Stokes problems ⋮ Finite volume method for coupled subsurface flow problems. I: Darcy problem ⋮ On parallel multisplitting block iterative methods for linear systems arising in the numerical solution of Euler equations ⋮ Some new conditions for generalized H-matrices ⋮ The closure property of the Schur complement for Nekrasove matrices and its applications in solving large linear systems with Schur-based method ⋮ Classes of general \(H\)-matrices ⋮ On a class of matrices which arise in the numerical solution of Euler equations ⋮ A Numerical Approach for a System of Transport Equations in the Field of Radiotherapy ⋮ On generalized \(H\)-matrices ⋮ A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations ⋮ Convergence of block iterative methods for linear systems with generalized \(H\)-matrices ⋮ Matrices whose inverses are generalizedM-matrices

Cites Work

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• Characterization of acyclic D-stable matrices
• On classes of matrices containing M-matrices and Hermitian positive semidefinite matrices
• Multiple grid and Osher's scheme for the efficient solution of the steady Euler equations
• On recurring theorems on diagonal dominance
• NOTE ON M-MATRICES
• The Hadamard-Fischer inequality for a class of matrices defined by eigenvalue monotonicity

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