Dynamic iteration methods applied to linear DAE systems

DOI10.1016/0377-0427(89)90044-7zbMath0669.65056OpenAlexW2027726943MaRDI QIDQ1118990

Ulla Miekkala

Publication date: 1989

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90044-7

zbMATH Keywords

convergencerelaxationdifferential-algebraic equationsplittingsiteration methodsdynamic iteration

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (14)

On convergence of the WR-HSS iteration method for a system of linear differential equations ⋮ Remarks on Picard-Lindelöf iteration ⋮ Chaotic waveform relaxation methods for dynamical systems ⋮ Split Newton iterative algorithm and its application ⋮ Continuous-time accelerated block successive overrelaxation methods for time-dependent Stokes equations ⋮ On convergence conditions of waveform relaxation methods for linear differential-algebraic equations ⋮ Remarks on Picard-Lindelöf iteration. II ⋮ Two stage waveform relaxation method for the initial value problems of differential-algebraic equations ⋮ Newton waveform relaxation method for solving algebraic nonlinear equations ⋮ Convergence analysis of waveform relaxation methods for neutral differential-functional systems ⋮ Rapid convergence of waveform relaxation ⋮ Semi-convergence of parameterized Uzawa waveform relaxation method for a class of differential-algebraic equations ⋮ Two‐step waveform relaxation methods for implicit linear initial value problems ⋮ Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems

Cites Work

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• The solution of the matrix equations \(AXB-CXD=E\) and \((YA-DZ,YC- BZ)=(E,F)\)
• Sets of convergence and stability regions
• Convergence of Dynamic Iteration Methods for Initial Value Problems
• ODE Methods for the Solution of Differential/Algebraic Systems
• RGSVD—AN Algorithm for Computing the Kronecker Structure and Reducing Subspaces of Singular $A - \lambda B$ Pencils
• Differential/Algebraic Equations are not ODE’<scp>s</scp>

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