On linear differential-algebraic equations and linearizations

DOI10.1016/0168-9274(95)00058-3zbMath0840.65071OpenAlexW1968101596MaRDI QIDQ1902080

Roswitha März

Publication date: 7 July 1996

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://edoc.hu-berlin.de/18452/3183

zbMATH Keywords

convergencelinearizationdifferential-algebraic equationslinear index-1 and index-2 equationsNewton Kantorovich methodnonlinear index-2 equations

Mathematics Subject Classification ID

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

Related Items

Stability of periodic solutions of index-2 differential algebraic systems, On Linear Implicit Non-autonomous Systems of Difference Equations, Differential-Algebraic Equations from a Functional-Analytic Viewpoint: A Survey, How Floquet theory applies to index-1 differential algebraic equations, On index-2 linear implicit difference equations, Linearization approaches for general multibody systems validated through stability analysis of a benchmark bicycle model, DAEs arising from traveling wave solutions of PDEs. II, On discrete analogues of nonlinear implicit differential equations, Boundary-Value Problems for Differential-Algebraic Equations: A Survey, Criteria for the trivial solution of differential algebraic equations with small nonlinearities to be asymptotically stable, Discretization based indices for semilinear partial differential algebraic equations

Cites Work

• Basic properties of some differential-algebraic equations
• Index-2 differential-algebraic equations
• Linearly implicit extrapolation methods for differential-algebraic systems
• On the stability of solutions of autonomous index-1 tractable and quasilinear index-2 tractable DAEs
• Solving more general index-2 differential algebraic equations
• Canonical projectors for linear differential algebraic equations
• A survey of linear singular systems
• Modified quasilinearization method for solving nonlinear, two-point boundary-value problems
• Solution of Troesch's two-point boundary value problem by a combination of techniques
• A classification and survey of numerical methods for boundary value problems in ordinary differential equations
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