Least-squares collocation for higher-index linear differential-algebraic equations: Estimating the instability threshold

DOI10.1090/mcom/3393zbMath1455.65124OpenAlexW2887825862WikidataQ129396725 ScholiaQ129396725MaRDI QIDQ4629372

Caren Tischendorf, Roswitha März, Michael Hanke

Publication date: 22 March 2019

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/3393

zbMATH Keywords

collocation methodinitial value problemdifferential-algebraic equationboundary value problemessentially ill-posed problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for differential-algebraic equations (65L80) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)

Related Items (6)

Least-Squares Collocation for Higher-Index DAEs: Global Approach and Attempts Toward a Time-Stepping Version ⋮ Convergence analysis of least-squares collocation methods for nonlinear higher-index differential-algebraic equations ⋮ A reliable direct numerical treatment of differential-algebraic equations by overdetermined collocation: an operator approach ⋮ On the sensitivity of implementations of a least-squares collocation method for linear higher-index differential-algebraic equations ⋮ Towards a reliable implementation of least-squares collocation for higher index differential-algebraic equations. I: Basics and ansatz function choices ⋮ Towards a reliable implementation of least-squares collocation for higher index differential-algebraic equations. II: The discrete least-squares problem

Cites Work

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• Differential-algebraic equations. A projector based analysis
• Least-squares collocation for linear higher-index differential-algebraic equations
• Constraint preserving integrators for general nonlinear higher index DAEs
• Boundary-Value Problems for Differential-Algebraic Equations: A Survey
• A convergence analysis of regularization by discretization in preimage space
• Differential-Algebraic Equations from a Functional-Analytic Viewpoint: A Survey

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