Towards a reliable implementation of least-squares collocation for higher index differential-algebraic equations. II: The discrete least-squares problem

DOI10.1007/s11075-021-01141-6zbMath1484.65165OpenAlexW3167606457WikidataQ115381579 ScholiaQ115381579MaRDI QIDQ2116035

Michael Hanke, Roswitha März

Publication date: 16 March 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-021-01141-6

zbMATH Keywords

ill-posed problemleast-squares collocationhigher index differential-algebraic equations

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)

Related Items (1)

On the sensitivity of implementations of a least-squares collocation method for linear higher-index differential-algebraic equations

Uses Software

• COLNEW
• Eigen
• SuiteSparseQR
• SuitSparseQR
• CSparse

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
• Algorithm 915, SuiteSparseQR
• Direct Methods for Sparse Linear Systems
• On the Method of Weighting for Equality-Constrained Least-Squares Problems
• A New Basis Implementation for a Mixed Order Boundary Value ODE Solver
• A Note on Deferred Correction for Equality Constrained Least Squares Problems
• Least-squares collocation for higher-index linear differential-algebraic equations: Estimating the instability threshold

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