Least squares completions for nonlinear differential algebraic equations

DOI10.1007/BF01385741zbMath0804.65066MaRDI QIDQ1326394

Stephen L. Campbell

Publication date: 15 January 1995

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

Full work available at URL: https://eudml.org/doc/133724

zbMATH Keywords

derivative array equationsleast squares completionsnonlinear differential algebraic equations of higher indexnonlinear singular least squares methods

Mathematics Subject Classification ID

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

Related Items (19)

Progress on a general numerical method for nonlinear higher index DAEs. II ⋮ Linear Differential Algebraic Equations and Observers ⋮ Completions of implicitly defined linear time varying vector fields ⋮ On the History of Differential-Algebraic Equations ⋮ Observability of nonlinear differential algebraic systems ⋮ DAEs arising from traveling wave solutions of PDEs ⋮ Jacobian reuse in explicit integrators for higher index DAEs ⋮ Numerical analysis of constrained Hamiltonian systems and the formal theory of differential equations ⋮ Chebyshev polynomial solutions of systems of high-order linear differential equations with variable coefficients ⋮ Auxiliary signal design for failure detection in differential-algebraic equations ⋮ Efficient index reduction algorithm for large scale systems of differential algebraic equations ⋮ Index reduction of differential algebraic equations by differential Dixon resultant ⋮ Unitary partitioning in general constraint preserving DAE integrators ⋮ Differentiability of consistency functions for DAE systems ⋮ The Flexibility of DAE Formulations ⋮ The additional dynamics of least squares completions for linear differential algebraic equations ⋮ Taylor polynomial solutions of systems of linear differential equations with variable coefficients ⋮ Linearization of DAEs along trajectories ⋮ Behavior of the nonunique terms in general DAE integrators

Cites Work

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• Algorithms for the Solution of the Nonlinear Least-Squares Problem
• Utilization of automatic differentiation in control algorithms
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