Constraint preserving integrators for general nonlinear higher index DAEs

DOI10.1007/s002110050099zbMath0822.65047OpenAlexW2061088299MaRDI QIDQ1347033

V. Pereyra

Publication date: 15 October 1995

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

Full work available at URL: https://doi.org/10.1007/s002110050099

zbMATH Keywords

singular systemsingularitydifferential algebraic equationsdescriptor systemhigher index

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (18)

Observability of nonlinear differential algebraic systems ⋮ DAEs arising from traveling wave solutions of PDEs ⋮ Jacobian reuse in explicit integrators for higher index DAEs ⋮ Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes ⋮ A minimal norm corrected underdetermined Gauß-Newton procedure ⋮ Numerical analysis of constrained Hamiltonian systems and the formal theory of differential equations ⋮ DAEs arising from traveling wave solutions of PDEs. II ⋮ 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 ⋮ Least-squares collocation for higher-index linear differential-algebraic equations: Estimating the instability threshold ⋮ Unitary partitioning in general constraint preserving DAE integrators ⋮ Linearization of DAEs along trajectories ⋮ Completions of nonlinear DAE flows based on index reduction techniques and their stabilization ⋮ Behavior of the nonunique terms in general DAE integrators ⋮ On the sensitivity of implementations of a least-squares collocation method for linear higher-index differential-algebraic equations ⋮ The structural index of sensitivity equation systems ⋮ 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

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