Characterizing differential algebraic equations without the use of derivative arrays

DOI10.1016/j.camwa.2005.08.015zbMath1088.65077OpenAlexW2021698176MaRDI QIDQ815245

Roswitha März

Publication date: 16 February 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.08.015

zbMATH Keywords

singularitiesnumerical examplesbifurcationstractability indexlinearisationindex monitoringprojector technique

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for differential-algebraic equations (65L80)

Related Items (8)

On solving optimal control problems with higher index differential-algebraic equations ⋮ Index-aware model-order reduction for a special class of nonlinear differential-algebraic equations ⋮ On the tractability index of a class of partial differential-algebraic equations ⋮ A flow-on-manifold formulation of differential-algebraic equations ⋮ Index-2 elliptic partial differential-algebraic models for circuits and devices ⋮ Optimal control of differential-algebraic equations of higher index. I: First-order approximations ⋮ Nonsmooth Hessenberg differential-algebraic equations ⋮ Consistent initialization for DAEs in Hessenberg form

Cites Work

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• Stability preserving integration of index-1 DAEs.
• Inner, outer, and generalized inverses in banach and hilbert spaces
• Differential--Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index

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