A flow-on-manifold formulation of differential-algebraic equations

DOI10.1007/s10884-015-9511-5zbMath1385.34013OpenAlexW2300100236MaRDI QIDQ1692090

Ann-Kristin Baum

Publication date: 26 January 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://depositonce.tu-berlin.de/handle/11303/15799

zbMATH Keywords

dynamical systemsfloweffective methodsDAEsdifferential indexflow on surface

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Flows on surfaces (37E35)

Related Items (1)

Small signal stability criteria for descriptor form power network model

Uses Software

• RODAS

Cites Work

• Differential-algebraic equations. A projector based analysis
• One canonical form for higher-index linear time-varying singular systems
• A general existence and uniqueness theory for implicit differential- algebraic equations
• Characterizing differential algebraic equations without the use of derivative arrays
• Stability properties of differential-algebraic equations and Spin-stabilized discretizations
• Criteria for the trivial solution of differential algebraic equations with small nonlinearities to be asymptotically stable
• Stability and bifurcation properties of index-1 DAEs
• Sensitivity of solutions of linear DAE to perturbations of the system matrices
• On an existence and uniqueness theory for nonlinear differential- algebraic equations
• A geometric treatment of implicit differential-algebraic equations
• Local and global invariants of linear differential-algebraic equations and their relation
• Regular solutions of nonlinear differential-algebraic equations and their numerical determination
• The index of linear differential algebraic equations with properly stated leading terms
• Symmetric projection methods for differential equations on manifolds
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Generalized inverses. Theory and applications.
• Solvability of linear differential algebraic equations with properly stated leading terms
• Canonical forms for linear differential-algebraic equations with variable coefficients
• On the local qualitative behavior of differential-algebraic equations
• The index of general nonlinear DAEs
• A simpler construction of the matrix chain defining the tractability index of linear DAEs
• On a geometrical interpretation of differential-algebraic equations
• Stability Loss in Quasilinear DAEs by Divergence of a Pencil Eigenvalue
• Mathematical Systems Theory I
• Differential Algebraic Equations, Indices, and Integral Algebraic Equations
• Evaluating Derivatives
• Differential-Algebraic Systems as Differential Equations on Manifolds
• A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations
• The Consistent Initialization of Differential-Algebraic Systems
• Invariant Subspaces of Matrices with Applications
• Riemannian geometry
• A simple structural analysis method for DAEs
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A flow-on-manifold formulation of differential-algebraic equations