3 papers
math.CA2023
Canonical Subspaces of Linear Time-Varying Differential-Algebraic Equations and Their Usefulness for Formulating Accurate Initial Conditions
Michael Hanke, Roswitha März
Accurate initial conditions have the task of precisely capturing and fixing the free integration constants of the flow considered. This is trivial for regular ordinary differential…
math.NA2019
Questions concerning differential-algebraic operators: Toward a reliable direct numerical treatment of differential-algebraic equations
Michael Hanke, Roswitha März
The nature of so-called differential-algebraic operators and their approximations is constitutive for the direct treatment of higher-index differential-algebraic equations. We trea…
math.NA2019
A least-squares collocation method for nonlinear higher-index differential-algebraic equations
Michael Hanke, Roswitha März
We introduce a direct numerical treatment of nonlinear higher-index differential-algebraic equations by means of overdetermined polynomial least-squares collocation. The procedure…