1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
On the sensitivity of implementations of a least-squares collocation method for linear higher-index differential-algebraic equations
Michael Hanke
The present paper continues our investigation of an implementation of a least-squares collocation method for higher-index differential-algebraic equations. In earlier papers, we we…
Towards a reliable implementation of least-squares collocation for higher-index differential-algebraic equations
Michael Hanke, Roswitha März
In this note we discuss several questions concerning the implementation of overdetermined least-squares collocation methods for higher-index differential algebraic equations (DAEs)…
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…
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…
On a variable step size modification of Hines' method in computational neuroscience
Michael Hanke
For simulating large networks of neurons Hines proposed a method which uses extensively the structure of the arising systems of ordinary differential equations in order to obtain a…