Implementation of linear multistep methods for solving constrained equations of motion
SIAM Journal on Numerical Analysis
Progress on a general numerical method for nonlinear higher index DAEs II
Circuits, Systems, and Signal Processing - Special issue: implicit and robust systems
Constraint preserving integrators for general nonlinear higher index DAEs
Numerische Mathematik
Solvability of general differential algebraic equations
SIAM Journal on Scientific Computing
On the numerical solution of the Euler-Lagrange equations
SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis
A New Software Package for Linear Differential-Algebraic Equations
SIAM Journal on Scientific Computing
Numerical Initial Value Problems in Ordinary Differential Equations
Numerical Initial Value Problems in Ordinary Differential Equations
Completions of nonlinear DAE flows based on index reduction techniques and their stabilization
Journal of Computational and Applied Mathematics
A minimal norm corrected underdetermined Gauß-Newton procedure
Applied Numerical Mathematics
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A number of numerical algorithms have been developed for various special classes of DAEs. This paper describes a new variable step size, constraint preserving integrator for general nonlinear fully implicit higher index DAEs. Numerical implementation issues are discussed. Numerical examples illustrate the effectiveness of the new method.