Highly Influenced

# Stability Properties of Differential-algebraic Equations and Spin-stabilized Discretizations

@inproceedings{KunkelStabilityPO, title={Stability Properties of Differential-algebraic Equations and Spin-stabilized Discretizations}, author={Peter Kunkel and Volker Mehrmann} }

Classical stability properties of solutions that are well-known for ordinary differential equations (ODEs) are generalized to differential-algebraic equations (DAEs). A new test equation is derived for the analysis of numerical methods applied to DAEs with respect to the stability of the numerical approximations. Morevover, a stabilization technique is developed to improve the stability of classical DAE integration methods. The stability regions for these stabilized discretization methods are… CONTINUE READING