Numerical solution of DAE systems using block BDF methods
A class of one-step methods with high stage order is presented. The intention is to use each of the internal stages as an output point which is why the authors describe their methods as block backward differentiation formula (BDF) methods rather than as traditional one-step methods. It is shown how to construct the methods and results on existence and numerical stability of the solution are presented. The convergence of the methods for systems of differential algebraic equations (DAEs) are also addressed and some numerical results are given.
block backward differentiation formula methods
systems of differential algebraic equations
scientific article; zbMATH DE number 903477