When trying to solve a DAE problem of high index with more traditional methods, it often causes instability in some of the variables, and finally leads to breakdown of convergence and integration of the solution. This is nicely shown in [ESF98, p. 152 ff.].This chapter will introduce projection methods as a way of handling these special problems. It is assumed that we have methods for solving normal ODE systems and index-1 systems.
|Title of host publication
|Numerical Solutions of Differential Algebraic Equations
|Place of Publication
|Published - 1999