Name
Title | ||
|---|---|---|
Towards a reliable implementation of least-squares collocation for higher index differential-algebraic equations-Part 2: the discrete least-squares problem |
Abstract | ||
|---|---|---|
In the two parts of the present note we discuss questions concerning the implementation of overdetermined least-squares collocation methods for higher index differential-algebraic equations (DAEs). Since higher index DAEs lead to ill-posed problems in natural settings, the discrete counterparts are expected to be very sensitive, which attaches particular importance to their implementation. We provide in Part 1 a robust selection of basis functions and collocation points to design the discrete problem whereas we analyze the discrete least-squares problem and substantiate a procedure for its numerical solution in Part 2. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1007/s11075-021-01141-6 | NUMERICAL ALGORITHMS |
Keywords | DocType | Volume |
Least-squares collocation, Higher index differential-algebraic equations, Ill-posed problem | Journal | 89 |
Issue | ISSN | Citations |
3 | 1017-1398 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael Hanke | 1 | 0 | 0.68 |
| Roswitha März | 2 | 25 | 10.56 |