| Title | A note on numerically consistent initial values for high index differential-algebraic equations |
| Authors | Carmen Arévalo |
| Alternative Location | http://etna.mcs.kent.edu/vo... |
| Publication | Electronic Transactions on Numerical Analysis |
| Year | 2008 |
| Volume | 34 |
| Pages | 14 - 19 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Kent State University Library |
| Abstract English | When differential-algebraic equations of index 3 or higher are solved <br> with backward differentiation formulas, the solution in the first few <br> steps can have gross errors, the solution can have gross errors in the <br> first few steps, even if the initial values are equal to the exact <br> solution and even if the step size is kept constant. This raises the <br> question of what are consistent initial values for the difference <br> equations. Here we study how to change the exact initial values into what <br> we call numerically consistent initial values for the implicit Euler<br> method. |
| Keywords | high index differential-algebraic equations, consistent initial values, higher index DAEs, |
| ISBN/ISSN/Other | ISSN: 1068-9613 |
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