Timeline for What's behind Method -> {"EquationSimplification" -> "Residual"}
Current License: CC BY-SA 3.0
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| Oct 21, 2017 at 12:34 | comment | added | Michael E2 | @xzczd More specifically, it solves the second equation using the IDA DAE-solver, using Newton's method (I assume) to approximate the solution to the equation. I interpreted the "since..." to mean that the 2nd equation is solved approximately. I didn't think that Simon meant that the original system cannot be solved, but I can see now that yours is a possible interpretation. | |
| Oct 21, 2017 at 3:48 | comment | added | xzczd♦ |
What do you mean by "since rounding errors would cause contradictions between the various explicit definitions in a set of long and numerically expensive functions when Mathematica gives the error message with the suggestion to use that Method"? If you mean, the warning suggesting to use Method -> {"EquationSimplification" -> "Residual"} appears because NDSolve can't solve the system accurately with the default method, I'm afraid you're wrong. This warning is more related to pre-processing.
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| Aug 21, 2017 at 22:40 | history | answered | Yukterez | CC BY-SA 3.0 |