Skip to content

Commit

Permalink
Improved README.
Browse files Browse the repository at this point in the history
  • Loading branch information
JonasBreuling committed Aug 14, 2024
1 parent 2bcb613 commit db680b4
Showing 1 changed file with 3 additions and 3 deletions.
6 changes: 3 additions & 3 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -145,7 +145,7 @@ $$
\end{aligned}
$$

Since the implemented solvers are designed for index 1 DAE's we have to perform some sort of index reduction. Therefore, we use the [stabilized index 1 formulation of Hiller and Anantharaman](https://doi.org/10.1002/nme.1620320803). The resulting system is given as
Since the implemented solvers are designed for index 1 DAE's we have to perform some sort of index reduction. Therefore, we transform the semi-explicit form into a general form as proposed by [Gear](https://doi.org/10.1137/0909004). The resulting index 1 system is given as

$$
\begin{aligned}
Expand Down Expand Up @@ -194,7 +194,7 @@ $$
\end{aligned}
$$

Since the implemented solvers are designed for index 1 DAE's we have to perform some sort of index reduction. Therefore, we use the [stabilized index 1 formulation of Hiller and Anantharaman](https://doi.org/10.1002/nme.1620320803). The resulting system is given as
Since the implemented solvers are designed for index 1 DAE's we have to perform some sort of index reduction. Therefore, we use the [stabilized index 1 formulation of Hiller and Anantharaman](https://doi.org/10.1002/nme.1620320803). The resulting index 1 system is given as

$$
\begin{aligned}
Expand Down Expand Up @@ -228,7 +228,7 @@ This problem is solved for $atol = rtol = 10^{-(3 + m / 4)}$, where $m = 0, \dot

### IDE - Weissinger

A simple example of an implicit differential equations is called Weissinger's equation
A simple example of an implicit differential equations is called [Weissinger's equation](https://www.mathworks.com/help/matlab/ref/ode15i.html#bu7u4dt-1)

$$
t y^2 (\dot{y})^3 - y^3 (\dot{y}^2) + t (t^2 + 1) \dot{y} - t^2 y = 0 .
Expand Down

0 comments on commit db680b4

Please sign in to comment.