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Added documentation for methods ROS2, ROS3, ROS2PR, ROS2S, ROS3PR, Sc… #733

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Apr 22, 2024
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Added documentation for methods ROS2, ROS3, ROS2PR, ROS2S, ROS3PR, Sc… #733

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Added documentation for methods ROS2, ROS3, ROS2PR, ROS2S, ROS3PR, Sc…
cwittens Mar 28, 2024
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Update docs/src/solvers/ode_solve.md
cwittens Mar 29, 2024
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24 changes: 23 additions & 1 deletion docs/src/solvers/ode_solve.md
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Expand Up @@ -550,6 +550,25 @@ to be thread safe. It parallelizes the `nlsolve` calls inside the method.
4th order interpolant.
- `Rodas5P` - A 5th order A-stable stiffly stable Rosenbrock method with a stiff-aware
4th order interpolant. Has improved stability in the adaptive time stepping embedding.
- `ROS2` - A 2nd order L-stable Rosenbrock-Wanner method with 2 internal stages.
- `ROS3` - A 3rd order L-stable Rosenbrock-Wanner method with 3 internal stages
with an embedded strongly A-stable 2nd order method.
- `ROS2PR` - A 2nd order stiffly accurate Rosenbrock-Wanner method with 3 internal stages with Rinf=0.
For problems with medium stiffness the convergence behaviour is very poor
and it is recommended to use `ROS2S` instead.
- `ROS3PR` - A 3nd order stiffly accurate Rosenbrock-Wanner method
with 3 internal stages and B_PR consistent of order 3, which is strongly A-stable with Rinf~=-0.73.
- `Scholz47` - A 3nd order stiffly accurate Rosenbrock-Wanner method
with 3 internal stages and B_PR consistent of order 3, which is strongly A-stable with Rinf~=-0.73.
Convergence with order 4 for the stiff case, but has a poor accuracy.
- `ROS3PRL` - A 3nd order stiffly accurate Rosenbrock-Wanner method with 4 internal stages
with B_PR consistent of order 2 with Rinf=0. The order of convergence decreases if medium stiff problems
are considered, but it has good results for very stiff cases.
- `ROS3PRL2` - A 3nd order stiffly accurate Rosenbrock-Wanner method with 4 internal stages
with B_PR consistent of order 3. The order of convergence does NOT decreases if
medium stiff problems are considered as it does for ROS3PRL.



#### Rosenbrock-W Methods

Expand All @@ -568,7 +587,10 @@ to be thread safe. It parallelizes the `nlsolve` calls inside the method.
- `ROS34PW1b` - A 4th order L-stable Rosenbrock-W method.
- `ROS34PW2` - A 4th order stiffy accurate Rosenbrock-W method for PDAEs.
- `ROS34PW3` - A 4th order strongly A-stable (Rinf~0.63) Rosenbrock-W method.

- `ROS34PRw` - A 3nd order stiffly accurate Rosenbrock-Wanner W-method with 4 internal stages with B_PR consistent of order 2
- `ROS2S` - A 2nd order stiffly accurate Rosenbrock-Wanner W-method
with 3 internal stages with B_PR consistent of order 2 with Rinf=0.

#### Stabilized Explicit Methods

- `ROCK2` - Second order stabilized Runge-Kutta method. Exhibits high stability
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