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Merge pull request #733 from cwittens/patch-1
Added documentation for methods ROS2, ROS3, ROS2PR, ROS2S, ROS3PR, Sc…
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docs/src/solvers/ode_solve.md

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@@ -550,6 +550,25 @@ to be thread safe. It parallelizes the `nlsolve` calls inside the method.
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4th order interpolant.
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- `Rodas5P` - A 5th order A-stable stiffly stable Rosenbrock method with a stiff-aware
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4th order interpolant. Has improved stability in the adaptive time stepping embedding.
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- `ROS2` - A 2nd order L-stable Rosenbrock-Wanner method with 2 internal stages.
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- `ROS3` - A 3rd order L-stable Rosenbrock-Wanner method with 3 internal stages
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with an embedded strongly A-stable 2nd order method.
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- `ROS2PR` - A 2nd order stiffly accurate Rosenbrock-Wanner method with 3 internal stages with Rinf=0.
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For problems with medium stiffness the convergence behaviour is very poor
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and it is recommended to use `ROS2S` instead.
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- `ROS3PR` - A 3nd order stiffly accurate Rosenbrock-Wanner method
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with 3 internal stages and B_PR consistent of order 3, which is strongly A-stable with Rinf~=-0.73.
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- `Scholz47` - A 3nd order stiffly accurate Rosenbrock-Wanner method
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with 3 internal stages and B_PR consistent of order 3, which is strongly A-stable with Rinf~=-0.73.
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Convergence with order 4 for the stiff case, but has a poor accuracy.
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- `ROS3PRL` - A 3nd order stiffly accurate Rosenbrock-Wanner method with 4 internal stages
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with B_PR consistent of order 2 with Rinf=0. The order of convergence decreases if medium stiff problems
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are considered, but it has good results for very stiff cases.
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- `ROS3PRL2` - A 3nd order stiffly accurate Rosenbrock-Wanner method with 4 internal stages
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with B_PR consistent of order 3. The order of convergence does NOT decreases if
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medium stiff problems are considered as it does for ROS3PRL.
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#### Rosenbrock-W Methods
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- `ROS34PW1b` - A 4th order L-stable Rosenbrock-W method.
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- `ROS34PW2` - A 4th order stiffy accurate Rosenbrock-W method for PDAEs.
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- `ROS34PW3` - A 4th order strongly A-stable (Rinf~0.63) Rosenbrock-W method.
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- `ROS34PRw` - A 3nd order stiffly accurate Rosenbrock-Wanner W-method with 4 internal stages with B_PR consistent of order 2
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- `ROS2S` - A 2nd order stiffly accurate Rosenbrock-Wanner W-method
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with 3 internal stages with B_PR consistent of order 2 with Rinf=0.
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#### Stabilized Explicit Methods
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- `ROCK2` - Second order stabilized Runge-Kutta method. Exhibits high stability

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