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ChrisRackauckas committed Jul 7, 2017
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Expand Up @@ -90,31 +90,31 @@ and thus are recommended for stiff problems on non-Float64 numbers.

### Runge-Kutta Methods for Non-Stiff Equations

- `Euler`- The canonical forward Euler method.
- `Midpoint` - The second order midpoint method.
- `RK4` - The canonical Runge-Kutta Order 4 method.
- `BS3` - Bogacki-Shampine 3/2 method.
- `DP5` - Dormand-Prince's 5/4 Runge-Kutta method. (free 4th order interpolant)
- `Tsit5` - Tsitouras 5/4 Runge-Kutta method. (free 4th order interpolant)
- `BS5` - Bogacki-Shampine 5/4 Runge-Kutta method. (5th order interpolant)
- `Vern6` - Verner's "Most Efficient" 6/5 Runge-Kutta method. (6th order interpolant)
- `Vern7` - Verner's "Most Efficient" 7/6 Runge-Kutta method. (7th order interpolant)
- `TanYam7` - Tanaka-Yamashita 7 Runge-Kutta method.
- `DP8` - Hairer's 8/5/3 adaption of the Dormand-Prince 8
- `Euler`- The canonical forward Euler method.
- `Midpoint` - The second order midpoint method.
- `RK4` - The canonical Runge-Kutta Order 4 method.
- `BS3` - Bogacki-Shampine 3/2 method.
- `DP5` - Dormand-Prince's 5/4 Runge-Kutta method. (free 4th order interpolant)
- `Tsit5` - Tsitouras 5/4 Runge-Kutta method. (free 4th order interpolant)
- `BS5` - Bogacki-Shampine 5/4 Runge-Kutta method. (5th order interpolant)
- `Vern6` - Verner's "Most Efficient" 6/5 Runge-Kutta method. (6th order interpolant)
- `Vern7` - Verner's "Most Efficient" 7/6 Runge-Kutta method. (7th order interpolant)
- `TanYam7` - Tanaka-Yamashita 7 Runge-Kutta method.
- `DP8` - Hairer's 8/5/3 adaption of the Dormand-Prince 8
method Runge-Kutta method. (7th order interpolant)
- `TsitPap8` - Tsitouras-Papakostas 8/7 Runge-Kutta method.
- `Vern8` - Verner's "Most Efficient" 8/7 Runge-Kutta method. (8th order interpolant)
- `Vern9` - Verner's "Most Efficient" 9/8 Runge-Kutta method. (9th order interpolant)
- `Feagin10` - Feagin's 10th-order Runge-Kutta method.
- `Feagin12` - Feagin's 12th-order Runge-Kutta method.
- `Feagin14` - Feagin's 14th-order Runge-Kutta method.
- `TsitPap8` - Tsitouras-Papakostas 8/7 Runge-Kutta method.
- `Vern8` - Verner's "Most Efficient" 8/7 Runge-Kutta method. (8th order interpolant)
- `Vern9` - Verner's "Most Efficient" 9/8 Runge-Kutta method. (9th order interpolant)
- `Feagin10` - Feagin's 10th-order Runge-Kutta method.
- `Feagin12` - Feagin's 12th-order Runge-Kutta method.
- `Feagin14` - Feagin's 14th-order Runge-Kutta method.

Example usage:
Example usage:

```julia
alg = Tsit5()
solve(prob,alg)
```
```julia
alg = Tsit5()
solve(prob,alg)
```

### Strong-Stability Presurving Runge-Kutta Methods for Hyperbolic PDEs (Conservation Laws)

Expand Down Expand Up @@ -174,6 +174,7 @@ solver which is used:
- `Rodas4`
- `Rodas42`
- `Rodas4P`
- `Rodas5`

For more information on specifying the linear solver, see
[the manual page on solver specification](../features/linear_nonlinear.html).
Expand Down Expand Up @@ -203,6 +204,7 @@ Additionally, the following methods have extra differentiation controls:
- `Rodas4`
- `Rodas42`
- `Rodas4P`
- `Rodas5`
- `ImplicitEuler`
- `Trapezoid`

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