Index of numerical integrators

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Type

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Low-storage

SSP

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Implicit Euler

SSPRK43

RK4(3)5[2R+]C

Prince-Dormand 8(7)

Runge-Kutta-Chebyshev (5,2)

Lambert

Fehlberg RK5(4)6

Runge-Kutta-Chebyshev (5,1)

Euler extrapolation 6(5)

Forward Euler

Midpoint extrapolation 8(6)

Runge-Kutta-Chebyshev (20,1)

Runge-Kutta-Chebyshev (20,2)

LDDC4()6[2R]

SSPRK 33

Radau IIA2

Picard 4(3)

Picard 5(4)

5-step BDF

SSPRK(10,4)

2-step Adams-Bashforth

3-step Adams-Bashforth

4-step Adams-Bashforth

5-step Adams-Bashforth

SSPRK(4,2)

Classical RK4

Midpoint Runge-Kutta

DDAS4()7[2R]

SSPRK22star

Radau IIA3

Minimal Truncation Error 22

SSP 85

SSP 75

Bogacki-Shampine RK5(4)8

Calvo 6(5)

Lobatto IIIA2

SSPIRK43

Dormand-Prince RK5(4)7

Heun RK 33

Euler extrapolation 4(3)

RK5(4)9[2R+]C

3-step Adams-Moulton

2-step Adams-Moulton

5-step Adams-Moulton

4-step Adams-Moulton

RK5(4)8[3R+]C

SSP 95

Gauss-Legendre RK36

SSPRK93

Butcher's RK65

Lobatto IIIC3

4-step BDF

Midpoint extrapolation 4(2)

SSPIRK33

2-step BDF

3-step BDF

Midpoint extrapolation 6(4)

SSPRK 22

Lobatto IIIC4

Gauss-Legendre RK24

Lobatto IIIC2

Merson RK4(3)