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alg_interpretation(alg::ImplicitRKMil{CS,AD,F,P,FDT,ST,CJ,N,T2,Controller,interpretation}) where {CS,AD,F,P,FDT,ST,CJ,N,T2,Controller,interpretation} = interpretation
SciMLBase.alg_interpretation(alg::ImplicitRKMil{CS,AD,F,P,FDT,ST,CJ,N,T2,Controller,interpretation}) where {CS,AD,F,P,FDT,ST,CJ,N,T2,Controller,interpretation} = interpretation
Kloeden, P.E., Platen, E., Numerical Solution of Stochastic Differential Equations.
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Springer. Berlin Heidelberg (2011)
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RKMilCommute: Nonstiff Method
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An explicit Runge-Kutta discretization of the strong order 1.0 Milstein method for commutative noise problems.
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Defaults to solving the Ito problem, but RKMilCommute(interpretation=:Stratonovich) makes it solve the Stratonovich problem.
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Defaults to solving the Ito problem, but RKMilCommute(interpretation=SciMLBase.AlgorithmInterpretation.Stratonovich) makes it solve the Stratonovich problem.
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Uses a 1.5/2.0 error estimate for adaptive time stepping.
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Default: ii_approx=IICommutative() does not approximate the Levy area.
@@ -160,13 +160,13 @@ struct WangLi3SMil_F <: StochasticDiffEqAlgorithm end
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"""
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SROCK1: S-ROCK Method
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Is a fixed step size stabilized explicit method for stiff problems.
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Defaults to solving th Ito problem but SROCK1(interpretation=:Stratonovich) can make it solve the Stratonovich problem.
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Defaults to solving th Ito problem but SROCK1(interpretation=SciMLBase.AlgorithmInterpretation.Stratonovich) can make it solve the Stratonovich problem.
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Strong order of convergence is 0.5 and weak order 1, but is optimised to get order 1 in case os scalar/diagonal noise.
This is a theta method which defaults to theta=1 or the Trapezoid method on the drift term.
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Defaults to solving the Ito problem, but ImplicitRKMil(interpretation=:Stratonovich) makes it solve the Stratonovich problem.
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Defaults to solving the Ito problem, but ImplicitRKMil(interpretation=SciMLBase.AlgorithmInterpretation.Stratonovich) makes it solve the Stratonovich problem.
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This method defaults to symplectic=false, but when true and theta=1/2 this is the implicit Midpoint method on the drift term and is symplectic in distribution.
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Handles diagonal and scalar noise. Uses a 1.5/2.0 heuristic for adaptive time stepping.
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