SteadyStateDiffEq.jl

SteadyStateDiffEq.jl is the native Julia package for solving steady state problems within the SciML ecosystem. It provides methods for finding equilibrium solutions of differential equations.

Installation

SteadyStateDiffEq.jl is included with DifferentialEquations.jl. To use it standalone:

using Pkg
Pkg.add("SteadyStateDiffEq")
import SteadyStateDiffEq

Steady State Solver APIs

SteadyStateDiffEq.DynamicSS — Type

DynamicSS(alg = nothing; tspan = Inf)

Requires that an ODE algorithm is given as the first argument. The absolute and relative tolerances specify the termination conditions on the derivative's closeness to zero. This internally uses the TerminateSteadyState callback from the Callback Library. The simulated time for which given ODE is solved can be limited by tspan. If tspan is a number, it is equivalent to passing (zero(tspan), tspan).

Example usage:

using SteadyStateDiffEq, OrdinaryDiffEq
sol = solve(prob, DynamicSS(Tsit5()))

using Sundials
sol = solve(prob, DynamicSS(CVODE_BDF()); dt = 1.0)

Note

The default alg of nothing works only if DifferentialEquations.jl is installed and loaded.

Note

If you use CVODE_BDF you may need to give a starting dt via dt = .....

SteadyStateDiffEq.SSRootfind — Type

SSRootfind(alg = nothing)

Use a Nonlinear Solver to find the steady state. Requires that a nonlinear solver is given as the first argument.

Note

The default alg of nothing works only if NonlinearSolve.jl is installed and loaded.