feat: add for ImplicitDiscreteProblem

Author: vyudu

lib/SimpleImplicitDiscreteSolve/src/SimpleImplicitDiscreteSolve.jl

@@ -4,7 +4,7 @@ using SciMLBase
 using SimpleNonlinearSolve
 using UnPack
 using SymbolicIndexingInterface: parameter_symbols
-import OrdinaryDiffEqCore: OrdinaryDiffEqAlgorithm, alg_cache, OrdinaryDiffEqMutableCache, OrdinaryDiffEqConstantCache, get_fsalfirstlast, isfsal, initialize!, perform_step!, isdiscretecache, isdiscretealg, alg_order, beta2_default, beta1_default, dt_required
+import OrdinaryDiffEqCore: OrdinaryDiffEqAlgorithm, alg_cache, OrdinaryDiffEqMutableCache, OrdinaryDiffEqConstantCache, get_fsalfirstlast, isfsal, initialize!, perform_step!, isdiscretecache, isdiscretealg, alg_order, beta2_default, beta1_default, dt_required, _initialize_dae!, DefaultInit, BrownFullBasicInit, OverrideInit
 
 using Reexport
 @reexport using DiffEqBase

lib/SimpleImplicitDiscreteSolve/src/alg_utils.jl

@@ -18,7 +18,7 @@ beta1_default(alg::SimpleIDSolve, beta2) = 0
 dt_required(alg::SimpleIDSolve) = false
 isdiscretealg(alg::SimpleIDSolve) = true
 
-function DiffEqBase._initialize_dae!(integrator, prob::ImplicitDiscreteProblem,
+function _initialize_dae!(integrator, prob::ImplicitDiscreteProblem,
         alg::DefaultInit, x::Union{Val{true}, Val{false}})
     atol = one(eltype(prob.u0)) * 1e-12
     if SciMLBase.has_initializeprob(prob.f)