Docs

docs/src/api-reference/solver.md

@@ -38,7 +38,5 @@ Thunderbolt.OS.OperatorSplittingIntegrator
 ## Operator Splitting Adaptivity
 
 ```@docs
-Thunderbolt.AdaptiveOperatorSplittingAlgorithm
 Thunderbolt.ReactionTangentController
-Thunderbolt.get_reaction_tangent
 ```

docs/src/assets/references.bib

@@ -280,11 +280,11 @@ @article{PotDubRicVinGul:2006:cmb
 }
 @article{OgiBalPer:2023:seats,
 author = {Ogiermann, Dennis and Perotti, Luigi E. and Balzani, Daniel},
-title = {A simple and efficient adaptive time stepping technique for low-order operator splitting schemes applied to cardiac electrophysiology},
 journal = {International Journal for Numerical Methods in Biomedical Engineering},
+title = {A simple and efficient adaptive time stepping technique for low-order operator splitting schemes applied to cardiac electrophysiology},
+year = {2023}
 volume = {39},
 number = {2},
 pages = {e3670},
-url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/cnm.3670},
-year = {2023}
+doi = {https://doi.org/10.1002/cnm.3670},
 }

src/solver/adaptivity.jl

@@ -4,6 +4,10 @@ abstract type AbstractTimeAdaptionAlgorithm end
     ReactionTangentController{T <: Real} <: OS.AbstractOperatorSplittingAlgorithm
 A timestep length controller for [`LieTrotterGodunov`](@ref) [Lie:1880:tti,Tro:1959:psg,God:1959:dmn](@cite)
 operator splitting using the reaction tangent as proposed in [OgiBalPer:2023:seats](@cite)
+The next timestep length is calculated as
+```math
+\\sigma\\left(R_{\\max }\\right):=\\left(1.0-\\frac{1}{1+\\exp \\left(\\left(\\sigma_{\\mathrm{c}}-R_{\\max }\\right) \\cdot \\sigma_{\\mathrm{s}}\\right)}\\right) \\cdot\\left(\\Delta t_{\\max }-\\Delta t_{\\min }\\right)+\\Delta t_{\\min }
+```
 # Fields
 - `σ_s::T`: steepness
 - `σ_c::T`: offset in R axis