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Add initial IMEX Runge-Kutta solvers (SSP and BHR schemes) #3341

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Add initial IMEX Runge-Kutta solvers (SSP and BHR schemes) #3341

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d8cc273
Add initial IMEX Runge-Kutta solvers (SSP and BHR schemes)
Apr 4, 2026
bebc563
Add IMEX Runge-Kutta solvers (ARS, SSP, BHR) with ESDIRK implicit str…
Apr 5, 2026
0a53fae
Add IMEX RK solvers implementation (tableaus, perform_step, caches)
Apr 8, 2026
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2 changes: 2 additions & 0 deletions lib/OrdinaryDiffEqCore/src/algorithms.jl
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Expand Up @@ -45,6 +45,8 @@ abstract type OrdinaryDiffEqImplicitAlgorithm{CS, AD, FDT, ST, CJ} <:
OrdinaryDiffEqAlgorithm end
abstract type OrdinaryDiffEqNewtonAlgorithm{CS, AD, FDT, ST, CJ} <:
OrdinaryDiffEqImplicitAlgorithm{CS, AD, FDT, ST, CJ} end
abstract type OrdinaryDiffEqNewtonESDIRKAlgorithm{CS, AD, FDT, ST, CJ} <:
OrdinaryDiffEqNewtonAlgorithm{CS, AD, FDT, ST, CJ} end
abstract type OrdinaryDiffEqRosenbrockAlgorithm{CS, AD, FDT, ST, CJ} <:
OrdinaryDiffEqImplicitAlgorithm{CS, AD, FDT, ST, CJ} end
const NewtonAlgorithm = Union{
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6 changes: 5 additions & 1 deletion lib/OrdinaryDiffEqSDIRK/src/OrdinaryDiffEqSDIRK.jl
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Expand Up @@ -7,6 +7,7 @@ import OrdinaryDiffEqCore: alg_order, calculate_residuals!,
OrdinaryDiffEqMutableCache, OrdinaryDiffEqConstantCache,
OrdinaryDiffEqNewtonAdaptiveAlgorithm,
OrdinaryDiffEqNewtonAlgorithm,
OrdinaryDiffEqNewtonESDIRKAlgorithm,
DEFAULT_PRECS,
OrdinaryDiffEqAdaptiveAlgorithm, CompiledFloats, uses_uprev,
alg_cache, _vec, _reshape, @cache, isfsal, full_cache,
Expand Down Expand Up @@ -37,13 +38,16 @@ include("kencarp_kvaerno_caches.jl")
include("sdirk_perform_step.jl")
include("kencarp_kvaerno_perform_step.jl")
include("sdirk_tableaus.jl")
include("imex_tableaus.jl")
include("generic_imex_perform_step.jl")

export ImplicitEuler, ImplicitMidpoint, Trapezoid, TRBDF2, SDIRK2, SDIRK22,
Kvaerno3, KenCarp3, Cash4, Hairer4, Hairer42, SSPSDIRK2, Kvaerno4,
Kvaerno5, KenCarp4, KenCarp47, KenCarp5, KenCarp58, ESDIRK54I8L2SA, SFSDIRK4,
SFSDIRK5, CFNLIRK3, SFSDIRK6, SFSDIRK7, SFSDIRK8, Kvaerno5, KenCarp4, KenCarp5,
SFSDIRK4, SFSDIRK5, CFNLIRK3, SFSDIRK6,
SFSDIRK7, SFSDIRK8, ESDIRK436L2SA2, ESDIRK437L2SA, ESDIRK547L2SA2, ESDIRK659L2SA
SFSDIRK7, SFSDIRK8, ESDIRK436L2SA2, ESDIRK437L2SA, ESDIRK547L2SA2, ESDIRK659L2SA,
IMEXSSP222, IMEXSSP2322, IMEXSSP3332, IMEXSSP3433

import PrecompileTools
import Preferences
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24 changes: 24 additions & 0 deletions lib/OrdinaryDiffEqSDIRK/src/alg_utils.jl
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Expand Up @@ -51,9 +51,33 @@ ssp_coefficient(alg::SSPSDIRK2) = 4

isesdirk(alg::TRBDF2) = true

isesdirk(alg::ARS222) = true
isesdirk(alg::ARS232) = true
isesdirk(alg::ARS443) = true
isesdirk(alg::BHR553) = true

issplit(alg::KenCarp3) = true
issplit(alg::KenCarp4) = true
issplit(alg::KenCarp47) = true
issplit(alg::KenCarp5) = true
issplit(alg::KenCarp58) = true
issplit(alg::CFNLIRK3) = true
issplit(alg::IMEXSSP222) = true
issplit(alg::IMEXSSP2322) = true
issplit(alg::IMEXSSP3332) = true
issplit(alg::IMEXSSP3433) = true

issplit(alg::ARS222) = true
issplit(alg::ARS232) = true
issplit(alg::ARS443) = true
issplit(alg::BHR553) = true

alg_order(alg::IMEXSSP222) = 2
alg_order(alg::IMEXSSP2322) = 2
alg_order(alg::IMEXSSP3332) = 2
alg_order(alg::IMEXSSP3433) = 3

alg_order(alg::ARS222) = 2
alg_order(alg::ARS232) = 2
alg_order(alg::ARS443) = 3
alg_order(alg::BHR553) = 3
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