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docs/src/implicit/SDIRK.md
@@ -80,11 +80,26 @@ Kvaerno5
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### IMEX SDIRK
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+These methods support `SplitODEProblem` for implicit-explicit (IMEX) integration,
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+where the stiff part is treated implicitly and the non-stiff part is treated explicitly.
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+
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```@docs
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KenCarp4
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KenCarp47
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KenCarp5
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KenCarp58
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+```
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+### Higher-Order ESDIRK
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+Higher-order ESDIRK (Explicit first stage Singly Diagonally Implicit Runge-Kutta) methods.
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+These are high-order L-stable implicit methods where the first stage is explicit.
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+!!! note
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+ These methods do not support `SplitODEProblem`. For IMEX integration with split
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+ problems, use the KenCarp methods above instead.
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+```@docs
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ESDIRK54I8L2SA
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ESDIRK436L2SA2
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ESDIRK437L2SA
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