##  [Implicit–Explicit Time Stepping (IMEX)](/index.php/implicit-explicit-time-stepping-imex) 

  ##  [Implicit–Explicit Time Stepping (IMEX)](https://natural.quantumdictionary.io/implicit-explicit-time-stepping-imex-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/index.php/topic-specific-dictionaries/natural-formal-sciences)



**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A class of numerical time-integration schemes that treat stiff terms implicitly and nonstiff terms explicitly within a single step, combining stability advantages for stiff components with lower cost for nonstiff components.