 ##  [Operator Splitting](/operator-splitting) 

  ##  [Operator Splitting](https://natural.quantumdictionary.io/operator-splitting-0) 

  

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



**Natural &amp; Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A numerical strategy to approximate the solution of an evolution equation generated by a sum of operators by sequentially applying the flows or solution operators of the individual parts over substeps.

 

 

 

 

 





 

 



 ##  [Operator Splitting](https://mathlogic.quantumdictionary.io/operator-splitting-1) 

  

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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A technique that decomposes a complex evolution operator into simpler suboperators which are applied sequentially (or in a composed order) over a time step to approximate the action of the full operator, often to exploit specialized solvers for each suboperator.