 ##  [Geometric Integration](/geometric-integration) 

  ##  [Geometric Integration](https://puremath.quantumdictionary.io/geometric-integration-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Numerical methods for integrating ordinary differential equations and flows that are designed to preserve qualitative geometric structures of the continuous system (for example symplectic form, first integrals, volume, or Lie group structure) rather than only minimizing local truncation error.