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Geometric numerical integration (GNI) has developed over the past 25 years to address the disconnect between applied mathematicians, pure mathematicians, and numerical analysts in solving differential equations. GNI focuses on designing numerical methods that preserve the qualitative features of the underlying systems, such as conservation laws and symplecticity, which are crucial for accurate simulations. The article reviews the evolution of GNI, its major challenges, and emerging research directions as of

Author

sqtz26mxzt

Language

EN