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The conjectured role of geometric structure preservation in standard finite element methods
Consider standard finite element methods and their invariantised counterparts for ordinary differential equations, where invariantisation modifies a discretisation to preserve Lie…
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The competitiveness of Lie point symmetry-preserving schemes in geometric numerical integration
Lie point symmetry-preserving schemes are numerical schemes for ordinary differential equations designed to preserve Lie point symmetries, while energy-preserving and symplectic me…