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Variational systems on the variational bicomplex

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GCS - Geometry, compatibility and structure preservation in computational differential equations

 It is well know that symplecticity plays a fundamentally important role in Lagrangian and Hamiltonian systems. Numerical methods preserving symplecticity (or multisymplecticity for PDEs) have been greatly developed and applied during last decades.  In this talk, we will show how the variational bicomplex, a double cochain complex on jet manifolds, provides a natural framework for understanding multisymplectic systems. The discrete counterpart, discrete multisymplectic systems on the difference variational bicomplex will briefly be introduced if time permits.

This talk is part of the Isaac Newton Institute Seminar Series series.

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