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Abstract:
Many partial differential equation models are based on certain physical laws or backgroud, such that the solutions intrinsically should satisfy the corresponding structure and properties, such as energy/mass conservation, energy dissipation and positiveness. It raises tremendous difficulties, and attention as well, to develop numerical schemes such that the numerical solutions preserve such structure and properties in the discrete level. In this session, we will gather experts in this field to discuss recent advances in developing structure and property preserving numerical schemes on approximating PDEs.
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