Geometrization of symplecticity conditions for implicit schemes
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🧮 math.SG
cs.NAmath-phmath.MPmath.NA
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conditionsimplicitsymplecticitygivemapsschemessymplecticadditionally
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In this note we give simple symplecticity conditions for implicit schemes in the linear case. We consider implicit maps on generic symplectic manifold and we introduce the concept of consistent implicit maps, to generalize the symplecticity conditions to symplectic manifolds. Additionally, we give a preliminary geometrical interpretation of those conditions.
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