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DOE OSTI · 2582791

Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations

Ham, David (ORCID:0000000195459110)·Hapla, Vaclav·Knepley, Matthew (ORCID:0000000222920735)·Mitchell, Lawrence (ORCID:0000000180621453)·Sagiyama, Koki (ORCID:0000000155704951)
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Ham, David (ORCID:0000000195459110), Hapla, Vaclav, Knepley, Matthew (ORCID:0000000222920735), Mitchell, Lawrence (ORCID:0000000180621453), Sagiyama, Koki (ORCID:0000000155704951). 2024-11-21. Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations. https://doi.org/10.1137/23m1613724

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DOE OSTI2024

Global Magni4icence, or: 4G Networks

The global magnificent four theory is the homological version of a maximally supersymmetric $(8+1)$-dimensional gauge theory on a Calabi-Yau fourfold fibered over a circle. In the case of a toric fourfold we conjecture the formula for its twisted Witten index. String-theoretically we count the BPS states of a system of $D0$-$D2$-$D4$-$D6$-$D8$-branes on the Calabi-Yau fourfold in the presence of a large Neveu-Schwarz $B$-field. Mathematically, we develop the equivariant $K$-theoretic DT4 theory, by constructing the four-valent vertex with generic plane partition asymptotics. Physically, the vertex is a supersymmetric localization of a non-commutative gauge theory in $8+1$ dimensions.

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