output
19992022
most citedSolving high-dimensional partial differential equations using deep learning

1.8k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2011 · math.NAShow all

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math.NA2011★ 69 cited

ENO reconstruction and ENO interpolation are stable

Ulrik S. Fjordholm, Siddhartha Mishra, Eitan Tadmor

We prove stability estimates for the ENO reconstruction and ENO interpolation procedures. In particular, we show that the jump of the reconstructed ENO pointvalues at each cell int…

math.NA2011★ 45 cited

Entropy Stable Numerical Schemes for Two-Fluid Plasma Equations

Harish Kumar, Siddhartha Mishra

Two-fluid ideal plasma equations are a generalized form of the ideal MHD equations in which electrons and ions are considered as separate species. The design of efficient numerical…