2 problems

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Convergence of odd-order immersed boundary kernels to the Fourier spectral kernel
Let $\delta_h^{(n)}$ be the finitely supported immersed boundary kernel uniquely determined by the immersed boundary conditions for odd positive integers $n$ , and let $\delta_h$ be…
Conjectureopenfourier-analysis immersed-boundary-methods numerical-analysisarXiv posted 2 days ago
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The IBDL conjecture on differential operators and numerical Green's functions
The immersed boundary double layer method uses spread and interpolation operators together with discrete differential operators for solving Brinkman and Stokes equations. In partic…
Conjectureopenimmersed-boundary-methods numerical-analysis numerical-pdesarXiv posted 2 days ago

Convergence of odd-order immersed boundary kernels to the Fourier spectral kernel