3 problems

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Conjecture on error cancellation after a full rotation in the CCSL method
Consider the conservative cascade semi-Lagrangian method applied to the two-dimensional linear transport equation … with divergence-free velocity field $\mathbf{a}=(a_1,a_2)$ . In t…
Conjectureopennumerical-error-analysis semi-lagrangian-methods transport-equationsarXiv posted 2 days ago
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Extension of one-dimensional error estimates to spatially variable wave speeds
Error-estimate extension conjecture. In one dimension, the error estimates for spatially independent wave-speed functions carry over to the spatially variable case up to terms of s…
Conjectureopenmultigrid numerical-analysis semi-lagrangian-methodsarXiv posted 2 days ago
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Error-averaging conjecture for discontinuous Galerkin semi-Lagrangian schemes
The semi-Lagrangian method advances a solution through repeated time steps, using either a discontinuous Galerkin scheme or interpolation methods such as Lagrange and spline interp…
Conjectureopendiscontinuous-galerkin-methods numerical-error-analysis semi-lagrangian-methodsarXiv posted 2 days ago

Conjecture on error cancellation after a full rotation in the CCSL method