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math.NA2026
Spectral interpolation in semi-implicit semi-Lagrangian methods for shallow water equations on the sphere
Michael Chiwere, Daniel Fortunato, Grady B. Wright
Semi-implicit semi-Lagrangian (SISL) methods are commonly used for the shallow water equations (SWE) because they allow for larger time steps than those permitted by the Courant-Fr…
math.NA2025
A Semi-Lagrangian scheme on embedded manifolds using generalized local polynomial reproductions
Thomas Hangelbroek, Christian Rieger, Grady B. Wright
We analyze rates of uniform convergence for a class of high-order semi-Lagrangian schemes for first-order, time-dependent partial differential equations on embedded submanifolds of…