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math.CA2023
Error estimates for Gaussian beams at a fold caustic
Olivier Lafitte, Olof Runborg
In this work we show an error estimate for a first order Gaussian beam at a fold caustic, approximating time-harmonic waves governed by the Helmholtz equation. For the caustic that…
math.CA2015
Block-diagonalization of ODEs in the semiclassical limit and vs. stationary phase
Olivier Lafitte, Mark Williams, Kevin Zumbrun
Motivated by issues in detonation stability, we study existence of block-diagonalizing transformations for ordinary differential semiclassical limit problems arising in the study o…