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We prove global well-posedness for the half-wave map with S-2 target for small H-n/2 x Hn/2-1 initial data. We also prove the global well-posedness for the equation with H-2 target for small smooth B-2,1(n/2) x B-2,1(n/2-1) initial data. ...
Based on the spectral divide-and-conquer algorithm by Nakatsukasa and Higham [SIAM J. Sci. Comput., 35(3):A1325-A1349, 2013], we propose a new algorithm for computing all the eigenvalues and eigenvectors of a symmetric banded matrix with small bandwidth, w ...
Birth-and-death processes are widely used to model the development of biological populations. Although they are relatively simple models, their parameters can be challenging to estimate, as the likelihood can become numerically unstable when data arise fro ...