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The Chebfun team is pleased to announce the release of Chebfun V5.3 at http://www.chebfun.org. Chebfun is an open-source MATLAB package hosted on GitHub for numerical computing with functions in 1D and 2D. It is also a powerful and convenient tool for numerical solution of ODE initial- and boundary-value problems, as well as certain time-dependent PDEs in 1D, and a book about solution of ODEs in Chebfun is in preparation. New features in V5.3 include: - QUIVER for phase plane plots of chebops defining ODEs - FOLLOWPATH for pseudo-arclength continuation - Simplifications of ODE and PDE syntax - Faster algorithms for ODEs and PDEs - Redesign of chebfun constructor and removal of "epslevel" - EXPLAIN for a movie explaining low-rank chebfun2 construction - 'TURBO' for Chebyshev coefficients below the usual 1e-16 - PLOTREGION for estimated ellipses and strips of analyticity - Fast disrete Legendre transforms (LEGCOEFFS2LEGVALS etc.)

Details of these and other new features are in the extended release notes at http://www.chebfun.org. In 2016 we expect to release Chebfun3 for computation in 3D, SPHEREFUN for computation on spheres, and SPIN for fast solution of KdV and other stiff PDEs.

We hope you enjoy the new release. Feel free to contact us at help@chebfun.org if you have any questions or comments.

Source: README.md, updated 2015-11-26