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	Li, Zhilin     Options: All Media Types Journals Proceedings Div Books Whole Books Other Date Reviewed Title Author Publisher Published Date Descending Ascending Date Reviewed     1 - 2 of 2 reviews       On an new algorithm for function approximation with full accuracy in the presence of discontinuities based on the immersed interface method Amat S., Li Z., Ruiz J. Journal of Scientific Computing 75(3): 1500-1534, 2018.  Type: Article Linear algorithms for the approximation of smooth functions are stable and convergent, but if the functions are piecewise continuous then we encounter diffusion and the Gibbs effect [1]....... Dec 6 2018     The immersed interface method: numerical solutions of PDEs involving interfaces and irregular domains (Frontiers in Applied Mathematics) Li Z., Ito K., Society for Industrial and Applied Mathematics, Philadelphia, PA, 2006. 331 pp.  Type: Book (9780898716092) In this excellent book, the authors address the topic of how to solve partial differential equations (PDEs) involving interfaces with jump conditions. They do this by applying regular grids and using the immersed interface method, expl...... Jun 19 2007
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