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"Level set methods" as a book category encompasses texts that present the mathematical foundations, numerical techniques, implementation strategies, and applications of implicit-interface representations based on level set functions. These books typically cover theory (Hamilton–Jacobi and curvature-driven flows), discretization and stable numerical schemes (upwind, ENO/WENO, narrow-band methods, reinitialization), practical coding details and software, and a wide range of applications in fluid dynamics, multiphase flows, image processing and computer vision, materials science, and computer graphics. They range from introductory and tutorial treatments for graduate students and engineers to advanced monographs for researchers, often assuming a background in PDEs, numerical analysis, and scientific computing.

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