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"Fast marching methods" as a book category covers texts focused on numerical algorithms and theory for simulating and computing advancing fronts and distance functions, especially solutions of the Eikonal equation and related Hamilton–Jacobi PDEs. Books in this category typically blend mathematical foundations (consistency, stability, convergence), algorithmic design (upwind schemes, narrow-band and ordered-upwind variants), and practical implementation details (grids, meshes, complexity, data structures). They emphasize a range of applications—robotics and path planning, level-set and interface tracking, seismology and wavefront arrival times, medical imaging and surface reconstruction, and computational geometry—often including case studies, code samples, and performance comparisons. Intended readers include applied mathematicians, computational scientists, engineers and advanced students who need both the theoretical background and hands-on guidance to apply fast marching techniques in research or real-world systems.

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