Sethian, J. A. Adaptive fast marching and level set methods for propagating interfaces. (English) Zbl 0930.65099 Acta Math. Univ. Comen., New Ser. 67, No. 1, 3-15 (1998). Summary: Adaptivity provides a way to construct optimal algorithms for tracking moving interfaces which arise in a wide collection of physical applications. Here, we summarize the development and interconnection between narrow band level set methods and fast marching methods, which provide efficient techniques for tracking fronts. We end with a small collection of examples to demonstrate the applicability of the techniques. Cited in 23 Documents MSC: 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 35R35 Free boundary problems for PDEs 35L60 First-order nonlinear hyperbolic equations Keywords:upwind schemes; finite difference method; optimal algorithms; moving interfaces; narrow band level set methods; fast marching methods PDFBibTeX XMLCite \textit{J. A. Sethian}, Acta Math. Univ. Comen., New Ser. 67, No. 1, 3--15 (1998; Zbl 0930.65099) Full Text: EuDML EMIS