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- W7630107 abstract "In this chapter we discuss numerical methods for the solution of general Hamilton-Jacobi equations of the form (5.1) $${phi _t} + Hleft( {nabla phi } right) = 0$$ where H can be a function of both space and time. In three spatial dimensions, we can write (5.2) $${phi _t} + Hleft( {{phi _x},{phi _y},{phi _z}} right) = 0$$ as an expanded version of equation (5.1). Convection in an externally generated velocity field (equation (3.2)) is an example of a Hamilton-Jacobi equation where H(∇φ) = 0056;↦ ·∇φ. The level set equation (equation (4.4)) is another example of a Hamilton-Jacobi equation with H(∇φ) = V n |∇φ| Here V n can depend on 0078;↦, t, or even ∇φ /|∇φ|." @default.
- W7630107 created "2016-06-24" @default.
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- W7630107 date "2003-01-01" @default.
- W7630107 modified "2023-09-23" @default.
- W7630107 title "Hamilton-Jacobi Equations" @default.
- W7630107 doi "https://doi.org/10.1007/0-387-22746-6_5" @default.
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