Convergence of a semi-discrete scheme for the curve shortening flow. (English) Zbl 0811.65112

Dziuk, Gerhard

Math. Models Methods Appl. Sci. 4, No. 4, 589-606 (1994).

MSC:

65Z05	Applications to the sciences
65M20	Method of lines for initial value and initial-boundary value problems involving PDEs
65M06	Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
37C80	Symmetries, equivariant dynamical systems (MSC2010)
35K15	Initial value problems for second-order parabolic equations

Keywords:

semidiscretization; finite difference method; convergence; curvature flow