Evolution of inelastic plane curves

A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion

“…In the previous Section, we have introduced various implicit schemes based on operator splitting, including the explicit scheme (18), the backward Euler scheme (28), the Crank-Nicolson scheme (33) and also two schemes based on Strang splitting (36) and (37). It is also desirable to develop a Crank-Nicolson scheme with no operator splitting, e.g.…”

Inextensible flow of a semi-real quaternionic curve in semi-euclidean space R42

“…Also, the time evolution of curve can be treated as ‡ow of curve. [3,4]. Inextensible ‡ows of curves were investigated by according to Darboux frame in R 3 [9] and were examined in Lie Group [10].…”

A study of the inextensible flows of tube-like surfaces associated with focal curves in Galilean 3-space G₃

“…Many authors have studied geometric flow problems. In [9,10] Kwon et al studied inextensible flows of curves and developable surface in R 3 . Korpinar et al [8] studied inextensible flows of developable surfaces associated focal curve of helices in Euclidean 3-space E 3 .…”