A general framework for algorithms that conserve angular momentum for single-body central-force problems is presented. It is shown that any family of momentum-conserving algorithms can have at most three free parameters, one of which may be used to ensure energy conservation (and hence will be confi
✦ LIBER ✦
A Higher Order Scheme for a Tangentially Stabilized Plane Curve Shortening Flow with a Driving Force
✍ Scribed by Balažovjech, Martin; Mikula, Karol
- Book ID
- 118187481
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2011
- Tongue
- English
- Weight
- 373 KB
- Volume
- 33
- Category
- Article
- ISSN
- 1064-8275
No coin nor oath required. For personal study only.
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## Abstract A new method for solution of the evolution of plane curves satisfying the geometric equation __v__=__β__(__x,k,ν__), where __v__ is the normal velocity, __k__ and __ν__ are the curvature and tangential angle of a plane curve Γ ⊂ ℝ^2^ at the point __x__∈Γ, is proposed. We derive a govern