Elastic curves on the sphere
Copyright policy )Elastic curves on the sphere
When elastic curves on the sphere are treated by standard Runge-Kutta methods, some invariants are no more invariants. The authors modify the equations and apply an appropriate integration method. A classification of the fundamental forms of the curves is presented which refers to Jacobi's elliptic functions.
- Arizona State University United States
- Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau Germany
integration method, Runge-Kutta methods, Elliptic functions and integrals, Jacobi's elliptic functions, elastic curves, Symmetries, equivariant dynamical systems, invariants, Stability and convergence of numerical methods for ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations
integration method, Runge-Kutta methods, Elliptic functions and integrals, Jacobi's elliptic functions, elastic curves, Symmetries, equivariant dynamical systems, invariants, Stability and convergence of numerical methods for ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations
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