  Nonlinear string vibration, in particular the case of nonplanar motion, has
been an area of intense study for many years. Numerical simulation methods,
essential for the comparison between measured data and theory, have received
somewhat less attention. In this article, various numerical schemes for
nonlinear nonplanar string dynamics are presented, with an emphasis on discrete
conservation of energy and angular momentum. Simple numerical stability
conditions may be arrived at, even under strongly nonlinear conditions, by
employing these conservation properties. Full implementation details and
various numerical examples are presented, and several topics, including a
discussion of numerical loss models and spectral methods, are dealt with in the
Appendix.

Analysis of PDEs;Numerical Analysis