Runge-Kutta-Nyström methods for hyperbolic problems with time-dependent coefficients

✍ Scribed by O.A. Karakashian

• Publisher: Elsevier Science
• Year: 1987
• Tongue: English
• Weight: 863 KB
• Volume: 13
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(87)90164-7

✦ Synopsis

A~traet--Galerkin fully discrete approximations for hyperbolic equations with time-dependent coefficients are analyzed. The schemes are based on implicit Runge-Kutta-Nystr6m methods, and are coupled with preconditioned iterative methods for the efficient, albeit approximate, solution of the resulting linear systems. Arbitrarily high-order, both conditionally and unconditionally stable methods are considered. In addition, it is shown that a specific class of methods exhibit parallel features that can be exploited to reduce the final execution time to that of a low-order method.