Continuous extensions to Nyström methods for second order initial value problems |
| |
Authors: | Arne Marthinsen |
| |
Institution: | (1) Department of Mathematical Sciences, Norwegian Institute of Technology, N-7034 Trondheim, Norway |
| |
Abstract: | In this work we consider interpolants for Nyström methods, i.e., methods for solving second order initial value problems. We give a short introduction to the theory behind the discrete methods, and extend some of the work to continuous, explicit Nyström methods. Interpolants for continuous, explicit Runge-Kutta methods have been intensively studied by several authors, but there has not been much effort devoted to continuous Nyström methods. We therefore extend some of the work by Owren. |
| |
Keywords: | Interpolants dense output Nyströ m methods Runge-Kutta methods second order initial value problems |
本文献已被 SpringerLink 等数据库收录! |
|