SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Contributed Talk

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An iterative starting method for multistep methods and its impact on Hamiltonian systems

T. Norton

Abstract
Starting methods are used to obtain the inputs for multistep methods. For linear multistep methods, inputs are sufficiently accurate solution approximations over several time-steps. For general linear methods, inputs of greater complexity may be required. In either case, a poorly constructed starting method can render the multistep method useless. In this talk, we introduce an iterative starting method that approximates the ideal starting method to arbitrary accuracy and investigate the impact of such an initialisation on several Hamiltonian problems.

Organized by         Universidad de Valladolid     IMUVA