Newton-conjugate-gradient methods for solitary wave computations

@article{Yang2009NewtonconjugategradientMF,
  title={Newton-conjugate-gradient methods for solitary wave computations},
  author={Jianke Yang},
  journal={J. Comput. Physics},
  year={2009},
  volume={228},
  pages={7007-7024}
}
In this paper, the Newton-conjugate-gradient methods are developed for solitary wave computations. These methods are based on Newton iterations, coupled with conjugategradient iterations to solve the resulting linear Newton-correction equation. When the linearization operator is self-adjoint, the preconditioned conjugate-gradient method is proposed to solve this linear equation. If the linearization operator is non-self-adjoint, the preconditioned biconjugate-gradient method is proposed to… CONTINUE READING

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