Study of Complex Singularities by Filtered Spectral Method

@inproceedings{Kida1986StudyOC,
  title={Study of Complex Singularities by Filtered Spectral Method},
  author={Shigeo Kida},
  year={1986}
}
A filtered spectral method is proposed for the study of the distribution in the complex-space of singularities of solutions to partial differential equations. It is applied to the Burgers equation to trace the motion in the complex-space of the singularities close to the real axis in the processes of shock-formation and collision of two shocks. 

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