Multi-block simulations in general relativity: high-order discretizations, numerical stability and applications

@inproceedings{Lehner2005MultiblockSI,
  title={Multi-block simulations in general relativity: high-order discretizations, numerical stability and applications},
  author={Luis Lehner and Oscar A. Reula and Manuel Tiglio},
  year={2005}
}
The need to smoothly cover a computational domain of interest generically requires the adoption of several grids. To solve a given problem under this grid structure, one must ensure the suitable transfer of information among the different grids involved. In this work, we discuss a technique that allows one to construct finite-difference schemes of arbitrary high order which are guaranteed to satisfy linear numerical and strict stability. The method relies on the use of difference operators… CONTINUE READING

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