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Recovery of an Initial Condition from Later Time Samples

  • Roza Aceska,
  • Yeon Hyang Kim,
  • Hiruni Pallage

摘要

We present a model for a time-variant system approximated from discrete measurements made at later times, as the initial conditions are not fully known. This framework combines spatiotemporal samples to produce various states of approximations and eventually reconstructs the solution exactly. Our model covers multiple initial value problems under the assumption that the initial conditions function is in a select function class.