Computing Solution Operators of Boundary-value Problems for Some Linear Hyperbolic Systems of PDEs

@article{Selivanova2017ComputingSO,
  title={Computing Solution Operators of Boundary-value Problems for Some Linear Hyperbolic Systems of PDEs},
  author={S. Selivanova and V. Selivanov},
  journal={ArXiv},
  year={2017},
  volume={abs/1305.2494}
}
  • S. Selivanova, V. Selivanov
  • Published 2017
  • Mathematics, Computer Science
  • ArXiv
  • We discuss possibilities of application of Numerical Analysis methods to proving computability, in the sense of the TTE approach, of solution operators of boundary-value problems for systems of PDEs. We prove computability of the solution operator for a symmetric hyperbolic system with computable real coefficients and dissipative boundary conditions, and of the Cauchy problem for the same system (we also prove computable dependence on the coefficients) in a cube $Q\subseteq\mathbb R^m$. Such… CONTINUE READING
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