• DOI:10.23638/LMCS-13(4:13)2017
Corpus ID: 6276592

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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