# 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}
}```
• 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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