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- W2963670659 abstract "In this paper we propose new methods of interpretation and verification of interval solutions obtained using interval parametric integral equations systems (interval PIES). These strategies concern the examples with the analytical solutions as well as more sophisticated examples. To obtain errors of precisely defined solutions (for comparison with interval ones), we base on well known methods of errors calculation. All of considered boundary value problems examples are described by Laplace’s equation. For modeling the uncertainty of boundary value problems we propose the modified directed interval arithmetic, which was previously applied in mentioned interval PIES method." @default.
- W2963670659 created "2019-07-30" @default.
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- W2963670659 date "2019-01-01" @default.
- W2963670659 modified "2023-10-14" @default.
- W2963670659 title "Verification of interval PIES solutions on examples of uncertainly defined boundary value problems modeled by Laplace’s equation" @default.
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- W2963670659 doi "https://doi.org/10.1063/1.5114475" @default.
- W2963670659 hasPublicationYear "2019" @default.
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