Jiri Benedikt, Jan Pulpan
Abstract:
We present a numerical algorithm for computing rigorous upper and lower estimates of the principal eigenvalue of the p-Laplacian.
To control all possible errors including the rounding errors of the
computer arithmetic, we use the interval arithmetic.
We implement our algorithm in the Julia programming language using
IntervalArithmetic.jl package [12].
Published March 27, 2023.
Math Subject Classifications: 34B09, 34B15, 65L15, 65G30.
Key Words: Quasilinear equation; p-Laplacian; principal eigenvalue;
interval arithmetic.
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Jirí Benedikt Department of Mathematics and NTIS Faculty of Applied Sciences University of West Bohemia Univerzitní 8, CZ-30100 Plzen, Czech Republic email: benedikt@kma.zcu.cz |
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Jan Pulpán Department of Mathematics and NTIS Faculty of Applied Sciences University of West Bohemia Univerzitní 8, CZ-30100 Plzen, Czech Republic email: honza@pulpan.net |
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