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Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.07.025
Abstract: Abstract This paper is mainly concerned with developing and establishing the reduced-order extrapolated format about the unknown coefficient vectors in numerical solutions to the finite element (FE) method for the hyperbolic type equation. To this…
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Keywords:
reduced order;
hyperbolic type;
order extrapolated;
type equation ... See more keywords
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Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/abf3ea
Abstract: In the article differential-difference (semi-discrete) lattices of hyperbolic type are investigated from the integrability viewpoint. More precisely we concentrate on a method for constructing generalized symmetries. This kind integrable lattices admit two hierarchies of generalized…
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Keywords:
semi discrete;
integrability;
equation;
hyperbolic type ... See more keywords
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Published in 2021 at "Differential Equations"
DOI: 10.1134/s0012266121080085
Abstract: We study an initial–boundary value problem for an equation of the mixed parabolic-hyperbolic type in a rectangular parallelepiped. A uniqueness criterion is established. The solution is constructed in the form of a series in an…
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Keywords:
initial boundary;
value problem;
boundary value;
hyperbolic type ... See more keywords
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Published in 2020 at "Regular and Chaotic Dynamics"
DOI: 10.1134/s1560354720060088
Abstract: It is known that under Kolmogorov’s nondegeneracy condition, the nondegenerate hyperbolic invariant torus with Diophantine frequencies will persist under small perturbations, meaning that the perturbed system still has an invariant torus with prescribed frequencies. However,…
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Keywords:
prescribed frequencies;
lower dimensional;
hyperbolic type;
type degenerate ... See more keywords