On the sharp order of informativeness of all possible linear functionals in the discretization of solutions of the wave equation

DOI10.1134/S0012266110080148zbMath1206.35017OpenAlexW2076907590WikidataQ115252498 ScholiaQ115252498MaRDI QIDQ608956

Sh. K. Abikenova, Nurlan Temirgaliyev

Publication date: 29 November 2010

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266110080148

zbMATH Keywords

accuracy

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (3)

Optimal computing units in the problem of discretizing solutions of the Klein-Gordon equation and their limit errors ⋮ Discretization of solutions to a wave equation, numerical differentiation, and function recovery with the help of computer (computing) diameter ⋮ Exact orders of computational (numerical) diameters in problems of reconstructing functions and sampling solutions of the Klein-Gordon equation from Fourier coefficients

Cites Work

• Discretization of the solutions of the heat equation
• On the informative power of all possible linear functionals for the discretization of solutions of the Klein-Gordon equation in the metric of \(L ^{2,\infty}\)
• Informativeness of all the linear functionals in the recovery of functions in the classes $ H_p^\omega$

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