Discretization of solutions to a wave equation, numerical differentiation, and function recovery with the help of computer (computing) diameter

DOI10.3103/S1066369X13080094zbMath1284.65108OpenAlexW2072787945MaRDI QIDQ2439389

Sh. K. Abikenova, A. Zh. Zhubanysheva, G. E. Taugynbaeva, Nurlan Temirgaliyev

Publication date: 14 March 2014

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x13080094

zbMATH Keywords

numerical examplewave equationKlein-Gordon equationerror boundnumerical differentiationlimiting accuracyfunction recoverycomputer (computing) diameterdiscretization of solutions to differential equationsinformative cardinality of given set of functionalsoperator discretization

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with quantum mechanics (35Q40) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Algorithms for approximation of functions (65D15) Numerical differentiation (65D25)

Related Items (3)

The Radon transform in the scheme of C(N)D-investigations and the quasi-Monte Carlo theory ⋮ Informative cardinality of trigonometric Fourier coefficients and their limiting error in the discretization of a differentiation operator in multidimensional Sobolev classes ⋮ Computational (numerical) diameter in a context of general theory of a recovery

Cites Work

• On the sharp order of informativeness of all possible linear functionals in the discretization of solutions of the wave equation
• Best approximation of functions specified with an error at a finite number of points
• Optimal recovery of functions and their derivatives from Fourier coefficients prescribed with an error
• Unnamed Item

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