×

zbMATH — the first resource for mathematics

A note on the difference schemes for hyperbolic equations. (English) Zbl 1007.65064
The authors present some methods discrete in time for the hyperbolic equation \(d^2 u(t)/dt^2+ Au(t)= f(t)\), \(u(0)= \phi\), \(u'(0)= \psi\) in Hilbert space and find stability estimates.

MSC:
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L15 Initial value problems for second-order hyperbolic equations
34G10 Linear differential equations in abstract spaces
65J10 Numerical solutions to equations with linear operators (do not use 65Fxx)
PDF BibTeX XML Cite
Full Text: DOI EuDML