×

zbMATH — the first resource for mathematics

On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations. (English) Zbl 0795.65063
From the author’s summary: Convergence estimates in terms of the data are shown for multistep methods applied to non-homogeneous linear initial- boundary value problems. Similar error bounds are derived for a new class of time-discrete and fully discrete approximation schemes for boundary integral equations of such problems, e.g. for the single-layer potential equation or the wave equation.

MSC:
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
65N38 Boundary element methods for boundary value problems involving PDEs
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35L05 Wave equation
PDF BibTeX XML Cite
Full Text: DOI