Simplified L ∞ Estimates for Difference Schemes for Partial Differential Equations

DOI10.2307/2044455zbMath0497.65049OpenAlexW4236600000MaRDI QIDQ3962439

William J. Layton

Publication date: 1982

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2044455

zbMATH Keywords

convergence ratesoptimal orders of convergenceFourier inversionpointwise error1-step difference scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for linear first-order PDEs (35F10)

Related Items (4)

Error Estimates for Finite Difference Approximations to Hyperbolic Equations for Large Time ⋮ Discretization of multipole sources in a finite difference setting for wave propagation problems ⋮ The finite element method for a degenerate hyperbolic partial differential equation ⋮ On the behavior over long time intervals of finite difference and finite element approximations to first order hyperbolic systems

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