Propagation of error into regions of smoothness for non-linear approximations to hyperbolic equations

DOI10.1016/0045-7825(90)90014-DzbMath0728.65082OpenAlexW1982563912MaRDI QIDQ805180

Rosa Donat, Stanley J. Osher

Publication date: 1990

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(90)90014-d

zbMATH Keywords

error propagationhyperbolic equationsessentially non oscillatory schemesregions of smoothness

Mathematics Subject Classification ID

Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45)

Related Items

Accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations, A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov, On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems, On sub-linear convergence for linearly degenerate waves in capturing schemes, High-order discontinuous Galerkin methods for coastal hydrodynamics applications, A level-set algorithm for tracking discontinuities in hyperbolic conservation laws. I: Scalar equations, Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points

Cites Work

• Unnamed Item
• An artificial compression method for ENO schemes: The slope modification method
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations
• The computation of discontinuous solutions of linear hyperbolic equations
• The Fourier Method for Nonsmooth Initial Data