Estimates Away From a Discontinuity for Dissipative Galerkin Methods for Hyperbolic Equations

DOI10.2307/2007727zbMath0471.65067OpenAlexW4233849252MaRDI QIDQ3925115

William J. Layton

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2007727

zbMATH Keywords

estimatesdiscontinuous solutionsjump discontinuitydissipative Galerkin method

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) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (1)

High-accuracy finite-element methods for positive symmetric systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cardinal interpolation and spline functions. II: Interpolation of data of power growth
• Inversion of Toeplitz matrices
• Convergence Estimates for Galerkin Methods for Variable Coefficient Initial Value Problems
• Two Methods of Galerkin Type Achieving Optimum $L^2 $ Rates of Convergence for First Order Hyperbolics
• A Modified Galerkin Procedure with Hermite Cubics for Hyperbolic Problems
• The Rate of Convergence of Some Difference Schemes
• On Difference Schemes for Hyperbolic Equations with Discontinuous Initial Values
• Stability and Convergence Rates in $L^p$ for Certain Difference Schemes.
• Estimates Near Discontinuities for Some Difference Schemes.

This page was built for publication: Estimates Away From a Discontinuity for Dissipative Galerkin Methods for Hyperbolic Equations