Numerical analysis of very weakly well-posed hyperbolic Cauchy problems

DOI10.1093/imanum/dru025zbMath1350.65087OpenAlexW2143524605MaRDI QIDQ2944212

Ferruccio Colombini, Jeffrey Rauch

Publication date: 28 August 2015

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/dru025

zbMATH Keywords

stabilityGevrey classhyperbolic problemsCauchy problemsvariable coefficientswave-type equationweakly well-posed problemFourier series truncationspectral leapfrog scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order hyperbolic equations (35L15)

Related Items

A discrete algorithm for general weakly hyperbolic systems, On the energy estimates of semi-discrete wave equations with time dependent propagation speed