Shadowing for Nonautonomous Parabolic Problems with Applications to Long-Time Error Bounds

DOI10.1137/S0036142999351030zbMath0954.35099OpenAlexW2017601799MaRDI QIDQ4509640

Alexander Ostermann, César Palencia

Publication date: 19 October 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142999351030

zbMATH Keywords

Runge-Kutta methodsbackward Euler methodtime-dependent operatorabstract Banach space settingabstract parabolic problemsprabolic boundary value problemsuniformly sectional operators

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Error bounds for numerical methods for ordinary differential equations (65L70)

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