Stability and Regularization of Three-Level Difference Schemes with Unbounded Operator Coefficients in Banach Spaces

DOI10.1137/S0036142999357221zbMath1002.65101OpenAlexW2043432681MaRDI QIDQ2719231

Ivan P. Gavrilyuk, Volodymyr L. Makarov, A. A. Samarskij

Publication date: 21 June 2001

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

Full work available at URL: https://doi.org/10.1137/s0036142999357221

zbMATH Keywords

regularizationBanach spaceunbounded operator coefficientsabstract Cauchy problemsthree-level difference schemes\(\rho\)-stabilitysecond-order evolution differential equationsstrongly P-positive operators

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) 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) Numerical solutions to equations with linear operators (65J10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Linear differential equations in abstract spaces (34G10)

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