Stability of Time-Stepping Methods for Abstract Time-Dependent Parabolic Problems

DOI10.1137/S0036142995283412zbMath0923.65027OpenAlexW2062782716MaRDI QIDQ4389162

Cesáreo González, César Palencia

Publication date: 12 May 1998

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

Full work available at URL: https://doi.org/10.1137/s0036142995283412

zbMATH Keywords

stabilityBanach spacesRunge-Kutta methodsvariable stepsizemultistep methodssectorial operatorstime-dependent parabolic problemsabstract nonautonomous parabolic problem

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) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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