Power boundedness in the maximum norm of stability matrices for ADI methods

DOI10.1007/s10543-021-00845-4zbMath1495.65133OpenAlexW3175269292MaRDI QIDQ2045166

D. Hernández-Abreu, S. González-Pinto, Ernst Hairer

Publication date: 12 August 2021

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-021-00845-4

zbMATH Keywords

stabilitytime integrationalternating direction implicit schemesmaximum normparabolic PDEspower boundedness

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (2)

A unified formulation of splitting-based implicit time integration schemes ⋮ Convergence in the maximum norm of ADI-type methods for parabolic problems

Uses Software

• Mathematica

Cites Work

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