Second order error bounds for POD-ROM methods based on first order divided differences

DOI10.1016/j.aml.2023.108836arXiv2306.03550OpenAlexW4385973349MaRDI QIDQ6052221

Bosco García-Archilla, Volker John, Julia Novo

Publication date: 21 September 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.03550

zbMATH Keywords

heat equationpointwise error estimatesBDF2POD-ROM methods

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx)

Cites Work

• A new approach to proper orthogonal decomposition with difference quotients
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
• On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition
• Error Analysis of Proper Orthogonal Decomposition Stabilized Methods for Incompressible Flows
• Galerkin Finite Element Methods for Parabolic Problems
• Galerkin proper orthogonal decomposition methods for parabolic problems
• POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution

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