Model reduction of dynamical systems by proper orthogonal decomposition: error bounds and comparison of methods using snapshots from the solution and the time derivatives

DOI10.1016/j.cam.2017.09.001zbMath1376.65099OpenAlexW2754139061MaRDI QIDQ1675988

Tanya Kostova-Vassilevska, Geoffrey M. Oxberry

Publication date: 3 November 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1409976

zbMATH Keywords

numerical examplesproper orthogonal decompositionerror boundmodel reduction

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Control/observation systems governed by partial differential equations (93C20) System structure simplification (93B11)

Related Items (12)

A multiple timescale network model of intracellular calcium concentrations in coupled neurons: Insights from ROM simulations ⋮ Automatic proper orthogonal block decomposition method for network dynamical systems with multiple timescales ⋮ POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution ⋮ A new approach to proper orthogonal decomposition with difference quotients ⋮ New Proper Orthogonal Decomposition Approximation Theory for PDE Solution Data ⋮ Unnamed Item ⋮ Error analysis of an incremental proper orthogonal decomposition algorithm for PDE simulation data ⋮ Adaptive sampling and modal expansions in pattern-forming systems ⋮ Unnamed Item ⋮ A note on incremental POD algorithms for continuous time data ⋮ HDG-POD reduced order model of the heat equation ⋮ On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition

Uses Software

• libROM

Cites Work

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