The Effect of Problem Perturbations on Nonlinear Dynamical Systems and their Reduced-Order Models

DOI10.1137/050625278zbMath1154.65345OpenAlexW2011383376MaRDI QIDQ3545262

Radu Serban, Linda R. Petzold, Chris Homescu

Publication date: 10 December 2008

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc902000/

zbMATH Keywords

error estimatesnumerical examplesdifferential-algebraic equationsmodel reductionnonlinear dynamical systemsadjoint methodsingular value analysissmall-sample statistical condition estimationvalid parameter range

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for differential-algebraic equations (65L80)

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Model reduction of dynamical systems by proper orthogonal decomposition: error bounds and comparison of methods using snapshots from the solution and the time derivatives ⋮ DRIPS: a framework for dimension reduction and interpolation in parameter space ⋮ Randomized Residual-Based Error Estimators for Parametrized Equations ⋮ Sensitivity analysis and model order reduction for random linear dynamical systems

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