Residual Minimizing Model Interpolation for Parameterized Nonlinear Dynamical Systems

DOI10.1137/100816717zbMath1259.65110arXiv1012.0351OpenAlexW1995538875MaRDI QIDQ3165421

Qiqi Wang, Paul G. Constantine

Publication date: 26 October 2012

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

Full work available at URL: https://arxiv.org/abs/1012.0351

zbMATH Keywords

algorithmconvergenceerror estimatesinitial value problemsleast squares problemapproximate computation of solutionsNewton's type iterationnumerical results, ill-conditioningparameter dependent differential systemsresidual minimization scheme

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (9)

Windowed least-squares model reduction for dynamical systems ⋮ A fast, certified and ``tuning free two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems ⋮ Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization ⋮ Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction ⋮ Bayesian system ID: optimal management of parameter, model, and measurement uncertainty ⋮ A hyper-reduction method using adaptivity to cut the assembly costs of reduced order models ⋮ Space--Time Least-Squares Petrov--Galerkin Projection for Nonlinear Model Reduction ⋮ Windowed space-time least-squares Petrov-Galerkin model order reduction for nonlinear dynamical systems ⋮ A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

Uses Software

• VanHuffel
• MATLAB ODE suite

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