Preserving general physical properties in model reduction of dynamical systems via constrained‐optimization projection

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6667 ◽

2021 ◽

Author(s):

Alexander Schein ◽

Kevin T. Carlberg ◽

Matthew J. Zahr

Keyword(s):

Dynamical Systems ◽

Physical Properties ◽

Constrained Optimization ◽

Model Reduction ◽

General Physical

Download Full-text

A model reduction method in large scale dynamical systems using an extended-rational block Arnoldi method

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01521-0 ◽

2021 ◽

Author(s):

M. A. Hamadi ◽

K. Jbilou ◽

A. Ratnani

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Large Scale ◽

Reduction Method ◽

Arnoldi Method ◽

Download Full-text

Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

Journal of Computational Physics ◽

10.1016/j.jcp.2019.108973 ◽

2020 ◽

Vol 404 ◽

pp. 108973 ◽

Author(s):

Kookjin Lee ◽

Kevin T. Carlberg

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Nonlinear Manifolds

Download Full-text

Model Reduction with Memory and the Machine Learning of Dynamical Systems

Communications in Computational Physics ◽

10.4208/cicp.oa-2018-0269 ◽

2019 ◽

Vol 25 (4) ◽

Author(s):

Chao Ma ◽

Jianchun Wang ◽

Weinan E

Keyword(s):

Machine Learning ◽

Dynamical Systems ◽

Model Reduction ◽

Download Full-text

Non-conforming Localized Model Reduction with Online Enrichment: Towards Optimal Complexity in PDE Constrained Optimization

Springer Proceedings in Mathematics & Statistics - Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems ◽

10.1007/978-3-319-57394-6_38 ◽

2017 ◽

pp. 357-365 ◽

Author(s):

Mario Ohlberger ◽

Felix Schindler

Keyword(s):

Constrained Optimization ◽

Model Reduction ◽

Optimal Complexity ◽

Pde Constrained Optimization

Download Full-text

Benchmark Examples for Model Reduction of Linear Time-Invariant Dynamical Systems

Lecture Notes in Computational Science and Engineering - Dimension Reduction of Large-Scale Systems ◽

10.1007/3-540-27909-1_24 ◽

2005 ◽

pp. 379-392 ◽

Author(s):

Younes Chahlaoui ◽

Paul Van Dooren

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Linear Time ◽

Linear Time Invariant ◽

Download Full-text

Energy harvesting in dynamical systems with fractional-order physical properties

Applications in Engineering, Life and Social Sciences, Part B ◽

10.1515/9783110571929-003 ◽

2019 ◽

pp. 63-86

Author(s):

Grzegorz Litak ◽

Cedrick A. K. Kwuimy ◽

Benjamin Ducharne

Keyword(s):

Dynamical Systems ◽

Energy Harvesting ◽

Physical Properties ◽

Fractional Order

Download Full-text

The Celestial System and Frame of IERS

International Astronomical Union Colloquium ◽

10.1017/s0252921100063752 ◽

1991 ◽

Vol 127 ◽

pp. 198-201 ◽

Author(s):

E.F. Arias ◽

M. Feissel

Keyword(s):

Dynamical Systems ◽

Physical Properties ◽

Internal Consistency ◽

Earth Rotation ◽

International Earth Rotation Service ◽

International Earth Rotation

AbstractThe celestial system maintained by the International Earth Rotation Service is described in terms of physical properties of the fiducial objects, internal consistency of the frame, and agreement with the FK5 and dynamical systems.

Download Full-text

Model Reduction of Complex Dynamical Systems

10.1007/978-3-030-72983-7 ◽

2021 ◽

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Complex Dynamical Systems

Download Full-text

Rapid data-driven model reduction of nonlinear dynamical systems including chemical reaction networks using ℓ1-regularization

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.5139463 ◽

2020 ◽

Vol 30 (5) ◽

pp. 053122

Author(s):

Q. Yang ◽

C. A. Sing-Long ◽

E. J. Reed

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Chemical Reaction ◽

Nonlinear Dynamical Systems ◽

Chemical Reaction Networks ◽

Data Driven ◽

Reaction Networks ◽

Nonlinear Dynamical ◽

ℓ1 Regularization

Download Full-text

General Physical Properties of External Galaxies

Astrophysik IV: Sternsysteme / Astrophysics IV: Stellar Systems - Handbuch der Physik / Encyclopedia of Physics ◽

10.1007/978-3-642-45932-0_8 ◽

1959 ◽

pp. 311-372 ◽

Author(s):

G. De Vaucouleurs

Keyword(s):

Physical Properties ◽

External Galaxies ◽

General Physical

Download Full-text