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Can I read Methods for Dimension Reduction and Their Application in Nonlinear Dynamics on EtoBox?
Methods for Dimension Reduction and Their Application in Nonlinear Dynamics by Alois Steindl; Hans Troger is a Engineering article available to read on EtoBox.
What is Methods for Dimension Reduction and Their Application in Nonlinear Dynamics about?
We compare linear and nonlinear Galerkin methods in their eciency to reduce in®nite dimensional systems, described by partial dierential equations, to low dimensional systems of ordinary dierential equations, both concerning the eort in their application and the accuracy of the resulting reduced system. Important questions like the choice of the form of the ansatz functions (modes), the choice of the number m of modes and, ®nally, the construction of the reduced system are addressed. For the latter point, both the linear or standard Galerkin method making use of the Karhunen Loeve (proper orthogonal decomposition) ansatz functions and the nonlinear Galerkin method, using approximate inertial manifold theory, are used. In addition, also the post-processing Galerkin method is compared with the other approaches.
Who reads Methods for Dimension Reduction and Their Application in Nonlinear Dynamics?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Alois Steindl; Hans Troger
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0020-7683)
- Published
- 2001
- Language
- EN
- Field
- Engineering (Physical Sciences)