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- Multiple-scale_analysis abstract "In mathematics and physics, multiple-scale analysis (also called the method of multiple scales) comprises techniques used to construct uniformly valid approximations to the solutions of perturbation problems, both for small as well as large values of the independent variables. This is done by introducing fast-scale and slow-scale variables for an independent variable, and subsequently treating these variables, fast and slow, as if they are independent. In the solution process of the perturbation problem thereafter, the resulting additional freedom – introduced by the new independent variables – is used to remove (unwanted) secular terms. The latter puts constraints on the approximate solution, which are called solvability conditions. Mathematics research from about the 1980s proposes that coordinate transforms and invariant manifolds provide much sounder support for multiscale modelling (for example, see center manifold and slow manifold).".
- Multiple-scale_analysis wikiPageExternalLink Multiple_scale_analysis.
- Multiple-scale_analysis wikiPageID "23923990".
- Multiple-scale_analysis wikiPageRevisionID "595106316".
- Multiple-scale_analysis hasPhotoCollection Multiple-scale_analysis.
- Multiple-scale_analysis subject Category:Asymptotic_analysis.
- Multiple-scale_analysis subject Category:Mathematical_physics.
- Multiple-scale_analysis subject Category:Perturbation_theory.
- Multiple-scale_analysis comment "In mathematics and physics, multiple-scale analysis (also called the method of multiple scales) comprises techniques used to construct uniformly valid approximations to the solutions of perturbation problems, both for small as well as large values of the independent variables. This is done by introducing fast-scale and slow-scale variables for an independent variable, and subsequently treating these variables, fast and slow, as if they are independent.".
- Multiple-scale_analysis label "Multiple-scale analysis".
- Multiple-scale_analysis sameAs m.076wdw1.
- Multiple-scale_analysis sameAs Q6934874.
- Multiple-scale_analysis sameAs Q6934874.
- Multiple-scale_analysis wasDerivedFrom Multiple-scale_analysis?oldid=595106316.
- Multiple-scale_analysis isPrimaryTopicOf Multiple-scale_analysis.