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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 a sounder support for multiscale modelling (for example, see center manifold and slow manifold).".
- Multiple-scale_analysis wikiPageID "23923990".
- Multiple-scale_analysis wikiPageLength "9552".
- Multiple-scale_analysis wikiPageOutDegree "25".
- Multiple-scale_analysis wikiPageRevisionID "688079225".
- Multiple-scale_analysis wikiPageWikiLink Approximation.
- Multiple-scale_analysis wikiPageWikiLink Category:Asymptotic_analysis.
- Multiple-scale_analysis wikiPageWikiLink Category:Mathematical_physics.
- Multiple-scale_analysis wikiPageWikiLink Category:Perturbation_theory.
- Multiple-scale_analysis wikiPageWikiLink Center_manifold.
- Multiple-scale_analysis wikiPageWikiLink Complex_conjugate.
- Multiple-scale_analysis wikiPageWikiLink Dependent_and_independent_variables.
- Multiple-scale_analysis wikiPageWikiLink Duffing_equation.
- Multiple-scale_analysis wikiPageWikiLink Frequency.
- Multiple-scale_analysis wikiPageWikiLink Hamiltonian_system.
- Multiple-scale_analysis wikiPageWikiLink Initial_condition.
- Multiple-scale_analysis wikiPageWikiLink Mathematics.
- Multiple-scale_analysis wikiPageWikiLink Method_of_matched_asymptotic_expansions.
- Multiple-scale_analysis wikiPageWikiLink Nonlinear_system.
- Multiple-scale_analysis wikiPageWikiLink Ordinary_differential_equation.
- Multiple-scale_analysis wikiPageWikiLink Oscillation.
- Multiple-scale_analysis wikiPageWikiLink Perturbation_theory.
- Multiple-scale_analysis wikiPageWikiLink Phasor.
- Multiple-scale_analysis wikiPageWikiLink Physics.
- Multiple-scale_analysis wikiPageWikiLink Poincaré–Lindstedt_method.
- Multiple-scale_analysis wikiPageWikiLink Secular_variation.
- Multiple-scale_analysis wikiPageWikiLink Sides_of_an_equation.
- Multiple-scale_analysis wikiPageWikiLink Slow_manifold.
- Multiple-scale_analysis wikiPageWikiLink WKB_approximation.
- Multiple-scale_analysis wikiPageWikiLinkText "Multiple-scale analysis".
- Multiple-scale_analysis wikiPageWikiLinkText "multiple-scale analysis".
- Multiple-scale_analysis wikiPageWikiLinkText "multiscale analysis techniques".
- Multiple-scale_analysis wikiPageWikiLinkText "multiscale analysis".
- Multiple-scale_analysis curator "Carson C. Chow".
- Multiple-scale_analysis title "Multiple scale analysis".
- Multiple-scale_analysis urlname "Multiple_scale_analysis".
- Multiple-scale_analysis wikiPageUsesTemplate Template:Citation.
- Multiple-scale_analysis wikiPageUsesTemplate Template:Citation_needed.
- Multiple-scale_analysis wikiPageUsesTemplate Template:Harvnb.
- Multiple-scale_analysis wikiPageUsesTemplate Template:Pad.
- Multiple-scale_analysis wikiPageUsesTemplate Template:Ref_begin.
- Multiple-scale_analysis wikiPageUsesTemplate Template:Ref_end.
- Multiple-scale_analysis wikiPageUsesTemplate Template:Reflist.
- Multiple-scale_analysis wikiPageUsesTemplate Template:Scholarpedia.
- Multiple-scale_analysis subject Category:Asymptotic_analysis.
- Multiple-scale_analysis subject Category:Mathematical_physics.
- Multiple-scale_analysis subject Category:Perturbation_theory.
- Multiple-scale_analysis type Mechanic.
- Multiple-scale_analysis type Physic.
- 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 Q6934874.
- Multiple-scale_analysis sameAs m.076wdw1.
- Multiple-scale_analysis sameAs Q6934874.
- Multiple-scale_analysis wasDerivedFrom Multiple-scale_analysis?oldid=688079225.
- Multiple-scale_analysis isPrimaryTopicOf Multiple-scale_analysis.