Titlebook: Essential Perturbation Methods; C.Y. Wang Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer N

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Eigenvalue Problems,In this Chapter, non-singular eigenvalue problems are studied. Singular eigenvalue problems, when the eigenvalues are large, are treated in Chapter ..

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Perturbation of Integrals,Solutions to many problems, including differential equations, may be in integral form. Most integrals cannot be integrated analytically, and are very difficult to integrate numerically.

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Examples in Mechanics,In this chapter, some applications in mechanics are given. We shall illustrate the complete process, from nondimensionalization, scaling, solving the perturbation problem, to the discussion of the results.

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978-3-031-26547-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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C.Y. WangRefines perturbation methods into simple, understandable elements for practicing scientists and engineers.Models and scales physical problems resulting in normalized perturbation equations.Contains pr

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https://doi.org/10.1007/978-3-031-26545-7Perturbation Methods; Modeling Physical Problems; Asymptotic Series; Equations; Singular Perturbation; Bo