Zobrazeno 1 - 10 of 93 pro vyhledávání: '"Robert E. O'Malley"'
1
Singularly Perturbed Boundary Value Problems Viewed in the Liénard Plane
Autor: J. D. Allen, Robert E. O’Malley
Consider the autonomous scalar equation ϵ u ¨ + f ( u ) u ˙ + g ( u ) = 0 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072584/26f9c9ec-094d-4ec5-9212-4e65d94f7e97/content/eq1787.tif"/>
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2e6c1b337654766249eab125444c9e5a
https://doi.org/10.1201/9781003072584-16
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4
A Survey in Mathematics for Industry: Two-timing and matched asymptotic expansions for singular perturbation problems
Autor: E. Kirkinis, Robert E. O'Malley
Publikováno v: European Journal of Applied Mathematics. 22:613-629
Following the derivation of amplitude equations through a new two-time-scale method [O'Malley, R. E., Jr. & Kirkinis, E (2010) A combined renormalization group-multiple scale method for singularly perturbed problems.Stud. Appl. Math.124, 383–410],
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f36845d27294615b8c70af77a57773bb
https://doi.org/10.1017/s0956792511000325
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5
A Combined Renormalization Group-Multiple Scale Method for Singularly Perturbed Problems
Autor: Robert E. O'Malley, E. Kirkinis
Publikováno v: Studies in Applied Mathematics. 124:383-410
This paper introduces a straightforward method to asymptotically solve a variety of initial and boundary value problems for singularly perturbed ordinary differential equations whose solution structure can be anticipated. The approach is simpler than
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f44a8acf59b1e5998626e87ab0f19a0c
https://doi.org/10.1111/j.1467-9590.2009.00475.x
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6
Singular Perturbation Theory: A Viscous Flow out of Göttingen
Autor: Robert E. O'Malley
Publikováno v: Annual Review of Fluid Mechanics. 42:1-17
This review describes how singular perturbation theory grew out of Prandtl's fluid dynamical boundary-layer theory of 1904. Developments were centered at Göttingen until 1933, when research spread worldwide. After that, singular perturbations develo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::08668fce3b7ce4203b1cf60ff32e2691
https://doi.org/10.1146/annurev.fluid.060909.133212
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7
Examples Illustrating the Use of Renormalization Techniques for Singularly Perturbed Differential Equations
Autor: E. Kirkinis, Robert E. O'Malley
Publikováno v: Studies in Applied Mathematics. 122:105-122
With nine examples, we seek to illustrate the utility of the Renormalization Group approach as a unification of other asymptotic and perturbation methods.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0c3103f76b9f28bc3f8e24a9b8182330
https://doi.org/10.1111/j.1467-9590.2008.00425.x
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8
Elektronická kniha
Historical Developments in Singular Perturbations
Autor: Robert E. O'Malley
This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status. While the approach of the text is sophisticated, the literature is accessible to a broad audience. A parti
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9
Singularly Perturbed Linear Two-Point Boundary Value Problems
Autor: Robert E. O'Malley
Publikováno v: SIAM Review. 50:459-482
Finding asymptotic solutions to two-point boundary value problems for linear singularly perturbed second-order ordinary differential equations is now quite well understood. Troublesome exceptions involving turning points, known as problems of boundar
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f799fcfdb8dc6060fa149614b071a5cb
https://doi.org/10.1137/060662058
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