Examples of Singular Perturbative Problems
Each of the examples described below shows how a naive perturbation analysis, which assumes that the problem is regular instead of singular, will fail. Some show how the problem may be solved by more sophisticated singular methods.
Read more about this topic: Singular Perturbation
Other articles related to "examples of singular perturbative problems, problem, singular":
... Consider the problem of finding all roots of the polynomial ... Singular perturbation analysis suggests that the cubic has another root ... In a sense, the problem has two different scales two of the roots converge to finite numbers as decreases, while the third becomes arbitrarily large ...
Famous quotes containing the words examples of, problems, examples and/or singular:
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (16701733)
“Its so easy during those first few months to think that the problems will never end. You feel as if your son will never sleep through the night, will always spit up food after eating, and will never learn to smileeven though you dont know any adults or even older children who still act this way.”
—Lawrence Kutner (20th century)
“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold peoples attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
—G.C. (Georg Christoph)
“English general and singular terms, identity, quantification, and the whole bag of ontological tricks may be correlated with elements of the native language in any of various mutually incompatible ways, each compatible with all possible linguistic data, and none preferable to another save as favored by a rationalization of the native language that is simple and natural to us.”
—Willard Van Orman Quine (b. 1908)