15 results about "Singular perturbation" patented technology

In mathematics, a singular perturbation problem is a problem containing a small parameter that cannot be approximated by setting the parameter value to zero. More precisely, the solution cannot be uniformly approximated by an asymptotic expansion φ(x)≈∑ₙ₌₀ᴺδₙ(ɛ)ψₙ(x) as ɛ→0. Here ɛ is the small parameter of the problem and δₙ(ɛ) are a sequence of functions of ɛ of increasing order, such as δₙ(ɛ)=ɛⁿ.