Singular perturbation
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 = 0 N δ n ( ε ) ψ n ( x ) {\displaystyle \varphi (x)\approx \sum _{n=0}^{N}\delta _{n}(\varepsilon )\psi _{n}(x)\,} as ε → 0 {\displaystyle \varepsilon \to 0} .