Semigroup linearization for nonlinear parabolic equations
James F. Epperson · Numerical Methods for Partial Differential Equations · 1991
Abstract We present an algorithm for nonlinear parabolic equations that uses a linear semigroup approach to decouple the nonlinearity, thus allowing simpler techniques to be used for the solution. The basic method is applicable only to a restricted class of problems, but can be extended with little loss of utility. Stability and error estimates are given, along with example computations.