Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations

The object of this monograph is to present a unified account of all developments concerning stability of Runge-Kutta methods for stiff nonlinear differential equations which began in 1975 with Dahlquist's G-stability paper and Butcher's B-stability paper. Designed for the reader with a background in numerical analysis, the book contains numerous theoretical and practical results aimed at giving insight into the treatment of nonlinear problems.