On variable stepsize Runge-Kutta approximations of a Cauchy problem for the evolution equation

Stability of Runge–Kutta Methods for Stiff Nonlinear Differential Equations

Journal of Computational and Applied Mathematics · 1986 · 751 citations

Numerical Analysis, Engineering, Numerical Stability +4

On Rational Approximations of Semigroups

Philip Brenner, Vidar Thomée · SIAM Journal on Numerical Analysis · 1979 · 154 citations

Mathematical Programming, Spectral Theory, Topological Semigroups +9

The stability of rational approximations of analytic semigroups

Michel Crouzeix, Stig Larsson, Sergey Piskarev et al. · BIT Numerical Mathematics · 1993 · 98 citations

Topological Semigroups, Analytic Semigroups, Transformation Semigroups +2

Single step methods for inhomogeneous linear differential equations in Banach space

Philip Brenner, Michel Crouzeix, Vidar Thomée · RAIRO Analyse numérique · 1982 · 93 citations · Full text

Numerical Analysis, Method Of Fundamental Solution, Engineering +7

Linear stability analysis in the numerical solution of initial value problems

Jos L. M. van Dorsselaer, J. F. B. M. Kraaijevanger, M. N. Spijker · Acta Numerica · 1993 · 90 citations

Numerical Analysis, Spectral Theory, Initial Value Problems +17