Application of a semi-implicit euler method to mass action kinetics

A general method for numerically simulating the stochastic time evolution of coupled chemical reactions

Daniel T. Gillespie · Journal of Computational Physics · 1976 · 6.3K citations

Natural Sciences, Chemistry, Physics +16

A special stability problem for linear multistep methods

Germund Dahlquist · BIT Numerical Mathematics · 1963 · 1.3K citations

Natural Sciences, Mathematics, Dynamical Systems +10

Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction

Richard J. Field, Richard M. Noyes · The Journal of Chemical Physics · 1974 · 1.3K citations

Natural Sciences, Chemistry, Differential Equations +16

The automatic integration of ordinary differential equations

C. W. Gear · Communications of the ACM · 1971 · 645 citations · Full text

Natural Sciences, Mathematics, Algorithms +16

Stable Predictor-Corrector Methods for Ordinary Differential Equations

R. W. Hamming · Journal of the ACM · 1959 · 197 citations · Full text

Natural Sciences, Mathematics, Differential Equations +9