A-stable one-step methods with step-size control for stiff systems of ordinary differential equations

Numerical Initial Value Problems in Ordinary Differential Equations

E. I., C. W. Gear · Mathematics of Computation · 1973 · 4K citations

Natural Sciences, Mathematics, Physics +12

Discrete Variable Methods in Ordinary Differential Equations.

A. B. Farnell, Peter Henrici · American Mathematical Monthly · 1962 · 2.1K citations

Natural Sciences, Mathematics, Differential Equations +12

A special stability problem for linear multistep methods

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

Natural Sciences, Mathematics, Dynamical Systems +10

Implicit Runge-Kutta processes

J. C. Butcher · Mathematics of Computation · 1964 · 679 citations

Natural Sciences, Mathematics, Algorithms +11

The automatic integration of stiff ordinary differential equations.

C. W. Gear · IFIP Congress · 1968 · 271 citations

Natural Sciences, Mathematics, Computational Mechanics +12