On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations

A special stability problem for linear multistep methods

1963 • 1,253 citations

Implicit Runge-Kutta processes

1964 • 652 citations

The automatic integration of stiff ordinary differential equations.

1968 • 266 citations

A note on unconditionally stable linear multistep methods

1967 • 150 citations

A class ofA-stable methods

1969 • 122 citations

High order a-stable methods for the numerical solution of systems of D.E.'s

1968 • 113 citations

Implicit Runge-Kutta Processes

1964 • 110 citations

A-stable block implicit one-step methods

1972 • 105 citations

A method for the numerical integration of coupled first-order differential equations with greatly different time constants

1966 • 97 citations

Review of Numerical Integration Techniques for Stiff Ordinary Differential Equations

1970 • 84 citations

An A-stable modification of the Adams-Bashforth methods

1969 • 82 citations

A-stable Runge-Kutta processes

1971 • 67 citations

A mathematical model of the cool-flame oxidation of acetaldehyde

1971 • 45 citations

A note on trapezoidal methods for the solution of initial value problems

1970 • 39 citations

A criterion forA(α)-stability of linear multistep methods

1969 • 23 citations

A note on a class of stronglyA-stable methods

1972 • 23 citations

A Method for the Numerical Integration of Coupled First-Order Differential Equations with Greatly Different Time Constants

1966 • 12 citations

A Note on Trapezoidal Methods for the Solution of Initial Value Problems

1970 • 10 citations