Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods

System identification

1988 • 5,283 citations

Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems

1991 • 4,574 citations

Solving ordinary differential equations I. nonstiff problems

1987 • 4,197 citations

Numerical Initial Value Problems in Ordinary Differential Equations

1973 • 4,016 citations

Computer controlled systems theory and design

1986 • 3,145 citations

Comparing numerical methods for stiff systems of O.D.E:s

1975 • 338 citations

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

1974 • 326 citations

API stepsize control for the numerical solution of ordinary differential equations

1988 • 199 citations

Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods

1991 • 117 citations

Implementation of Implicit Formulas for the Solution of ODE<scp>s</scp>

1980 • 96 citations

Automatic numerical integration

1964 • 73 citations

Performance evaluation of numerical software

1980 • 51 citations

Control of Error and Convergence in ODE Solvers

1992 • 50 citations

Equilibrium states of Runge Kutta schemes

1985 • 49 citations

Local error control inSDIRK-methods

1986 • 40 citations

Embeddedsdirk-methods of basic order three

1984 • 36 citations

Equilibrium states of Runge-Kutta schemes: part II

1986 • 26 citations

Stiffness and Non-Stiff Differential Equation Solvers

1975 • 26 citations

On Chebyshev-type quadratures

1974 • 25 citations

Displacement or Residual Test in the Application of Implicit Methods for Stiff Problems

1985 • 19 citations

Embedded Runge-Kutta formulae with stable equilibrium states

1990 • 13 citations