Validated solutions of initial value problems for ordinary differential equations NS Nedialkov, KR Jackson, GF Corliss Applied Mathematics and Computation 105 (1), 21-68, 1999 | 440 | 1999 |

Interpolants for Runge-Kutta formulas WH Enright, KR Jackson, SP Nørsett, PG Thomsen ACM Transactions on Mathematical Software (TOMS) 12 (3), 193-218, 1986 | 266 | 1986 |

Nonlinear coupled-mode equations on a finite interval: A numerical procedure C Sterke, KR Jackson, BD Robert JOSA B 8 (2), 403-412, 1991 | 185 | 1991 |

User's guide for DVERK: A subroutine for solving non-stiff ODE's TE Hull, WH Enright, KR Jackson University of Toronto. Department of Computer Science, 1976 | 171 | 1976 |

An effective high-order interval method for validating existence and uniqueness of the solution of an IVP for an ODE NS Nedialkov, KR Jackson, JD Pryce Reliable Computing 7 (6), 449-465, 2001 | 162 | 2001 |

Fourier space time-stepping for option pricing with Lévy models K Jackson, S Jaimungal, V Surkov Journal of Computational Finance 12 (2), 1-29, 2008 | 154 | 2008 |

On Taylor model based integration of ODEs M Neher, KR Jackson, NS Nedialkov SIAM Journal on Numerical Analysis 45 (1), 236-262, 2007 | 149 | 2007 |

Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms TF Chan, KR Jackson SIAM Journal on scientific and statistical computing 5 (3), 533-542, 1984 | 149 | 1984 |

An alternative implementation of variable step-size multistep formulas for stiff ODEs KR Jackson, R Sacks-Davis ACM Transactions on Mathematical Software (TOMS) 6 (3), 295-318, 1980 | 135 | 1980 |

The potential for parallelism in Runge–Kutta methods. Part 1: RK formulas in standard form KR Jackson, SP Nørsett SIAM journal on numerical analysis 32 (1), 49-82, 1995 | 121* | 1995 |

A new perspective on the wrapping effect in interval methods for initial value problems for ordinary differential equations NS Nedialkov, KR Jackson Perspectives on Enclosure Methods, 219-263, 2001 | 94 | 2001 |

Modeling and simulation of skeletal muscle for computer graphics: A survey D Lee, M Glueck, A Khan, E Fiume, K Jackson Foundations and Trends® in Computer Graphics and Vision 7 (4), 229-276, 2011 | 91* | 2011 |

An interval Hermite-Obreschkoff method for computing rigorous bounds on the solution of an initial value problem for an ordinary differential equation NS Nedialkov, KR Jackson Reliable Computing 5 (3), 289-310, 1999 | 88 | 1999 |

A comparison of two ode codes: gear and episode GD Byrne, AC Hindmarsh, KR Jackson, HG Brown Computers & Chemical Engineering 1 (2), 125-131, 1977 | 76* | 1977 |

Effective solution of discontinuous IVPs using a Runge-Kutta formula pair with interpolants WH Enright, KR Jackson, SP Nørsett, PG Thomsen Applied mathematics and computation 27 (4), 313-335, 1988 | 67 | 1988 |

A survey of parallel numerical methods for initial value problems for ordinary differential equations KR Jackson IEEE Transactions on Magnetics 27 (5), 3792-3797, 1991 | 66 | 1991 |

The use of iterative linear-equation solvers in codes for large systems of stiff IVPs for ODEs TF Chan, KR Jackson SIAM journal on scientific and statistical computing 7 (2), 378-417, 1986 | 65 | 1986 |

Some recent advances in validated methods for IVPs for ODEs KR Jackson, NS Nedialkov Applied Numerical Mathematics 42 (1-3), 269-284, 2002 | 63 | 2002 |

The order of monotone piecewise cubic interpolation SC Eisenstat, KR Jackson, JW Lewis SIAM journal on numerical analysis 22 (6), 1220-1237, 1985 | 52 | 1985 |

A survey of shadowing methods for numerical solutions of ordinary differential equations W Hayes, KR Jackson Applied Numerical Mathematics 53 (2-4), 299-321, 2005 | 45 | 2005 |