1. Preface

   • J. C. Butcher

   Preface Pages: 1 - 3

2. Efficient Collocation Schemes for Singular Boundary Value Problems

   • Winfried Auzinger
   • Othmar Koch
   • Ewa Weinmüller

   OriginalPaper Pages: 5 - 25

3. The Solution of a Singularly Perturbed Convection–Diffusion Problem by an Iterative Domain Decomposition Method

   • Igor P. Boglaev

   OriginalPaper Pages: 27 - 46

4. The A-Stability of Methods with Padé and Generalized Padé Stability Functions

   • J.C. Butcher

   OriginalPaper Pages: 47 - 58

5. Stability of Numerical Methods for Ordinary Differential Equations

   • J.C. Butcher
   • A.D. Heard

   OriginalPaper Pages: 59 - 73

6. Error Estimation for Nordsieck Methods

   • J.C. Butcher
   • Z. Jackiewicz

   OriginalPaper Pages: 75 - 85

7. Nordsieck Methods with an Off-Step Point

   • J.C. Butcher
   • A.E. O'Sullivan

   OriginalPaper Pages: 87 - 101

8. Variable-Order ESIRK Methods for Stiff Differential Equations

   • D.J.L. Chen

   OriginalPaper Pages: 103 - 114

9. A New View of the Computational Complexity of IVP for ODE

   • Robert M. Corless

   OriginalPaper Pages: 115 - 124

10. The Design and Implementation of Usable ODE Software

    • W.H. Enright

    OriginalPaper Pages: 125 - 137

11. Generalization of Backward Differentiation Formulas for Parallel Computers

    • Felice Iavernaro
    • Francesca Mazzia

    OriginalPaper Pages: 139 - 155

12. Eigenvalues and Quasi-Eigenvalues of Banded Toeplitz Matrices: Some Properties and Applications

    • Felice Iavernaro
    • Francesca Mazzia
    • Donato Trigiante

    OriginalPaper Pages: 157 - 170

13. Iterative Solution of SPARK Methods Applied to DAEs

    • Laurent O. Jay

    OriginalPaper Pages: 171 - 191

14. New Multivalue Methods for Differential Algebraic Equations

    • Minnie Kerr
    • Kevin Burrage

    OriginalPaper Pages: 193 - 213

15. Global Error Estimators for Order 7, 8 Runge–Kutta Pairs

    • T. Macdougall
    • J.H. Verner

    OriginalPaper Pages: 215 - 231

16. Families of High-Order Composition Methods

    • Robert I. McLachlan

    OriginalPaper Pages: 233 - 246

17. Numerical Integration of Reaction–Diffusion Systems

    • Michelle Schatzman

    OriginalPaper Pages: 247 - 269

18. Requirements of a Package for N-Body Simulations of the Solar System

    • P.W. Sharp

    OriginalPaper Pages: 271 - 279

19. Automatic Control and Adaptive Time-Stepping

    • Gustaf Söderlind

    OriginalPaper Pages: 281 - 310

20. A Parallel Algorithm for the Estimation of the Global Error in Runge–Kutta Methods

    • R. Tirani

    OriginalPaper Pages: 311 - 318

21. Finite Element Differential–Algebraic Systems for Eddy Current Problems

    • Igor Tsukerman

    OriginalPaper Pages: 319 - 335

22. Approximate Factorization in Shallow Water Applications

    • P.J. van der Houwen
    • B.P. Sommeijer

    OriginalPaper Pages: 337 - 360

23. Multigrid Waveform Relaxation for Anisotropic Partial Differential Equations

    • Jan van Lent
    • Stefan Vandewalle

    OriginalPaper Pages: 361 - 380

24. Explicit General Linear Methods with Inherent Runge–Kutta Stability

    • W.M. Wright

    OriginalPaper Pages: 381 - 399

25. Software Issues for Ordinary Differential Equations

    • J.C. Butcher

    OriginalPaper Pages: 401 - 418