1. Introduction -- 2. Existence and regularity of solutions of DDEs -- 3. A review of DDE methods -- 4. The standard approach via continuous ODE methods -- 5. Continuous Runge -- Kutta methods for ODEs -- 6. Runge -- Kutta methods for DDEs -- 7. Local error estimate and variable stepsize -- 8. Stability analyses of Runge-Kutta methods for ODEs -- 9. Stability analysis of DDEs -- 10. Stability analysis of Runge-Kutta methods for DDEs
Summary
The authors describe, alalyse and improve various approaches and techniques for the numerical solution of delay differential equations. The text includes a list of available codes and also aids the reader in writing his or her own
Bibliography
Includes bibliographical references (pages 374-391) and index
