Presenting various approaches and techniques for the numerical solution of delay differential equations, this title includes a list of available codes and also aids the reader in writing his or her own.
The main purpose of the book is to introduce the readers to the numerical integration of the Cauchy problem for delay differential equations (DDEs). Peculiarities and differences that DDEs exhibit with respect to ordinary differential equations are prelim
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 estimation and variable stepsize; 8. Stability analysis of Runge-Kutta methods for ODEs; 9. Stability analysis of DDEs; 10. Stability analysis of Runge-Kutta methods for DDEs
The main purpose of the book is to introduce the readers to the numerical integration of the Cauchy problem for delay differential equations (DDEs). Peculiarities and differences that DDEs exhibit with respect to ordinary differential equations are prelim
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 estimation and variable stepsize; 8. Stability analysis of Runge-Kutta methods for ODEs; 9. Stability analysis of DDEs; 10. Stability analysis of Runge-Kutta methods for DDEs