This unique book describes, analyses, and improves various approaches and techniques for the numerical solution of delay differential equations. It includes a list of available codes and also aids the reader in writing his or her own.
This unique book describes, analyses, and improves various approaches and techniques for the numerical solution of delay differential equations. It includes a list of available codes and also aids the reader in writing his or her own.
Alfredo Bellen is Professor of Numerical Calculus in the Dipartimento di Matematica e Informatica, Universita' di Trieste, Italy Marino Zennaro is Professor of Numerical Analysis in the Dipartimento di Matematica e Geoscienze, Università di Trieste, Italy
Inhaltsangabe
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
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
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