Numerical Methods for Nonsmooth Dynamical Systems

1. Nonsmooth Dynamical Systems: Motivating Examples and Basic Concepts
Vincent Acary, Bernard Brogliato

Part I. Formulations of Nonsmooth Dynamical Systems

2. Nonsmooth Dynamical Systems: A Short Zoology
Vincent Acary, Bernard Brogliato

3. Mechanical Systems with Unilateral Constraints and Friction
Vincent Acary, Bernard Brogliato

4. Complementarity Systems
Vincent Acary, Bernard Brogliato

5. Higher Order Constrained Dynamical Systems
Vincent Acary, Bernard Brogliato

6. Specific Features of Nonsmooth Dynamical Systems
Vincent Acary, Bernard Brogliato

Part II. Time Integration of Nonsmooth Dynamical Systems

7. Event-Driven Schemes for Inclusions with AC Solutions
Vincent Acary, Bernard Brogliato

8. Event-Driven Schemes for Lagrangian Systems
Vincent Acary, Bernard Brogliato

9. Time-Stepping Schemes for Systems with AC Solutions
Vincent Acary, Bernard Brogliato

10. Time-Stepping Schemes for Mechanical Systems
Vincent Acary, Bernard Brogliato

11. Time-Stepping Scheme for the HOSP
Vincent Acary, Bernard Brogliato

Part III. Numerical Methods for the One-Step Nonsmooth Problems

12. Basics on Mathematical Programming Theory
Vincent Acary, Bernard Brogliato

13. Numerical Methods for the Frictional Contact Problem
Vincent Acary, Bernard Brogliato

Part IV. The SICONOS Software: Implementation and Examples

14. The SICONOS Platform
Vincent Acary, Bernard Brogliato

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