Bristol-s-Tutorial

Basics on numerical algorithms forNon Smooth Dynamical SystemsVincentAcary,FrédéricDuboisTuturialLectureThirdSICONOSGeneralMeeting. September15-17,BristolINRIARhône–AlpesBasics on Numerical algorithms – Third SICONOS General Meeting. – p.1/32?Introduction Event-Driven Time-stepping Comparison Illustrations ConclusionOutline1–Introdution1.1–Scope1.2–LinearComplementaritySystems(LCS)1.3–LinearLagrangiansystemswithContactandFriction• 2–Event–Driven• 3–Time–stepping• 4–Comparison• 5–Illustrations• 6–ConclusionINRIARhône–AlpesBasics on Numerical algorithms – Third SICONOS General Meeting. – p.2/32hIntroduction Event-Driven Time-stepping Comparison Illustrations ConclusionScopeOnly Initial Value Problems (IVP).INRIARhône–AlpesBasics on Numerical algorithms – Third SICONOS General Meeting. – p.3/32hhIntroduction Event-Driven Time-stepping Comparison Illustrations ConclusionScopeOnly Initial Value Problems (IVP).Two typical examples of Non Smooth Dynamical Systems (NSDS) :• Linear Complementarity Systems• Lagrangian Dynamical Systems with contact and frictionINRIARhône–AlpesBasics on Numerical algorithms – Third SICONOS General Meeting. – p.3/32hhhIntroduction Event-Driven Time-stepping Comparison Illustrations ConclusionScopeOnly Initial Value Problems (IVP).Two typical examples of Non Smooth Dynamical Systems (NSDS) :• Linear Complementarity Systems• Lagrangian Dynamical Systems with contact and frictionTwo major kinds of time ...