High order symmetric algorithms for nonlinear dynamical systems with non-holonomic constraints

Cites Work

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What makes nonholonomic integrators work?
Integrators for nonholonomic mechanical systems
Momentum conserving symplectic integrators
Asynchronous variational integrators
Energy conserving nonholonomic integrators
Symmetry reduction of discrete Lagrangian mechanics on Lie groups
The ubiquitous Kronecker product
Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints
An inhomogeneous Chaplygin sleigh
Variational integrators for hamiltonizable nonholonomic systems
Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
Conformal invariance of Mei symmetry for the non-holonomic systems of non-Chetaev's type
Mechanical integrators derived from a discrete variational principle
Exact discrete Lagrangian mechanics for nonholonomic mechanics
Numerical and geometric aspects of the nonholonomic SHAKE and RATTLE methods
Energy-consistent numerical integration of mechanical systems with mixed holonomic and nonholonomic constraints
Geometric numerical integration of nonholonomic systems and optimal control problems
Non-holonomic integrators
Simulating nonholonomic dynamics
Discrete Hamiltonian variational integrators
Discrete mechanics and variational integrators
Momentum and energy preserving integrators for nonholonomic dynamics
Structure Preservation for Constrained Dynamics with Super Partitioned Additive Runge--Kutta Methods
Symplectic-energy-momentum preserving variational integrators
Time-discretized variational formulation of non-smooth frictional contact
Discrete Euler-Poincaré and Lie-Poisson equations
Quasivelocities and symmetries in non-holonomic systems
Higher-order discrete variational problems with constraints
Geometric integrators for ODEs
Numerical methods for Hamiltonian PDEs
Geometric Numerical Integration
A Discrete Version of Pontryagin's Maximum Principle
Discrete calculus of variations
Discrete nonholonomic LL systems on Lie groups

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