DOI10.1088/0951-7715/14/5/322zbMath1067.37116OpenAlexW2040269741MaRDI QIDQ2757164
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Publication date: 2001
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/14/5/322
Construction and analysis of higher order Galerkin variational integrators,
Preservation of adiabatic invariants and geometric numerical algorithm for disturbed nonholonomic systems,
Accelerated optimization on Riemannian manifolds via discrete constrained variational integrators,
Exact discrete Lagrangian mechanics for nonholonomic mechanics,
Hamel’s Formalism and Variational Integrators,
New way to construct high order Hamiltonian variational integrators,
The inverse problem of the calculus of variations for discrete systems,
Geometric integrators and nonholonomic mechanics,
A class of structure-preserving discontinuous Galerkin variational time integrators for Birkhoffian systems,
Discrete variational integrators and optimal control theory,
Conserved quantities and Hamiltonization of nonholonomic systems,
Variational integrators for interconnected Lagrange-Dirac systems,
On the discretization of nonholonomic dynamics in \(\mathbb{R}^n\),
C1‐continuous space‐time discretization based on Hamilton's law of varying action,
First variation formula for discrete variational problems in two independent variables,
A historical review on nonholomic mechanics,
Discrete Lagrange-d'Alembert-Poincaré equations for Euler's disk,
A variational integrator for the Chaplygin-Timoshenko sleigh,
Variational integrators for non-autonomous Lagrangian systems,
High order symmetric algorithms for nonlinear dynamical systems with non-holonomic constraints,
Nonholonomic systems with inequality constraints,
A Herglotz-based integrator for nonholonomic mechanical systems,
Variational order for forced Lagrangian systems II. Euler–Poincaré equations with forcing,
On some aspects of the discretization of the Suslov problem,
Hirota-Kimura type discretization of the classical nonholonomic Suslov problem,
First variation formula and conservation laws in several independent discrete variables,
Variational and geometric structures of discrete Dirac mechanics,
Variational discretization of the nonequilibrium thermodynamics of simple systems,
Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics,
Two forms of the discrete equations and the Noether theorems for nonautonomous Birkhoffian systems,
Discrete nonholonomic Lagrangian systems on Lie groupoids,
The geometric discretisation of the Suslov problem: a case study of consistency for nonholonomic integrators,
Lie group spectral variational integrators,
General techniques for constructing variational integrators,
Hamiltonization of nonholonomic systems and the inverse problem of the calculus of variations,
ON SOME ASPECTS OF THE GEOMETRY OF DIFFERENTIAL EQUATIONS IN PHYSICS,
The rotating rigid body model based on a non-twisting frame,
An introduction to Lie group integrators - basics, new developments and applications,
Geometric numerical integration of nonholonomic systems and optimal control problems,
Lagrangian reduction of nonholonomic discrete mechanical systems by stages,
Geometric discrete analogues of tangent bundles and constrained Lagrangian systems,
A SURVEY OF LAGRANGIAN MECHANICS AND CONTROL ON LIE ALGEBROIDS AND GROUPOIDS,
On Hamel’s equations,
Discrete formulation for the dynamics of rods deforming in space,
What makes nonholonomic integrators work?,
Energy-preserving integrators applied to nonholonomic systems,
A nonholonomic Newmark method,
Variational integrators and time-dependent Lagrangian systems,
Discrete Hamiltonian variational mechanics and Hamel's integrators,
Spectral variational integrators,
High order variational integrators in the optimal control of mechanical systems