Lie group spectral variational integrators
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Publication:525603
DOI10.1007/s10208-015-9287-3zbMath1377.37115arXiv1402.3327OpenAlexW1490396119WikidataQ115385134 ScholiaQ115385134MaRDI QIDQ525603
Publication date: 5 May 2017
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.3327
Variational methods for problems in mechanics (70G75) Hamilton's principle (70H25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Related Items
Lie group integrators for mechanical systems, High-order symplectic partitioned Lie group methods, Interpolation on symmetric spaces via the generalized polar decomposition, Chebyshev spectral variational integrator and applications, A class of structure-preserving discontinuous Galerkin variational time integrators for Birkhoffian systems, Conserved quantities and Hamiltonization of nonholonomic systems, B-stability of numerical integrators on Riemannian manifolds, High-Order Retractions on Matrix Manifolds Using Projected Polynomials, Variational discretizations of gauge field theories using group-equivariant interpolation, High-order symplectic Lie group methods on \(SO(n)\) using the polar decomposition, Spectral variational integrators
Uses Software
Cites Work
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- High-order symplectic partitioned Lie group methods
- General techniques for constructing variational integrators
- Error analysis of variational integrators of unconstrained Lagrangian systems
- Integrators for nonholonomic mechanical systems
- Geometric discretization of nonholonomic systems with symmetries
- Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties
- Integrators for Lie-Poisson dynamical systems
- Discrete versions of some classical integrable systems and factorization of matrix polynomials
- Multisymplectic geometry, variational integrators, and nonlinear PDEs
- Asynchronous variational integrators
- Symmetry reduction of discrete Lagrangian mechanics on Lie groups
- Discrete time Lagrangian mechanics on Lie groups, with an application to the Lagrange top
- Lie group methods for rigid body dynamics and time integration on manifolds
- Equivariant constrained symplectic integration
- Spectral variational integrators
- Lie group variational integrators for the full body problem
- Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
- Non-holonomic integrators
- Long-Run Accuracy of Variational Integrators in the Stochastic Context
- Discrete Hamiltonian variational integrators
- Discrete Hamilton–Jacobi Theory
- Discrete mechanics and variational integrators
- Stochastic variational integrators
- Lagrangian mechanics and variational integrators on two-spheres
- Structure Preservation for Constrained Dynamics with Super Partitioned Additive Runge--Kutta Methods
- Spectral Methods in MATLAB
- Discrete Euler-Poincaré and Lie-Poisson equations
- Symplectic Partitioned Runge–Kutta Methods for Constrained Hamiltonian Systems
- Collective Lie-Poisson integrators on R3
- Inexact trajectory planning and inverse problems in the Hamilton–Pontryagin framework
- Generating functionals and Lagrangian partial differential equations
- Discrete variational Hamiltonian mechanics
- Discrete Routh reduction
- Geometric Numerical Integration
- Discrete nonholonomic LL systems on Lie groups
