The following pages link to Runge-Kutta methods on Lie groups (Q1387241):
Displaying 44 items.
- The equations of motion for a rigid body using non-redundant unified local velocity coordinates (Q2300012) (← links)
- The Magnus expansion for stochastic differential equations (Q2303772) (← links)
- Velocity-based approach in non-linear dynamics of three-dimensional beams with enforced kinematic compatibility (Q2310321) (← links)
- Global optimization with orthogonality constraints via stochastic diffusion on manifold (Q2316261) (← links)
- A Lie-group \(\mathrm{DSO}(n)\) method for nonlinear dynamical systems (Q2339022) (← links)
- Lie-group integration method for constrained multibody systems in state space (Q2355723) (← links)
- Weak stochastic Runge-Kutta Munthe-Kaas methods for finite spin ensembles (Q2359649) (← links)
- Singularity-free time integration of rotational quaternions using non-redundant ordinary differential equations (Q2361338) (← links)
- Group preserving schemes for nonlinear dynamic system based on RKMK methods (Q2369178) (← links)
- New conservation schemes for the nonlinear Schrödinger equation (Q2496379) (← links)
- A novel Lie-group theory and complexity of nonlinear dynamical systems (Q2513801) (← links)
- Error analysis of generalized-\(\alpha\) Lie group time integration methods for constrained mechanical systems (Q2514243) (← links)
- A projection-based characteristic mapping method for tracer transport on the sphere (Q2681131) (← links)
- Lie algebras associated with the exponential solutions of nonautonomous linear differential equations. (Q2775052) (← links)
- Geometric Euler-Maruyama schemes for stochastic differential equations in \(\mathrm{SO}(n)\) and \(\mathrm{SE}(n)\) (Q2817779) (← links)
- A numerical test of long-time stability for rigid body integrators (Q2895005) (← links)
- The Fourth-Order Group Preserving Methods for the Integrations of Ordinary Differential Equations (Q2969361) (← links)
- Topics in structure-preserving discretization (Q3100346) (← links)
- Approximating the exponential from a Lie algebra to a Lie group (Q4501035) (← links)
- On the Dimension of Certain Graded Lie Algebras Arising in Geometric Integration of Differential Equations (Q4504962) (← links)
- Lie Group Dynamics of Multibody System in Vortical Fluid Flow (Q5013692) (← links)
- Computational Dynamics of Reduced Coupled Multibody-Fluid System in Lie Group Setting (Q5021906) (← links)
- Lie group integrators for mechanical systems (Q5033358) (← links)
- An operadic approach to substitution in Lie–Butcher series (Q5072198) (← links)
- Waveform Relaxation Methods for Lie-Group Equations (Q5079572) (← links)
- Energy-preserving methods on Riemannian manifolds (Q5207438) (← links)
- Invariant Connections, Lie Algebra Actions, and Foundations of Numerical Integration on Manifolds (Q5215534) (← links)
- Interpolation in dynamic equations on time scales (Q5433508) (← links)
- Dynamically equivalent implicit algorithms for the integration of rigid body rotations (Q5451423) (← links)
- CONNECTIONS FOR GENERAL GROUP ACTIONS (Q5462711) (← links)
- Accurate and efficient simulation of rigid-body rotations. (Q5926793) (← links)
- Integration methods based on canonical coordinates of the second kind (Q5929862) (← links)
- Computing Lyapunov exponents on a Stiefel manifold (Q5938556) (← links)
- Extrapolation methods in Lie groups (Q5951586) (← links)
- Special issue: Themes in geometric integration (Q5954976) (← links)
- DiffMan: An object-oriented MATLAB toolbox for solving differential equations on manifolds (Q5954981) (← links)
- Multistep methods integrating ordinary differential equations on manifolds (Q5954982) (← links)
- Time symmetry and high-order Magnus methods (Q5954984) (← links)
- The Fer expansion and time-symmetry: A Strang-type approach (Q5954987) (← links)
- Time-adaptive Lagrangian variational integrators for accelerated optimization (Q6160678) (← links)
- Geometry-preserving numerical methods for physical systems with finite-dimensional Lie algebras (Q6185865) (← links)
- A survey on the Munthe-Kaas-Wright Hopf algebra (Q6632767) (← links)
- Relative-kinematic formulation of geometrically exact beam dynamics based on Lie group variational integrators (Q6641898) (← links)
- Evaluation and implementation of Lie group integration methods for rigid multibody systems (Q6664519) (← links)
