The Spin-MInt algorithm is proven symplectic for general K electronic states via explicit verification of the condition MJM^T = J on the coadjoint orbit of the su(K) Lie-Poisson algebra.
Springer series in computational mathematics, vol
17 Pith papers cite this work. Polarity classification is still indexing.
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SPIDeC methods achieve arbitrarily high-order accuracy for positive dynamical systems while unconditionally preserving positivity and equilibria via a multiplicative Volterra structure, and they are L-stable with asymptotic logarithmic contractivity under Gauss-Radau nodes.
Boundary-conformal quadrature with closed-form azimuthal coefficients, tangency-based panel splitting, and square-root substitution restores spectral and fourth-order convergence in IITM for convex polyhedra.
Z²-Sampling implicitly realizes zero-cost zigzag trajectories for curvature-aware semantic alignment in diffusion models by reducing multi-step paths via operator dualities and temporal caching while synthesizing a directional derivative penalty.
An adaptive hierarchical RMHMC sampler with closed-form leapfrog integrator and automatic mass matrix tuning for efficient MCMC in high-dimensional Bayesian problems.
Spectral Deferred Correction methods achieve at least order p after p iterations when viewed as Runge-Kutta methods, with order jumps of two possible for collocation methods using specific implicit error discretizations.
Introduces semilinear order conditions for Runge-Kutta methods on stiff semilinear ODEs via orthogonality relations and rooted trees, proving uniform global error bounds independent of stiffness.
Introduces an architecture-independent diagnostic software suite for auditing learned PDE simulators via checks like semigroup consistency and energy behavior, validated on five benchmark PDE tasks where L2 error alone proves insufficient.
Enforcing semi-group consistency on a time-conditioned secant velocity field via Symmetry Rupture improves rollout accuracy and efficiency when learning physical dynamics from discrete observations.
A mixed formulation for Cosserat rod dynamics is cast as an infinite-dimensional nonlinear port-Hamiltonian system and discretized with structure-preserving finite elements to yield energy-momentum consistent time integration.
High-order essentially explicit discretizations using Fourier Galerkin plus projection-relaxation conserve mass, momentum, and energy for BBM, KdV, and NLS equations.
The nuclear star cluster around Sgr A* is the dominant source of gravitationally boosted dark matter in the Milky Way, with particles up to ~25,000 km/s that enhance sub-GeV detection prospects independently of the DM model.
A fully discrete strain-based model for continuum robot dynamics via Lie group variational integrators, combined with an EKF-based observer for states and disturbances, validated on hardware.
ELGIN is a graph-based physics-informed surrogate model that predicts carrier flow and polydisperse particle motion in dental aerosol scenarios, achieving lower tracking errors and 37x speedup versus full OpenFOAM CFD in a preliminary single-case test.
An open-source Jax-based SPH simulator generates training data for LPV state-space surrogates that approximate fuel sloshing dynamics and enable 100x faster closed-loop spacecraft simulations under zero gravity.
citing papers explorer
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$Z^2$-Sampling: Zero-Cost Zigzag Trajectories for Semantic Alignment in Diffusion Models
Z²-Sampling implicitly realizes zero-cost zigzag trajectories for curvature-aware semantic alignment in diffusion models by reducing multi-step paths via operator dualities and temporal caching while synthesizing a directional derivative penalty.
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Data-driven Learning of LPV Surrogate Models of Fuel Sloshing
An open-source Jax-based SPH simulator generates training data for LPV state-space surrogates that approximate fuel sloshing dynamics and enable 100x faster closed-loop spacecraft simulations under zero gravity.