منابع مشابه
A $N$-Body Solver for Square Root Iteration
We develop the Sparse Approximate Matrix Multiply (SpAMM) n-body solver for first order Newton Schulz iteration of the matrix square root and inverse square root. The solver performs recursive two-sided metric queries on a modified Cauchy-Schwarz criterion (octree-occlusion-culling in the ijkcube), yielding a bounded relative error in the matrix-matrix product and reduced complexity for problem...
متن کاملA N-Body Solver for Free Mesh Interpolation
Factorization of the Gaussian RBF kernel is developed for free-mesh interpolation in the flat, polynomial limit corresponding to Taylor expansion and the Vandermonde basis of geometric moments. With this spectral approximation, a top-down octree-scoping of an interpolant is found by recursively decomposing the residual, similar to the work of Driscoll and Heryudono (2007), except that in the cu...
متن کاملA New Parallel N-body Gravity Solver: TPM
We have developed a gravity solver based on combining the well developed Particle-Mesh (PM) method and TREE methods. It is designed for and has been implemented on parallel computer architectures. The new code can deal with tens of millions of particles on current computers, with the calculation done on a parallel supercomputer or a group of workstations. Typically, the spatial resolution is en...
متن کاملRelativistic closed-form Hamiltonian for many-body gravitating systems in the post-Minkowskian approximation.
The Hamiltonian for a system of relativistic bodies interacting by their gravitational field is found in the post-Minkowskian approximation, including all terms linear in the gravitational constant. It is given in a surprisingly simple closed form as a function of canonical variables describing the bodies only. The field is eliminated by solving inhomogeneous wave equations, applying transverse...
متن کاملPost-Newtonian N -body simulations
We report on the first fully consistent conventional cluster simulation which includes terms up to post Newtonian in the potential of the massive body. Numerical problems for treating extremely energetic binaries orbiting a single massive object are circumvented by employing the special “wheel-spoke” regularization method of Zare (1974) which has not been used in large-N simulations before. Ide...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Astrophysical Journal
سال: 2018
ISSN: 1538-4357
DOI: 10.3847/1538-4357/aac209