ポアソン（Poisson）方程式の計算方法について， シンプルな反復法による解法，ヤコビ（Jacobi）法による計算について考えよう． 余談だが，人間の聴覚や視覚の解像度がそれぞれわかっているので，これの倍くらいで，等間隔に標本化しておけば，人間には ...

The TarFlow model is proposed in [Zhai et al., 2024], associated code can be found at https://github.com/apple/ml-tarflow. It achieves state-of-the-art results across ...

Abstract: Summary form only given. We present several non-linear structures simulated with the non-linear complex Jacobi iteration. This method numerically integrates the fields of the Helmholtz ...

If the SINGLE option is not used, PROC MODEL computes values that simultaneously satisfy the model equations for the variables named in the SOLVE statement. PROC MODEL provides three iterative methods ...

Abstract: The Jacobi iteration is often used for preconditioners with high parallel efficiency of Krylov subspace methods to solve very large linear systems. However, these preconditioners do not ...

N=512 achieves peak speedup of 10.46x at P=24 N=256 peaks at 2.88x with P=8 N=128 shows minimal speedup (max 1.19x at P=2) Larger problems scale better due to higher computation-to-communication ratio ...

ABSTRACT: In this paper, we investigate an accelerated version of the discrete-time Jacobi waveform relaxation iteration method. Based on the well known Chebyshev polynomial theory, we show that ...