Zobrazeno 1 - 10
of 448
pro vyhledávání: '"65F05"'
In this paper, we propose a novel method for genus-one and multiply connected genus-zero surfaces, namely periodic conformal flattening.The primary advantage of this method is its independence from the cut paths and consistency preservation of the cu
Externí odkaz:
http://arxiv.org/abs/2412.19052
In practice, non-specialized interior point algorithms often cannot utilize the massively parallel compute resources offered by modern many- and multi-core compute platforms. However, efficient distributed solution techniques are required, especially
Externí odkaz:
http://arxiv.org/abs/2412.07731
Algebraic methods applied to the reconstruction of Sparse-view Computed Tomography (CT) can provide both a high image quality and a decrease in the dose received by patients, although with an increased reconstruction time since their computational co
Externí odkaz:
http://arxiv.org/abs/2412.07631
This paper presents a point-wise divergence-free projection method for numerical approximations of photonic quasicrystals problems. The original three-dimensional quasiperiodic Maxwell's system is transformed into a periodic one in higher dimensions
Externí odkaz:
http://arxiv.org/abs/2409.05528
Autor:
Naumann, Uwe
The implicit Euler method integrates systems of ordinary differential equations $$\frac{d x}{d t}=G(t,x(t))$$ with differentiable right-hand side $G : {\mathbb R} \times {\mathbb R}^n \rightarrow {\mathbb R}^n$ from an initial state $x=x(0) \in {\mat
Externí odkaz:
http://arxiv.org/abs/2409.05445
Autor:
Xuanru, Zhu, Jun, Lai
When solving partial differential equations (PDEs) using finite difference or finite element methods, efficient solvers are required for handling large sparse linear systems. In this paper, a recursive sparse LU decomposition for matrices arising fro
Externí odkaz:
http://arxiv.org/abs/2408.14193
This research investigates using a mixed-precision iterative refinement method using posit numbers instead of the standard IEEE floating-point format. The method is applied to solve a general linear system represented by the equation $Ax = b$, where
Externí odkaz:
http://arxiv.org/abs/2408.13400
Autor:
Respondek, Jerzy S
The author was encouraged to write this review by numerous enquiries from researchers all over the world, who needed a ready-to-use algorithm for the inversion of confluent Vandermonde matrices which works in quadratic time for any values of the para
Externí odkaz:
http://arxiv.org/abs/2407.15696
Fast Iterative Solver For Neural Network Method: II. 1D Diffusion-Reaction Problems And Data Fitting
This paper expands the damped block Newton (dBN) method introduced recently in [4] for 1D diffusion-reaction equations and least-squares data fitting problems. To determine the linear parameters (the weights and bias of the output layer) of the neura
Externí odkaz:
http://arxiv.org/abs/2407.01496
Autor:
Kelley, C. T.
We make the interprecision transfers explicit in an algorithmic description of iterative refinement and obtain new insights into the algorithm. One example is the classic variant of iterative refinement where the matrix and the factorization are stor
Externí odkaz:
http://arxiv.org/abs/2407.00827