Results 71 to 80 of about 7,065 (184)
Sketched and Truncated Polynomial Krylov Methods: Evaluation of Matrix Functions
Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.ABSTRACT Among randomized numerical linear algebra strategies, so‐called sketching procedures are emerging as effective reduction means to accelerate the computation of Krylov subspace methods for, for example, the solution of linear systems, eigenvalue computations, and the approximation of matrix functions.
Davide Palitta +2 more
wiley +1 more source
Variable and Extended Precision (VRP) Accelerator Implemented in a 22 nm SoC
Electronics Letters, Volume 61, Issue 1, January/December 2025.We implemented a variable extended precision accelerator, with support of up to 512‐bit precision, in a 22 nm system‐on‐chip. We demonstrate its ability to improve convergence of linear solver by running conjugate gradient methods on the chip at 800 MHz working frequency.
Eric Guthmuller +5 more
wiley +1 more source
High-Performance Multi-Precision Tool for Floating-Point Computations [PDF]
RadioengineeringThis paper presents a MATLAB toolbox for multiple-precision arithmetic, enabling high-precision numerical computations beyond the standard double-precision format. The development step and functionality of the toolbox are described, and how it integrates
L. Leitold, M. Alrwashdeh, Z. Kollar
doaj
Advances in Meteorology, Volume 2025, Issue 1, 2025.The weather prediction model system of Korea Air Force (KAF), based on the Weather Research and Forecasting (WRF) model, has been operated since 2007. This study incorporates recent physics parameterizations into the KAF‐WRF system and evaluates their impacts on the performance of the system in simulating winter precipitation, fog, and low‐level cloud ...
Jae-Ik Song +11 more
wiley +1 more source
Calculation of Green's functions for heat conduction in curved anisotropic media
Heat Transfer, Volume 53, Issue 8, Page 4528-4550, December 2024.Abstract Solving the inverse problems of heat conduction often requires performing a very large number of Green's function evaluations. This paper addresses the calculation of Green's functions in anisotropic curved media, such as composite lamina, where the principal axes of thermal conductivity follow the curved surface.
Anatoli M. Frishman, Stephen D. Holland
wiley +1 more source
Accuracy and speed in computing the Chebyshev collocation derivative [PDF]
We studied several algorithms for computing the Chebyshev spectral derivative and compare their roundoff error. For a large number of collocation points, the elements of the Chebyshev differentiation matrix, if constructed in the usual way, are not ...
Don, Wai-Sun, Solomonoff, Alex
core +1 more source
Degeneracy in the presence of roundoff errors
Linear Algebra and its Applications, 1988 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Stability of numerical integration techniques for transient rotor dynamics [PDF]
A finite element model of a rotor bearing system was analyzed to determine the stability limits of the forward, backward, and centered Euler; Runge-Kutta; Milne; and Adams numerical integration techniques.
Kascak, A. F.
core +1 more source
Numerically stable form factor of any polygon and polyhedron. [PDF]
J Appl Crystallogr, 2021 Wuttke J.
europepmc +1 more source
Non-linear System of Multi-order Fractional Differential Equations: Theoretical Analysis and a Robust Fractional Galerkin Implementation. [PDF]
J Sci Comput, 2022 Faghih A, Mokhtary P.
europepmc +1 more source