Results 71 to 80 of about 1,981 (210)
ERF: Energy Research and Forecasting Model
Journal of Advances in Modeling Earth Systems, Volume 17, Issue 11, November 2025.Abstract High performance computing (HPC) architectures have undergone rapid development in recent years. As a result, established software suites face an ever increasing challenge to remain performant on and portable across modern systems. Many of the widely adopted atmospheric modeling codes cannot fully (or in some cases, at all) leverage the ...
Aaron Lattanzi +10 more
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 126, Issue 19, 15 October 2025.ABSTRACT A Truncated Weighted Singular Value Decomposition (TWSVD) based approach is proposed for the Tikhonov regularized solution of the ill‐posed softening type nonlocal plasticity model. Tikhonov regularization provides a stable, smooth, and mesh‐independent solution of integral‐type nonlocal plasticity, but is computationally expensive for large ...
Albert Dahal, Luis Ibarra
wiley +1 more source
Numerical Linear Algebra with Applications, Volume 32, Issue 5, October 2025.ABSTRACT Recent development on mixed precision techniques has largely enhanced the performance of various linear algebra solvers, one of which is the solver for the least squares problem. By transforming least squares problems into augmented linear systems, mixed precision techniques are capable of refining the lower precision solution to the working ...
Bowen Gao, Yuxin Ma, Meiyue Shao
wiley +1 more source
International Journal for Numerical Methods in Fluids, Volume 97, Issue 9, Page 1189-1208, September 2025.This article presents the principles of Finite Element‐Volume discretization and conducts an analysis of its properties and convergence orders. The discretization ensures local mass conservation, second‐order convergence for velocity, and first‐order convergence for pressure.
Maria Adela Puscas +3 more
wiley +1 more source
Low synchronization GMRES algorithms
, 2018 Communication-avoiding and pipelined variants of Krylov solvers are critical for the scalability of linear system solvers on future exascale architectures. We present low synchronization variants of iterated classical (CGS) and modified Gram-Schmidt (MGS) algorithms that require one and two global reduction communication steps.
Swirydowicz, Kasia +4 more
openaire +2 more sources
International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 8, August 2025.We present a computational model for nanoparticle‐mediated hyperthermia treatment fully integrated into a multiphase porous‐media model of the tumour. Our results show that the host tissue surrounding the tumour is also exposed to considerable heat doses.
Barbara Wirthl +3 more
wiley +1 more source
Generating Approximate Inverse Preconditioners for Sparse Matrices Using CUDA and GPGPU
Journal of Algorithms & Computational Technology, 2011 The problem of numerical solution of sparse matrix-based linear systems arises from many scientific applications. Iterative solvers and corresponding preconditioning techniques are usually adopted.
Shiming Xu +3 more
doaj +1 more source
Um Método Newton-Inexato com Estratégia Híbrida para Globalização
Trends in Computational and Applied Mathematics, 2008 Neste trabalho, o objetivo é propor um algoritmo Newton-inexato com propriedade de convergência global para resolução de sistemas não-lineares. Para a globalização, propomos uma abordagem híbrida, envolvendo, além de busca linear,o método de regiões de ...
R.G. Begiato, M.A. Gomes Ruggiero
doaj +1 more source
Randomized Orthogonalization Process With Reorthogonalization
Numerical Linear Algebra with Applications, Volume 32, Issue 4, August 2025.ABSTRACT The dimension reduction technique of random sketching is advantageous in significantly reducing computational complexity. In orthogonalization processes like the Gram‐Schmidt (GS) algorithm, incorporating random sketching results in a halving of computational costs compared to the classical/modified Gram‐Schmidt (CGS/MGS) algorithms, while ...
Yongseok Jang, Laura Grigori
wiley +1 more source
Solution of Linear Systems by GMRES Method on Global Computing Platform
Journal of Algorithms & Computational Technology, 2007 By making use of a very large amount of unexploited computing resources, grid computing achieves high throughput computing. We present a classical parallel method GMRES (m) to solve large sparse linear systems utilizing a lightweight GRID system XtremWeb.
Haiwu He +3 more
doaj +1 more source