Results 41 to 50 of about 612 (138)

A Broadband Enhanced Structure-Preserving Reduced-Order Interconnect Macromodeling Method for Large-Scale Equation Sets of Transient Interconnect Circuit Problems

Energies, 2020
In the transient analysis of an engineering power electronics device, the order of its equivalent circuit model is excessive large. To eliminate this issue, some model order reduction (MOR) methods are proposed in the literature.
Ning Wang, Huifang Wang, Shiyou Yang
doaj   +1 more source

Multiphysics Simulation of Positive Streamer Discharge in Air Using Finite Element Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.
ABSTRACT Streamer discharge modeling by means of the Finite Element Method (FEM) presents a formidable challenge in computational physics due to its nonlinear and convection‐dominated characteristics that cause numerical instabilities, including negative densities of charged particles.
Hasupama Jayasinghe, Bilen Emek Abali, Liliana Arevalo, Vernon Cooray   +3 more
wiley   +1 more source

A Time-Segmented SAI-Krylov Subspace Approach for Large-Scale Transient Electromagnetic Forward Modeling

Applied Sciences
After nearly two decades of development, transient electromagnetic (TEM) 3D forward modeling technology has significantly improved both numerical precision and computational efficiency, primarily through advancements in mesh generation and the ...
Ya’nan Fan, Kailiang Lu, Juanjuan Li, Tianchi Fu   +3 more
doaj   +1 more source

Compile‐Once Block Encodings for Masked Similarity‐Transformed Effective Hamiltonians

Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.
Composer transforms structured electronic‐structure operators into a reusable quantum‐circuit fabric. Once compiled, the same block‐encoding architecture is re‐dialed through coefficients, rotation angles, and masks to generate similarity‐transformed effective Hamiltonians across related problem instances, avoiding repeated structural recompilation ...
Bo Peng, Yuan Liu, Karol Kowalski
wiley   +1 more source

Detecting When One Probe Vector is Enough for Preconditioned Log‐Determinant Approximation

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We present randomized algorithms for estimating the log‐determinant of regularized symmetric positive semi‐definite matrices. The algorithms access the matrix only through matrix vector products, and are based on the introduction of a preconditioner and stochastic trace estimator.
Alice Cortinovis, Daniele Toni
wiley   +1 more source

Spectral Analysis of Block Diagonally Preconditioned Multiple Saddle‐Point Matrices With Inexact Schur Complements

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We derive eigenvalue bounds for symmetric block‐tridiagonal multiple saddle‐point systems preconditioned with block‐diagonal Schur complement matrices. This analysis applies to an arbitrary number of blocks and accounts for the case where the Schur complements are approximated, generalizing the findings in [11, Bergamaschi et al., Linear ...
Marco Pilotto, Luca Bergamaschi, Ángeles Martínez   +2 more
wiley   +1 more source

The Use of Restarted Krylov Methods for Large Sparse Least Squares Problems

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT The use of restarted Krylov methods for solving large sparse linear least squares problems suffers from certain inherited difficulties. One of them arises in ill‐conditioned problems, when part of the residual vector is spanned by singular vectors that correspond to small singular values.
Achiya Dax
wiley   +1 more source

A Fast Solution for the Generalized Radial Basis Functions Interpolant

IEEE Access, 2020
In this paper, we propose a fast solution method of the generalized radial basis functions interpolant for global interpolation. The method can be used to efficiently interpolate large numbers of geometry constraints for implicit surface reconstruction ...
Deyun Zhong, Liguan Wang, Lin Bi
doaj   +1 more source

Mixed Precision Augmented GMRES

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We aim to accelerate the restarted generalized minimal residual (GMRES) method for the solutions of linear systems by combining two types of techniques. On the one hand, mixed precision GMRES algorithms, which use lower precision in certain steps of the inner cycles, offer significant reductions in computational and memory costs.
Yongseok Jang, Pierre Jolivet, Théo Mary   +2 more
wiley   +1 more source

Re-Orthogonalized/Affine GMRES and Orthogonalized Maximal Projection Algorithm for Solving Linear Systems

Algorithms
GMRES is one of the most powerful and popular methods to solve linear systems in the Krylov subspace; we examine it from two viewpoints: to maximize the decreasing length of the residual vector, and to maintain the orthogonality of the consecutive ...
Chein-Shan Liu, Chih-Wen Chang , Chung-Lun Kuo    +2 more
doaj   +1 more source