Results 21 to 30 of about 121 (92)
Iterative Krylov Subspace Methods for Linear Port‐Hamiltonian Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT In this work, we present a structure‐preserving Krylov subspace iteration scheme for solving the equation systems that arise from the Gauss integration of linear energy‐conserving and dissipative differential systems (e.g., Poisson systems, gradient systems, and port‐Hamiltonian systems).
Stefan Maier, Nicole Marheineke
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CAAI Transactions on Intelligence Technology, Volume 11, Issue 3, Page 681-694, June 2026.ABSTRACT Parameter‐efficient fine‐tuning (PEFT) has become a crucial paradigm for domain adaptation, achieving strong performance by updating only a small fraction of model parameters. Among various PEFT methods, low‐rank adaptation (LoRA) is widely adopted due to its structural simplicity and computational efficiency.
Xu Luo +4 more
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Toward Genuine Efficiency and Cluster Robustness of Preconditioned CG‐Like Eigensolvers
Numerical Linear Algebra with Applications, Volume 33, Issue 2, April 2026.ABSTRACT The locally optimal block preconditioned conjugate gradient (LOBPCG) method is a popular solver for large and sparse Hermitian eigenvalue problems. However, recently proposed alternatives for its single‐vector version LOPCG indicate certain problematic cases with less accurate preconditioners and clustered target eigenvalues.
Ming Zhou, Klaus Neymeyr
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Conformal Coordinates for Molecular Geometry: From 3D to 5D
Journal of Computational Chemistry, Volume 47, Issue 4, February 5, 2026.The figure illustrates the conformal representation of ℝ3$$ {\mathbb{R}}^3 $$ in a non‐Euclidean five‐dimensional space ℍ$$ \mathbb{H} $$. Each point x∈ℝ3$$ x\in {\mathbb{R}}^3 $$ is described with two additional vectors, e0$$ {e}_0 $$ and e∞$$ {e}_{\infty } $$, so that Euclidean distances in ℝ3$$ {\mathbb{R}}^3 $$ can be recovered via inner products ...
Jesus Camargo +2 more
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Adaptive Feedback‐Driven Gram‐Schmidt Pansharpening: An Iterative Quality Enhancement Framework
IET Image Processing, Volume 20, Issue 1, January/December 2026.We propose an adaptive feedback‐driven pansharpening (AFDP) framework that enhances the classical Gram‐Schmidt (GS) method by iteratively refining the fusion process using low‐pass‐filtered updates and a QNR‐based stopping criterion. Unlike traditional GS sharpening, which injects panchromatic details in a single step, the AFDP approach gradually ...
Mohamed Ghadjati +6 more
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Concepts in Magnetic Resonance Part A, Volume 2026, Issue 1, 2026.Resting‐state functional MRI (rsfMRI) analysis relies on complex mathematical operations whose properties and pitfalls are often poorly understood, leading to interpretational errors and suboptimal processing choices. This work presents novel mathematical insights for rsfMRI analysis through three key contributions: (1) a unified geometric framework ...
Chisondi S. Warioba, Gianluigi Veglia
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Solving Systems of Fractional‐Order Differential Equations Using a Reproducing Kernel‐Based Approach
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a new technique utilizing the reproducing kernel method (RKM) to solve both linear and nonlinear systems of fractional‐order differential equations (SFDEs). The technique carefully integrates essential elements, including the solution space, basis functions, strategic point selection, and a suitable inner product.
Taher Amoozad +4 more
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 23, 15 December 2025.ABSTRACT We develop efficient hyperreduction methods for projection‐based model reduction of nonlinear partial differential equations (PDEs) with a large number of parameters and/or large parametric extents. Our formulation is based on the empirical quadrature procedure (EQP), which solves an optimization problem that involves “residual‐matching ...
Adrian Humphry, Masayuki Yano
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Incremental Model Order Reduction of Smoothed‐Particle Hydrodynamic Simulations
International Journal for Numerical Methods in Fluids, Volume 97, Issue 12, Page 1571-1594, December 2025.The paper presents the development of an incremental singular value decomposition strategy for compressing time‐dependent particle simulation results, addressing gaps in the data matrices caused by temporally inactive particles. The approach reduces memory requirements by about 90%, increases the computational effort by about 10%, and preserves the ...
Eduardo Di Costanzo +3 more
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The Fourier-Laplace Transform-A Conjugate Link Between the Material Brain and the Conscious Mind. [PDF]
Front Hum Neurosci, 2021 Brändas EJ.
europepmc +1 more source