Results 141 to 150 of about 3,602 (250)
This article presents a local radial basis function-based differential quadrature method for solving the time-fractional advection-diffusion equation. Backward difference formula is utilized to approximate Caputo fractional derivative.
ALi, Arshed +2 more
core +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid
International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 969-979, August 2026.This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley +1 more source
Magnetic Resonance in Medicine, Volume 96, Issue 2, Page 711-726, August 2026.ABSTRACT Purpose Ultrashort echo time (UTE) techniques are essential for the magnetic resonance imaging of short‐T2 signals. Current UTE techniques are time‐consuming and often require the acquisition of an inflexible volume. In this work, we implement new UTE sequences—differential single‐block presaturated UTE (δSB‐UTE) and differential multi‐block ...
Jason A. Reich +5 more
wiley +1 more source
Improved Radiofrequency Safety Modelling in MRI Using In Vivo Measurements of Brain Conductivity
NMR in Biomedicine, Volume 39, Issue 8, August 2026.A workflow for the comparison of simulated and measured B1+$$ {B}_1^{+} $$ maps was developed and applied to a study on human tissue (brain) electrical conductivity, investigating differences between conductivity values from ex vivo and in vivo measurements.
Guillaume Paillart +7 more
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
Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12524-12538, 30 July 2026.ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley +1 more source
A Hybrid‐High Order Method for Fracture Modelling
International Journal for Numerical Methods in Engineering, Volume 127, Issue 13, 15 July 2026.ABSTRACT In this work we introduce a new Hybrid High‐Order method for the numerical simulation of fracture propagation based on phase‐field models. The proposed method: supports general meshes made of polygonal/polyhedral elements, which provides great flexibility in mesh design and adaptation; can accommodate large variations of both the displacement ...
Alessandra Crippa +4 more
wiley +1 more source
Journal of Magnetic Resonance Imaging, Volume 64, Issue 1, Page 266-280, July 2026.ABSTRACT Background Hyperpolarized 129Xe MRI faces technical challenges including low signal‐to‐noise ratio and breath‐hold constraints. Current literature focuses on proprietary deep learning methods or image‐domain enhancements. Purpose To present a comprehensive evaluation of transformer and hybrid CNN‐transformer architectures integrating dual ...
Ramtin Babaeipour +3 more
wiley +1 more source
Medical Physics, Volume 53, Issue 7, July 2026.Abstract Background FLASH radiotherapy requires further preclinical and clinical investigation to establish its biological effectiveness and define optimal beam parameters. In conventional (CONV) radiotherapy, redundant beam termination systems are a cornerstone ensuring patient safety, yet analogous safeguards for FLASH delivery are not well ...
Justin DeFrancisco +5 more
wiley +1 more source