Results 101 to 110 of about 775,228 (224)

Subspace Acceleration for Efficient Nonlinear Water Wave Simulation

International Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1165-1180, October 2026.
We introduce an exponentially weighted subspace acceleration technique to reduce GMRES iterations for solving the Poisson equation with time‐dependent coefficients in nonlinear, dispersive free‐surface flows governed by the incompressible Navier‐Stokes equations. The method significantly reduces memory requirements and computational complexity compared
Rasmus Kleist Hørlyck Sørensen, Margherita Guido, Allan Peter Engsig‐Karup, Daniel Kressner   +3 more
wiley   +1 more source

Quaternion Fourier Transforms for Signal and Image Processing

, 2014
Based on updates to signal and image processing technology made in the last two decades, this text examines the most recent research results pertaining to Quaternion Fourier Transforms.
Le Bihan , Nicolas, Sangwine, Stephen J., Ell, Todd A.   +2 more
core  

Short‐Wavelength Seafloor Topography From SWOT Marine‐Gravity Products Using a Transformer U‐Net With Hybrid Loss

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 5, October 2026.
Abstract Classical satellite altimetry has limited sensitivity to seafloor topography at wavelengths shorter than about 150 km, leaving short‐wavelength structure poorly constrained away from ship tracks. The Surface Water and Ocean Topography (SWOT) mission improves gravity recovery at these scales.
Ruichen Zhou, Peng Peng, Haoming Yan, Zizhan Zhang, Jiuke Wang, Binbin Liao, Jinyun Guo, Nico Sneeuw   +7 more
wiley   +1 more source

Applications of the integral transforms composition method to wave-type singular differential equations and index shift transmutations

Electronic Journal of Differential Equations, 2018
In this article we study applications of integral transforms composition method (ITCM) for obtaining transmutations via integral transforms. It is possible to derive wide range of transmutation operators by this method.
Ahmed Fitouhi, Iness Jebabli, Elina L. Shishkina, Sergei M. Sitnik   +3 more
doaj  

On spherical averages of radial basis functions [PDF]

, 2008
A radial basis function (RBF) has the general form $$s(x)=\sum_{k=1}^{n}a_{k}\phi(x-b_{k}),\quad x\in\mathbb{R}^{d},$$ where the coefficients a 1,…,a n are real numbers, the points, or centres, b 1,…,b n lie in ℝ d , and φ:ℝ d →ℝ is a radially symmetric
Baxter, Brad J.C.
core   +1 more source

Deep Network Reparameterized Full‐Waveform Inversion From Sequential to Simultaneous Sources With Adjoint‐State Method

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 5, October 2026.
Abstract Full‐waveform inversion (FWI) relies on sequential‐source (SQ) workflows for high imaging precision, while simultaneous‐source (SML) encoding drastically accelerates computation but introduces irreversible wavenumber discontinuity artifacts in hybrid‐domain implementations.
Jinwei Fang, Jie Chen, Lutz Gross, Qingchen Zhang, Ning Wang   +4 more
wiley   +1 more source

Direct Construction of Quantized Tensor Trains With Small Rank for Laplace‐ or Gaussian‐Transformed Analytic Functions

International Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.
ABSTRACT Preparing quantum states with desired amplitude distributions is a key bottleneck in the implementation of quantum linear and nonlinear dynamics solvers, including Linear Combination of Hamiltonian Simulation (LCHS) and Schrödingerization. We present a direct, closed‐form construction of Quantized Tensor Train (QTT) representations for two ...
Katsuhiro Endo, Kazuaki Z. Takahashi
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Integral transformation for nonlinear oscillators

Journal of Low Frequency Noise, Vibration and Active Control
This paper introduces a generalized integral transform that encompasses the Laplace, Fourier, and numerous contemporary integral transforms as particular instances, while preserving their defining characteristics.
Xue-Chen Dong, Qiu-Yu Ou, Yi-Han Wu, Jiahui Yu   +3 more
doaj   +1 more source

Appell Transformation and Canonical Transforms

Symmetry, Integrability and Geometry: Methods and Applications, 2011
The interpretation of the optical Appell transformation, as previously elaborated in relation to the free-space paraxial propagation under both a rectangular and a circular cylindrical symmetry, is reviewed.
Amalia Torre
doaj   +1 more source