Results 101 to 110 of about 1,122,320 (225)
Abstract and Applied Analysis, 2014 We propose the local fractional function decomposition method, which is derived from the coupling method of local fractional Fourier series and Yang-Laplace transform.
Shun-Qin Wang +2 more
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The Analytical Solution of Parabolic Volterra Integro-Differential Equations in the Infinite Domain
Entropy, 2016 This article focuses on obtaining analytical solutions for d-dimensional, parabolic Volterra integro-differential equations with different types of frictional memory kernel. Based on Laplace transform and Fourier transform theories, the properties of the
Yun Zhao, Fengqun Zhao
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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 +3 more
wiley +1 more source
INTEGRAL TRANSFORMS WITH THE HOMOTOPY PERTURBATION METHOD AND SOME APPLICATIONS [PDF]
This paper applies He's homotopy perturbation method to compute a large variety of integral transforms. As illustration, the paper gives special attention to the Esscher transform, the Fourier transform, the Hankel transform, the Mellin transform, the ...
Jules Sadefo Kamdem
core
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 +7 more
wiley +1 more source
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 +4 more
wiley +1 more source
Solutions to Time-Fractional Diffusion-Wave Equation in Cylindrical Coordinates
Advances in Difference Equations, 2011 Nonaxisymmetric solutions to time-fractional diffusion-wave equation with a source term in cylindrical coordinates are obtained for an infinite medium. The solutions are found using the Laplace transform with respect to time , the Hankel transform with ...
Povstenko YZ
doaj
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
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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
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, Volume 28, Issue 17, 9 September 2026.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
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