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Periodic solution for a delay integro-differential equation in biomathematics [PDF]

, 2003
Sufficient conditions for the existence and uniqueness of periodic solution of a delay integro-differential equation which arise in biomathematics are given.
Bica, Alexandru Mihai, Muresan, Sorin
core   +3 more sources

Peridynamic Modelling of Process‐Dependent Material Strength in Additive Manufacturing

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Additive Manufacturing (AM) processes create complex, process‐dependent material properties during printing that cannot be measured in advance and are governed by parameters, such as tool path, temperature history and cooling conditions. A Peridynamics (PD) correspondence framework is presented for simulating the entire AM process chain ...
Christian Willberg, Jan‐Timo Hesse
wiley   +1 more source

Solving the Integral Differential Equations with Delayed Argument by Using the DTM Method

Sensors, 2022
Recently, a lot of attention has been paid to the field of research connected with the wireless sensor network and industrial internet of things. The solutions found by theorists are next used in practice in such area as smart industries, smart devices ...
Edyta Hetmaniok, Mariusz Pleszczyński, Yasir Khan   +2 more
doaj   +1 more source

Four Decades of Research at the MADE Site and Beyond: Advancing the Understanding and Modeling of Solute Transport in Heterogeneous Media

Reviews of Geophysics, Volume 64, Issue 4, December 2026.
Abstract Spatial heterogeneity, manifested as strong variability in hydraulic conductivity (K) within geological formations, exerts a fundamental control on groundwater flow and solute transport. Because K can vary over multiple orders of magnitude in complex three‐dimensional patterns, predicting contaminant plume migration remains a long‐standing ...
Zhilin Guo, Maosheng Yin, Peiyao Dong, Yong Zhang, Kewei Chen, Graham Fogg, Brian Berkowitz, Marco Dentz, Chunmiao Zheng   +8 more
wiley   +1 more source

New applications of the two variable (G′/G, 1/G)-expansion method for closed form traveling wave solutions of integro-differential equations

Journal of Ocean Engineering and Science, 2019
Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution equations.
M. Mamun Miah, H.M. Shahadat Ali, M. Ali Akbar, Aly R. Seadawy   +3 more
doaj   +1 more source

Tensor‐Train Compression of a Volume Integral Eddy Current Problem in Discontinuous Galerkin

International Journal for Numerical Methods in Engineering, Volume 127, Issue 21, 15 November 2026.
ABSTRACT The paper presents a low‐rank tensor compression strategy based on the tensor‐train (TT) format for the integral operator arising in eddy current problems. Unlike classical matrix compression techniques such as the fast multipole method (FMM) or hierarchical matrices (ℋ$$ \mathscr{H} $$‐matrices), which typically compress only far‐field ...
Anthony Torosyan, Bertrand Bannwarth, Olivier Chadebec, Jean‐Michel Guichon, Gérard Meunier, Jean‐René Poirier   +5 more
wiley   +1 more source

Rethinking Mistrust: Elements Toward a Situated Theory on Immigrant Workers

Canadian Review of Sociology/Revue canadienne de sociologie, Volume 63, Issue 4, November 2026.
ABSTRACT This article explores mistrust as a socially situated phenomenon by using the care trajectories of injured immigrant workers in Québec as a conceptual entry point. Rather than focusing on the individual characteristics of trusters, it examines how mistrust emerges from a subjective evaluation of environments perceived as threatening.
Maude Arsenault, Daniel Côté
wiley   +1 more source

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

Communications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo   +2 more
wiley   +1 more source

Analysis of Eigenvalue Clustering Leads to Optimal Scaling in Numerical Radiative Transfer

Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.
ABSTRACT We consider a multidimensional polychromatic radiative transfer (RT) problem, accounting for scattering processes in a general form, that is, anisotropic (dipole) scattering with partial frequency redistribution. Given a discrete ordinates (SN$$ {S}_N $$) discretization, we report the corresponding matrix structures, depending on the model and
Pietro Benedusi, Simone Riva, Luca Belluzzi, Stefano Serra‐Capizzano   +3 more
wiley   +1 more source

On the behavior of the solutions for certain neutral delay integro-differential equations [PDF]

E-Journal of Analysis and Applied Mathematics
Some results are given on the behavior of solutions of scalar linear and constant coefficient neutral delay integro-differential equations. These results are obtained using two different real roots of the relevant characteristic equation.
Ali Fuat Yeniçerioglu
doaj   +1 more source