Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 8044-8060, 30 May 2026.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
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Maximum norm error estimates of fourth-order compact difference scheme for the nonlinear Schrödinger equation involving a quintic term. [PDF]
J Inequal Appl, 2018 Hu H, Hu H.
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A Stable and Accurate X‐FFT Solver for Linear Elastic Homogenization Problems in 3D
International Journal for Numerical Methods in Engineering, Volume 127, Issue 10, 30 May 2026.ABSTRACT Although FFT‐based methods are renowned for their numerical efficiency and stability, traditional discretizations fail to capture material interfaces that are not aligned with the grid, resulting in suboptimal accuracy. To address this issue, the work at hand introduces a novel FFT‐based solver that achieves interface‐conforming accuracy for ...
Flavia Gehrig, Matti Schneider
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On the convergence of a high-accuracy compact conservative scheme for the modified regularized long-wave equation. [PDF]
Springerplus, 2016 Pan X, Zhang L.
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Optimal decay rates for the compressible viscoelastic flows. [PDF]
J Math Phys, 2016 Li Y, Wei R, Yao ZA.
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Segmented polynomials for incidence rate estimation from prevalence data. [PDF]
Stat Med, 2017 Mahiané SG, Laeyendecker O.
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Convergence and adaptive discretization of the IRGNM Tikhonov and the IRGNM Ivanov method under a tangential cone condition in Banach space. [PDF]
Numer Math (Heidelb), 2018 Kaltenbacher B, Previatti de Souza ML.
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Optimal Runge approximation for nonlocal wave equations and unique determination of polyhomogeneous nonlinearities. [PDF]
Calc Var Partial Differ EquLin YH, Tyni T, Zimmermann P.
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The qualitative behavior at the free boundary for approximate harmonic maps from surfaces. [PDF]
Math Ann, 2019 Jost J, Liu L, Zhu M.
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The conditions of failing and successful plant invasions with free boundary. [PDF]
Sci RepLi R, Zhu L, Zhou Y.
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