Results 91 to 100 of about 575 (217)
Advancements in corrected Euler–Maclaurin-type inequalities via conformable fractional integrals
Boundary Value ProblemsIn this research article, equality is proved to obtain corrected Euler–Maclaurin-type inequalities. Using this identity, we establish several corrected Euler–Maclaurin-type inequalities for the case of differentiable convex functions by means of ...
Yaren Acar +4 more
doaj +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
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT Numerous mesh‐distortion‐insensitive Petrov‐Galerkin finite element formulations have been developed for the simulation of elastostatic problems. This contribution presents initial results on how these formulations can be extended to linear elastodynamics. In this context, three different approaches are examined, building upon an established 8‐
Felix Zähringer, Peter Betsch
wiley +1 more source
Efficient Nyström-type method for the solution of highly oscillatory Volterra integral equations of the second kind. [PDF]
PLoS One, 2023 Wu Q, Sun M.
europepmc +1 more source
Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei +5 more
wiley +1 more source
New error bounds for Newton’s formula associated with tempered fractional integrals
Boundary Value ProblemsIn this paper, we first construct an integral identity associated with tempered fractional operators. By using this identity, we have found the error bounds for Simpson’s second formula, namely Newton–Cotes quadrature formula for differentiable convex ...
Fatih Hezenci, Hüseyin Budak
doaj +1 more source
Nanophotonics, Volume 15, Issue 14, 27 July 2026.This study demonstrates, for the first time, a 3D volumetric cylindrical vector beam (CVB) multicasting architecture that employs multichannel array modes with an operational dimension of 3 × 3 × 5 as information carriers. This approach offers substantial potential for high‐capacity information dissemination in mode‐multiplexed communication networks ...
Zhiqiang Xie +8 more
wiley +1 more source
On the numerical calculation of Hadamard finite-part integrals
Le Matematiche, 1998 In this paper we consider a simple method for calculating integrals possessing strong singularities, to be interpreted in the Hadamard finite-part sense.
Ezio Venturino
doaj
A discrete ordinates Boltzmann solver for application to inverse planning of photons and protons. [PDF]
Phys Med Biol, 2023 Bedford JL.
europepmc +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