Results 151 to 160 of about 98,184 (227)

Sums of three positive cubes

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We survey ideas surrounding the study of the number of integers that can be represented as the sum of three positive cubes. We focus on the early contribution of Davenport using elementary techniques, and the subsequent developments due to Vaughan, which introduced Fourier analysis and mirrored many of the important developments of the Hardy ...
James Maynard
wiley   +1 more source

Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 8, 30 April 2026.
ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea   +2 more
wiley   +1 more source

Efficient Energy‐Stable Discontinuous Galerkin Scheme for the Non‐Isothermal Cahn–Hilliard–Navier–Stokes Two‐Phase Fluid Flow System

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT In this article, we propose a novel numerical framework for the non‐isothermal Cahn–Hilliard–Navier–Stokes two‐phase flow system, which couples the incompressible Navier–Stokes equations, the Cahn–Hilliard phase‐field equation, and the heat transport equation to capture temperature‐dependent two‐phase flow dynamics.
Guang‐An Zou   +4 more
wiley   +1 more source

Multiple Time‐Scale Homogenization of Coupled Corrosion‐Fatigue in Structural Concrete

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT Reinforced concrete structures exposed to chloride‐rich environments and cyclic mechanical loading experience simultaneous corrosion of steel reinforcement and fatigue‐induced concrete cracking, leading to complex, nonlinear degradation that cannot be accurately captured by conventional sequential analyses.
Manikandan Gopakumar   +3 more
wiley   +1 more source

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