Results 111 to 120 of about 1,146 (216)
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley +1 more source
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT While recent Anderson acceleration (AA) convergence theory [Pollock et al., IMA Num. An., 2021] requires that the AA optimization norm match the Hilbert space norm associated with the fixed point operator, in implementations the ℓ2$$ {\ell}^2 $$ norm is the most common choice. So far there is little research done regarding this discrepancy. To
Elizabeth Hawkins, Leo G. Rebholz
wiley +1 more source
Journal of Clinical Periodontology, Volume 53, Issue 7, Page 1226-1252, July 2026.ABSTRACT Aim To synthesize evidence on gingival diseases and conditions in children and adolescents (< 18 years) without known systemic disorder involvement, focusing on their distribution, aetiology, diagnosis, management and oral health–related quality of life (OHRQoL).
Georgios Tsilingaridis +4 more
wiley +1 more source
Advanced Science, Volume 13, Issue 33, 15 June 2026.We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich +2 more
wiley +1 more source
Advanced Science, Volume 13, Issue 34, 19 June 2026.Inspired by the mimosa, this study develops a flexible triboelectric nanogenerator with a novel microneedle array and battery‐mimetic architecture. The device introduces a spontaneous charge self‐regulation mechanism that confines the electric field below the air breakdown threshold, and achieves an outstanding charge density of 396.50 µC m−2 ...
Hanpeng Gao +7 more
wiley +1 more source
Dynamical analysis and exact solitary wave solutions of [Formula: see text]-dimensional integro-differential Jaulent-Miodek equation using two analytical schemes. [PDF]
Sci RepNasir B +5 more
europepmc +1 more source
AIChE Journal, Volume 72, Issue 6, June 2026.Abstract This article demonstrates the integration of in‐line mass spectrometry as a process analytical technology (PAT) tool with model‐based soft sensors in a continuous filtration‐drying carousel system for solid–liquid separation (SLS) of crystal slurries.
Inyoung Hur +3 more
wiley +1 more source
Analytical analysis of the nonlinear fractional order Pochhammer-Chree equation with power-law nonlinearity in elastic materials. [PDF]
Sci RepKhalid M, Khalid NA, Ceesay B, Ahmed N.
europepmc +1 more source
Biotechnology and Bioengineering, Volume 123, Issue 6, Page 1465-1480, June 2026.ABSTRACT The growing demand for biopharmaceutical products reflects their effectiveness in medical treatments. However, developing new biopharmaceuticals remains a major bottleneck, often taking up to a decade before market approval. Machine learning (ML) models have the potential to accelerate this process, but their success depends on access to large
Mohammad Golzarijalal +2 more
wiley +1 more source
Numerical bifurcation analysis of turing and symmetry broken patterns of a PDE model for vegetation dynamics. [PDF]
J Math BiolSpiliotis K +3 more
europepmc +1 more source