Results 51 to 60 of about 80,701 (242)

Inversion of the 𝑛-dimensional Laplace transform [PDF]

Mathematics of Computation, 1966
Series expansion of inversion of n-dimensional Laplace transforms in terms of ultraspherical polynomials having coefficient computed ...
openaire   +1 more source

A Bottom‐Up Design Framework for Multifunctional Lattice Metamaterials

Advanced Science, EarlyView.
This study introduces a generative AI framework for designing multifunctional lattice metamaterials. The method combines 3D Gaussian voxel generation with deep learning, enabling greater design freedom and structural performance. The optimized lattice metamaterials achieve enhanced energy absorption by 40–200% compared to conventional structures and ...
Zongxin Hu, Quanqing Tao, Junhao Ding, Shuo Qu, Haitao Ye, Jun Wei Chua, Tianxiao Niu, Rui Li, Winston Wai Shing Ma, Haoming Mo, Hui Liu, Wei Zhai, Xinwei Li, Xu Song   +13 more
wiley   +1 more source

Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling

Trends in Computational and Applied Mathematics, 2018
In this paper, a three-dimensional solution of the steady-state advection-diffusion equation is obtained applying the Generalized Integral Advection Diffusion Multilayer Technique (GIADMT), considering non-local closure for turbulent flow. Two different
Camila Pinto da Costa, Karine Rui, Léslie Darien Pérez-Fernández   +2 more
doaj   +1 more source

Carboranyl‐Curcuminoids for the Neutron Capture‐Based Treatment of Amyloid Aggregates in Alzheimer's Disease

Advanced Science, EarlyView.
The 10B‐enriched monocarbonyl analog of curcumin (BMAC) 10B‐9 enables site‐specific Boron Neutron Capture Therapy (BNCT) on amyloid‐β (Aβ) fibrils. Neutron irradiation induces histidine oxidation and fibril destabilization, as revealed by 1H‐NMR and FESEM analyses.
Sebastiano Micocci, Stefano Parisotto, Diego Alberti, Alberto Lanfranco, Valeria Bitonto, Polyssena Renzi, Martina Salmi, Federica Dal Bello, Katiuscia Pagano, Laura Ragona, Nicoletta Protti, Annamaria Deagostino, Simonetta Geninatti Crich   +12 more
wiley   +1 more source

Ultrafast Interfacial Engineering for Quantifiable Control of Asymmetric Configurations in Nanostructured Janus Membranes

Advanced Science, EarlyView.
Founded on a rapidly formed nanostructured tannic acid/polyethyleneimine (TA/PEI) platform, an ultrafast (∼5 min), universal interfacial engineering strategy utilizing stearoyl chloride (SC) and Phytic acid (PA) enables precise fabrication of Janus membranes across diverse substrates.
Wenqing Zhang, Jinhui Xu, Bo Li, Yao Li, Yue Zhang, Zhishu Tang, Huaxu Zhu, Jingwei Hou   +7 more
wiley   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Associated transforms for solution of nonlinear equations

International Journal of Mathematics and Mathematical Sciences, 1991
Nonlinear multivariable differential or integrodifferential equations with terms of mixed dimensionality can be solved using multidimensional Laplace transform.
Joyati Debnath, Narayan C. Debnath
doaj   +1 more source

Disentangling Aleatoric and Epistemic Uncertainty in Physics‐Informed Neural Networks: Application to Insulation Material Degradation Prognostics

Advanced Intelligent Systems, EarlyView.
Physics‐Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ) capabilities.
Ibai Ramirez, Jokin Alcibar, Joel Pino, Mikel Sanz, Jose I. Aizpurua   +4 more
wiley   +1 more source

A Laplace Transform Method for the Image In-Painting

Journal of Algorithms & Computational Technology, 2015
There are many image processing techniques based on partial differential equations that perform well, but they consume much computational time. It's vital that rapid and efficient ways of solving these equations are developed.
N. Kokulan, C.-H. Lai
doaj   +1 more source

Two‐Phase Nanofluid Flow in a Non‐Newtonian Model Past a Deformable Sheet With Magnetized Environmental Effects: Statistical Modeling and ANOVA Analysis

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This paper presents a comprehensive numerical analysis of magnetohydrodynamic (MHD) Casson nanofluid movement over a permeable, linearly stretching sheet, integrating the contributions of non‐uniform heat generation or absorption and chemical interaction.
Manoj Kumar Sahoo, MD. Shamshuddin, Subhajit Panda, Umair Khan   +3 more
wiley   +1 more source