Results 61 to 70 of about 561,284 (332)

Stochastic Stability of Differential Equations in Abstract Spaces

, 2019
We begin by recalling some basic definitions and results, especially those from functional analysis, partial differential equations (PDEs), probability, and stability theories.
Kai Liu
semanticscholar   +1 more source

Trans‐Conductive Melt Pool Scaling and its Implications for Parameter Transfer in Laser Powder Bed Fusion for Metals with High Thermal Diffusivity

Advanced Engineering Materials, EarlyView.
Developing process parameters for the laser‐based Powder Bed Fusion of metals can be a tedious task. Based on melt pool depth, the process parameters are transferable to different laser scan speeds. For this, understanding the melt pool scaling behavior is essential, particularly for materials with high thermal diffusivity, as a change in scaling ...
Markus Döring, Matthias Gehring, Michael Schmidt   +2 more
wiley   +1 more source

Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation

Abstract and Applied Analysis, 2011
This paper investigates the existence and uniqueness of mild solutions to the general nonlinear stochastic impulsive differential equations. By using Schaefer's fixed theorem and stochastic analysis technique, we propose sufficient conditions on ...
L. J. Shen, J. T. Sun
doaj   +1 more source

Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials

Advanced Engineering Materials, EarlyView.
This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani, Surabhi Nadigotti, Erfan Fatehi, Derek Aranguren van Egmond, Behnam Ashrafi   +4 more
wiley   +1 more source

A linear numerical scheme for nonlinear BSDEs with uniformly continuous coefficients

Journal of Applied Mathematics, 2004
We attempt to present a new numerical approach to solve nonlinear backward stochastic differential equations. First, we present some definitions and theorems to obtain the condition, from which we can approximate the nonlinear term of the backward ...
Omid. S. Fard, Ali V. Kamyad
doaj   +1 more source

Fourier Spectral Methods for Some Linear Stochastic Space-Fractional Partial Differential Equations

Mathematics, 2016
Fourier spectral methods for solving some linear stochastic space-fractional partial differential equations perturbed by space-time white noises in the one-dimensional case are introduced and analysed.
Yanmei Liu, Monzorul Khan, Yubin Yan
doaj   +1 more source

Computational analysis of the coronavirus epidemic model involving nonlinear stochastic differential equations

AIP Advances, 2023
Stochastic methods significantly solve stochastic differential equations such as stochastic equations with a delay, stochastic fractional and fractal equations, stochastic partial differential equations, and many more.
Wafa F. Alfwzan, Kinda Abuasbeh, Ali Raza, Zunair Zeb, Muath Awadalla, Norah Alfadhli   +5 more
doaj   +1 more source

Large‐Scale Interlaboratory Study Along the Entire Process Chain of Laser Powder Bed Fusion: Bridging Variability, Standards, and Optimization across Metals and Polymers

Advanced Engineering Materials, EarlyView.
What happens when 32 labs join forces to study nanoparticle‐modified powders? A data‐driven journey through laser powder bed fusion—now openly accessible for the entire additive manufacturing community—is studied. Laser powder bed fusion is a cornerstone technology for additive manufacturing (AM) of metals and polymers, yet challenges in achieving ...
Ihsan Murat Kuşoğlu, Sunidhi Garg, Arvid Abel, Prasanna V. Balachandran, Stephan Barcikowski, Louis Becker, Jan-Simeon Bernsmann, Jonas Boseila, Christoph Broeckmann, Mert Coskun, Malte Dreyer, Mark East, Mark Easton, Nils Ellendt, Stan Gann, Bilal Gökce, Mareen Goßling, Joachim Greiner, Piotr Gruber, Moritz Grünewald, Kopila Gurung, Nick Hantke, Florian Hengsbach, Hannes Holländer, Brecht Van Hooreweder, Kay-Peter Hoyer, Yajiang Huang, Florian Huber, Olaf Kessler, Burçin Özbay Kısasöz, Stefan Kleszczynski, Ebubekir Koc, Tomasz Kurzynowski, Arno Kwade, Simon Leupold, Dongmei Liu, Felix Lomo, Arne Lüddecke, Gerrit A. Luinstra, David A. Mauchline, Fabian Meyer, Lars Meyer, Peter Middendorf, Stefan Nolte, Michał Olejarczyk, Ludger Overmeyer, Andrij Pich, Sebastian Platt, Felix Radtke, Roland Ramm, Silja-Katharina Rittinghaus, Richard Rothfelder, Johannes Rudloff, Mirko Schaper, Marie Luise Scheck, Johannes Henrich Schleifenbaum, Michael Schmidt, Jan T. Sehrt, Yvonne P. Shabanga, Alexander Sommereyns, Rabea Steuer, Layla Shams Tisha, Anastasiya Toenjes, Christopher Tuck, Adrian Vaghar, Bey Vrancken, Zhengze Wang, Sebastian Weber, Jan Wegner, Bai-Xiang Xu, Yangyiwei Yang, Duyao Zhang, Evgeny Zhuravlev, Anna R. Ziefuss   +73 more
wiley   +1 more source

Shape Memory Polymer‐Based Hook‐and‐Loop Fastener for Robust Bonding and on‐Demand Easy Separation

Advanced Engineering Materials, EarlyView.
A 3D shape memory polymer‐based hook‐and‐loop fastener, fabricated using projection microstereolithography and molding, offers tunable bonding strength through temperature control. When heated from 25 to 70 °C, the fastener softens and deforms easily, reducing bonding strength by 20‐fold for on‐demand easy separation.
Chen Yang, Yueping Wang, Hyunggyu Kim, Paul Wang, Daehoon Han, Howon Lee   +5 more
wiley   +1 more source

3D‐Printed Architected Material for the Generation of Foam‐Based Protective Equipment

Advanced Engineering Materials, EarlyView.
This study investigates 3D‐printed architected structures as alternatives to traditional foams in protective gear. It focuses on customizing impact strength and damping through design and manufacturing integration. Testing shows these structures outperform conventional foams, offering enhanced customizability, lower weight, and tunable performance ...
Ali Zolfagharian, Gerard Bel Català, Daniel Saakes, Bernard Rolfe, Ian Gibson, Mehrshad Mehrpouya   +5 more
wiley   +1 more source