Results 61 to 70 of about 2,215,169 (319)

Stochastic dynamic equations on general time scales

Electronic Journal of Differential Equations, 2013
In this article, we construct stochastic integral and stochastic differential equations on general time scales. We call these equations stochastic dynamic equations.
Martin Bohner, Olexandr M. Stanzhytskyi, Anastasiia O. Bratochkina   +2 more
doaj  

Singular stochastic integral operators

, 2020
In this paper we introduce Calder\'on-Zygmund theory for singular stochastic integrals with operator-valued kernel. In particular, we prove $L^p$-extrapolation results under a H\"ormander condition on the kernel.
Lorist, Emiel, Veraar, Mark
core  

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Numerical solution of nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets

Advances in Difference Equations, 2019
In this paper, an efficient numerical method is presented for solving nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets.
Jieheng Wu, Guo Jiang, Xiaoyan Sang
doaj   +1 more source

On operators of stochastic differentiation on spaces of regular test and generalized functions of Lévy white noise analysis

Karpatsʹkì Matematičnì Publìkacìï, 2014
The operators of stochastic differentiation, which are closely related with the extended Skorohod stochastic integral and with the Hida stochastic derivative, play an important role in the classical (Gaussian) white noise analysis.
M.M. Dyriv, N.A. Kachanovsky
doaj   +1 more source

Anticipative backward stochastic differential equations driven by fractional Brownian motion

, 2016
We study the anticipative backward stochastic differential equations (BSDEs, for short) driven by fractional Brownian motion with Hurst parameter H greater than 1/2.
Shi, Yufeng, Wen, Jiaqiang
core   +1 more source

What Do Large Language Models Know About Materials?

Advanced Engineering Materials, EarlyView.
If large language models (LLMs) are to be used inside the material discovery and engineering process, they must be benchmarked for the accurateness of intrinsic material knowledge. The current work introduces 1) a reasoning process through the processing–structure–property–performance chain and 2) a tool for benchmarking knowledge of LLMs concerning ...
Adrian Ehrenhofer, Thomas Wallmersperger, Gianaurelio Cuniberti   +2 more
wiley   +1 more source

Stochastic Calculus for a Time-changed Semimartingale and the Associated Stochastic Differential Equations

, 2010
It is shown that under a certain condition on a semimartingale and a time-change, any stochastic integral driven by the time-changed semimartingale is a time-changed stochastic integral driven by the original semimartingale.
B. Øksendal, D. Applebaum, D. Revuz, I. Karatzas, J. Jacod, J. Jacod, J. Kallsen, J.M. Steele, K.-I. Sato, Kei Kobayashi, L. Bondesson, M.G. Hahn, M.M. Meerschaert, M.M. Meerschaert, M.M. Meerschaert, P. Protter, R. Gorenflo, T.C. Gard   +17 more
core   +1 more source

Multimodal Mechanical Testing of Additively Manufactured Ti6Al4V Lattice Structures: Compression, Bending, and Fatigue

Advanced Engineering Materials, EarlyView.
In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart, Jonas Schmidt, Anastasiya Toenjes, Johanna Eisenträger   +3 more
wiley   +1 more source

Controllability of nonlinear stochastic neutral fractional dynamical systems

Nonlinear Analysis, 2017
In this paper, we obtain an equivalent nonlinear integral equation to the stochastic neutral fractional system with bounded operator. Using the integral equation, the sufficient conditions for ensuring the complete controllability of the stochastic ...
Mabel Lizzy Rajendran, Krishnan Balachandran, Juan J. Trujillo   +2 more
doaj   +1 more source