Results 61 to 70 of about 15,183 (310)

Entropy Production Rate of a One-Dimensional Alpha-Fractional Diffusion Process

Axioms, 2016
In this paper, the one-dimensional α-fractional diffusion equation is revisited. This equation is a particular case of the time- and space-fractional diffusion equation with the quotient of the orders of the time- and space-fractional derivatives equal ...
Yuri Luchko
doaj   +1 more source

Numerical Solution of Nonlinear Backward Stochastic Volterra Integral Equations

Axioms, 2023
This work uses the collocation approximation method to solve a specific type of backward stochastic Volterra integral equations (BSVIEs). Using Newton’s method, BSVIEs can be solved using block pulse functions and the corresponding stochastic operational
Mahvish Samar, Edwin Yao Kutorzi, Xinzhong Zhu   +2 more
doaj   +1 more source

ON THE OPERATORS RELATED TO STOCHASTIC INTEGRAL EQUATIONS [PDF]

Demonstratio Mathematica, 1983
The purpose of this work is to consider the concept of a general stochastic equation and to investigate the problem of existence and uniqueness of its solution. Thus our aim is twofold. Firstly, we intend to study various types of operators which map the class of adapted, right continuous and possessing left limits processes into itself.
openaire   +2 more sources

Advanced Electron Microscopy and Microcomputed Tomography Analysis of Single‐Crystal Ni‐Base Superalloys After Short‐Term Multiaxial Creep

Advanced Engineering Materials, EarlyView.
This work studies the anisotropic behavior of circular notched tensile specimens of Ni‐base superalloy single crystals during high‐temperature tensile creep along [001], [110], and [111]. Correlative scale‐bridging imaging of specimens reveals early rupture along [110] because 1) plastic deformation proceeds faster at notch center; 2) more (brittle ...
Leonardo Agudo Jácome, Lijie Cao, Christoph Somsen, Johannes Boes, René Hesse, Werner Theisen, Gunther Eggeler   +6 more
wiley   +1 more source

A Stochastic Approach for Parameterizing Unresolved Scales in a System with Memory

Journal of Algorithms & Computational Technology, 2009
Complex systems display variability over a broad range of spatial and temporal scales. Some scales are unresolved due to computational limitations. The impact of these unresolved scales on the resolved scales needs to be parameterized or taken into ...
Aijun Du, Jinqiao Duan
doaj   +1 more source

Finite to infinite steady state solutions, bifurcations of an integro-differential equation

, 2011
We consider a bistable integral equation which governs the stationary solutions of a convolution model of solid–solid phase transitions on a circle. We study the bifurcations of the set of the stationary solutions as the diffusion coefficient is varied to ...
Grinfeld, Michael, Duncan, D. B., Lord, G. J., Dugald B. Duncan, Duncan, Dugald B.; id_orcid, Grinfeld, M., Gabriel J. Lord, Lord, Gabriel J., Bhowmik, S. K., null null, Samir K. Bhowmik, Michael Grinfeld, Bhowmik, Samir K.   +12 more
core   +1 more source

All‐in‐One Analog AI Hardware: On‐Chip Training and Inference with Conductive‐Metal‐Oxide/HfOx ReRAM Devices

Advanced Functional Materials, EarlyView.
An all‐in‐one analog AI accelerator is presented, enabling on‐chip training, weight retention, and long‐term inference acceleration. It leverages a BEOL‐integrated CMO/HfOx ReRAM array with low‐voltage operation (<1.5 V), multi‐bit capability over 32 states, low programming noise (10 nS), and near‐ideal weight transfer.
Donato Francesco Falcone, Victoria Clerico, Wooseok Choi, Tommaso Stecconi, Folkert Horst, Laura Bégon‐Lours, Matteo Galetta, Antonio La Porta, Nikhil Garg, Fabien Alibart, Bert Jan Offrein, Valeria Bragaglia   +11 more
wiley   +1 more source

Existence and uniqueness theorem of associated solutions of the stochastic differential system with measures

Журнал Белорусского государственного университета: Математика, информатика, 2018
The Cauchy problem for stochastic differential system with measures is considered in the paper. Finite-difference with averaging system of stochastic differential equations with correspondence to Cauchy problem is investigated.
Artsiom Y. Rusetski
doaj  

Intermediate Resistive State in Wafer‐Scale Vertical MoS2 Memristors Through Lateral Silver Filament Growth for Artificial Synapse Applications

Advanced Functional Materials, EarlyView.
In MOCVD MoS2 memristors, a current compliance‐regulated Ag filament mechanism is revealed. The filament ruptures spontaneously during volatile switching, while subsequent growth proceeds vertically through the MoS2 layers and then laterally along the van der Waals gaps during nonvolatile switching.
Yuan Fa, Milan Buttberg, Ke Ran, Rana Walied Ahmad, Dennis Braun, Lukas Völkel, Jimin Lee, Sofía Cruces, Bart Macco, Bárbara Canto, Holger Lerch, Thorsten Wahlbrink, Holger Kalisch, Michael Heuken, Andrei Vescan, Joachim Mayer, Zhenxing Wang, Ilia Valov, Stephan Menzel, Max C. Lemme   +19 more
wiley   +1 more source

Walsh function-based numerical approach for nonlinear stochastic integral equations: Application to stochastic logistic models

Boundary Value Problems
The current research study proposes an efficient numerical method for obtaining an approximate solution to nonlinear stochastic integral equations implementing the collocation method and the Walsh operational matrices.
Prit Pritam Paikaray, Sanghamitra Beuria, Nigam Chandra Parida, Mohammad Izadi   +3 more
doaj   +1 more source