Results 61 to 70 of about 22,980 (304)

Almost sure exponential stability of numerical solutions for stochastic delay differential equations

, 2010
Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (
Szpruch, Lukasz, Wu, Fuke, Mao, Xuerong
core   +1 more source

A survey on numerical methods for the simulation of initial value problems with sDAEs

, 2022
S.221-300This paper provides an overview on numerical aspects in the simulation of differential-algebraic equations (DAEs). Amongst others we discuss the basic construction principles of frequently used discretization schemes, such as BDF methods, Runge ...
Burger, M., Gerdts, M.
core   +1 more source

Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement

Advanced Science, EarlyView.
The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang, Xinyuan Ke, Andrew Heath, Richard J. Ball, Jiawei Xie, Jinchen Fan, Guisheng Li, Kevin Paine   +7 more
wiley   +1 more source

Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations

, 2011
By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke, Peter E. Kloeden, Kloeden, Peter E., Mao, Xuerong, Fuke Wu, Xuerong Mao   +5 more
core   +1 more source

Numerical Solutions for Multi-Term Fractional Order Differential Equations with Fractional Taylor Operational Matrix of Fractional Integration

, 2020
In this article, we propose a numerical method based on the fractional Taylor vector for solving multi-term fractional differential equations. The main idea of this method is to reduce the given problems to a set of algebraic equations by utilizing the ...
İbrahim Avcı, Nazim I. Mahmudov
core   +1 more source

Traction Force Microscopy for Viscoelastic Substrates: A Semi‐Analytical Method

Advanced Science, EarlyView.
A semi‐analytical viscoelastic traction force microscopy framework is introduced for quantifying time‐resolved cell tractions on flat finite‐thickness substrates. The method generalizes elastic traction force microscopy to Generalized Maxwell materials, identifies when elastic approximations remain valid and, when they do not, shows that inferred ...
Adrià Villacrosa‐Ribas, Daniëlle C. A. Duffhues, Pim van den Bersselaar, Sarah Pragnere, Bart G. W. Groenen, Mariana Azevedo Gonzalez Oliva, Giuseppe Ciccone, Manuel Salmeron‐Sanchez, Carlijn V. C. Bouten, Jose J. Muñoz, Vito Conte   +10 more
wiley   +1 more source

On Fundamental Solution for Autonomous Linear Retarded Functional Differential Equations

, 2020
This document focuses attention on the fundamental solution of an autonomous linear retarded functional differential equation (RFDE) along with its supporting cast of actors: kernel matrix, characteristic matrix, resolvent matrix; and the Laplace ...
Clement McCalla
core   +1 more source

On the Use of Composite Functions in the Simple Equations Method to Obtain Exact Solutions of Nonlinear Differential Equations

Computation, 2021
We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of a class of nonlinear differential equations containing polynomial nonlinearities.
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov   +2 more
doaj   +1 more source

Essential Components of an Algebraic Differential Equation

Journal of Symbolic Computation, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Ultra‐Wide‐Field Noninvasive Imaging Through Scattering Media Via Physics‐Guided Deep Learning

Advanced Science, EarlyView.
We propose a physics‐guided adaptive dual‐domain learning method for ultra‐wide‐field noninvasive imaging through scattering media, namely UNI‐Net. Our method not only reduces the requirement for real experimental data by an order of magnitude but also enables clear imaging of complex scenes with an ultra‐large field of view, which is 164 times the OME
Lintao Peng, Mingwei He, Jeff Zhu, Sujit K. Sahoo, Liheng Bian, Cuong Dang   +5 more
wiley   +1 more source