Results 31 to 40 of about 3,082 (261)

Existence, uniqueness and stability of solutions to fractional backward stochastic differential equations

Applied Mathematics in Science and Engineering, 2022
Many types of fractional stochastic differential equation (FrSDE), such as Caputo, fractional Brown motion derivatives, and Mittag-Later functions, exist.
Jiahao Chen, Suoao Ke, Xiaofei Li, Wenbo Liu   +3 more
doaj   +1 more source

Two-Grid Method for a Fully Discrete Mixed Finite Element Solution of the Time-Dependent Schrödinger Equation

Mathematics, 2023
We study the backward Euler fully discrete mixed finite element method for the time-dependent Schrödinger equation; the error result of the mixed finite element solution is obtained in the L2-norm with order O(τ+hk+1).
Zhikun Tian, Yanping Chen, Jianyun Wang
doaj   +1 more source

Fully Discrete Local Discontinuous Galerkin Approximation for Time-Space Fractional Subdiffusion/Superdiffusion Equations

Advances in Mathematical Physics, 2017
We focus on developing the finite difference (i.e., backward Euler difference or second-order central difference)/local discontinuous Galerkin finite element mixed method to construct and analyze a kind of efficient, accurate, flexible, numerical schemes
Meilan Qiu, Liquan Mei, Dewang Li
doaj   +1 more source

Grounded source transient electromagnetic 3D forward modeling with the spectral-element method and its application in hydraulic fracturing monitoring

Frontiers in Earth Science, 2023
A long wire with large current source transient electromagnetic (TEM) monitoring, with a large detection depth, low cost, safety, and environmental protection, has unique advantages in the testing and identification of unconventional reservoir fluid and ...
Xin Huang, Liangjun Yan, Xingyu Wang, Xingbing Xie, Lei Zhou, Xiaoyue Cao   +5 more
doaj   +1 more source

Comparative Study of Discretization Methods for Non-Ideal Proportional-Resonant Controllers in Voltage Regulation of Three-Phase Four-Wire Converters with Vehicle-to-Home Mode

World Electric Vehicle Journal
Vehicle-to-home (V2H) technology enables electric vehicles (EVs) to supply power to residential loads, offering enhanced energy self-sufficiency and backup capabilities. Accurate voltage regulation is essential in such systems, especially under nonlinear
Anh Tan Nguyen
doaj   +1 more source

The Semimartingale Approach to Almost Sure Stability Analysis of a Two-Stage Numerical Method for Stochastic Delay Differential Equation

Abstract and Applied Analysis, 2014
Almost sure exponential stability of the split-step backward Euler (SSBE) method applied to an Itô-type stochastic differential equation with time-varying delay is discussed by the techniques based on Doob-Mayer decomposition and semimartingale ...
Qian Guo, Xueyin Tao
doaj   +1 more source

Almost Sure and Lp Convergence of Split-Step Backward Euler Method for Stochastic Delay Differential Equation

Abstract and Applied Analysis, 2014
The convergence of the split-step backward Euler (SSBE) method applied to stochastic differential equation with variable delay is proven in Lp-sense.
Qian Guo, Xueyin Tao
doaj   +1 more source

Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph Equations

Abstract and Applied Analysis, 2011
We study the almost surely asymptotic stability of exact solutions to neutral stochastic pantograph equations (NSPEs), and sufficient conditions are obtained.
Zhanhua Yu
doaj   +1 more source

Numerical Analysis of Least-Squares Group Finite Element Method for Coupled Burgers' Problem

مجلة بغداد للعلوم, 2021
In this paper, a least squares group finite element method for solving coupled Burgers' problem in   2-D is presented. A fully discrete formulation of least squares finite element method is analyzed, the backward-Euler scheme for the time variable is ...
Najat Jalil Noon
doaj   +1 more source

Fatigue Crack Initiation and Growth in Nanocrystalline Ni at Multiple Length‐Scales

Advanced Engineering Materials, EarlyView.
Overview of miniaturized in situ SEM fatigue setup and resultant fatigue crack growth data for nanocrystalline Ni. The presented study focuses on the analysis of fatigue crack growth rate (FCGR) in focused ion beam‐notched microcantilevers prepared from nanocrystalline (NC) Ni as a model material.
Igor Moravcik, Alexander Jelinek, Markus Alfreider, Jutta Luksch, Anton Hohenwarter, Florian Schaefer, Christian Motz, Daniel Kiener   +7 more
wiley   +1 more source