Results 241 to 250 of about 228,562 (313)

A High-Order Discrete Energy Decay and Maximum-Principle Preserving Scheme for Time Fractional Allen–Cahn Equation

Journal of Scientific Computing, 2023
The shifted fractional trapezoidal rule (SFTR) with a special shift is adopted to construct a finite difference scheme for the time-fractional Allen–Cahn (tFAC) equation.
Guoyu Zhang, Chengming Huang, A. Alikhanov, Baoli Yin   +3 more
semanticscholar   +1 more source

A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle

, 2020
In the construction of cell-centered finite volume schemes for general diffusion equations with discontinuous coefficients on distorted meshes, auxiliary unknowns are usually introduced to resolve discontinuities across cell-edges.
Z. Sheng, G. Yuan, Jing-yan Yue
semanticscholar   +1 more source

A weak maximum principle-based approach for input-to-state stability analysis of nonlinear parabolic PDEs with boundary disturbances

MCSS. Mathematics of Control, Signals and Systems, 2019
In this paper, we introduce a weak maximum principle-based approach to input-to-state stability (ISS) analysis for certain nonlinear partial differential equations (PDEs) with certain boundary disturbances.
Jun Zheng, G. Zhu
semanticscholar   +1 more source

Maximum entropy principle and nonlinear stochastic oscillators

Physica A: Statistical Mechanics and its Applications, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sobczyk, K., Trȩbicki, J.
openaire   +1 more source

Maximum-entropy principle for nonlinear hydrodynamic transport in semiconductors

Continuum Mechanics and Thermodynamics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
TROVATO, Massimo, FALSAPERLA, PAOLO
openaire   +1 more source

A nonlinear version of the Kantorovich–Rubinstein maximum principle

Nonlinear Analysis: Theory, Methods & Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gacki, Henryk, Lasota, Andrzej
openaire   +2 more sources

Maximum Principle Preserving Schemes for Binary Systems with Long-Range Interactions

Journal of Scientific Computing, 2020
We study some maximum principle preserving and energy stable schemes for the Allen–Cahn–Ohta–Kawasaki model with fixed volume constraint. With the inclusion of a nonlinear term f(ϕ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym ...
Xiang Xu, Yanxiang Zhao
semanticscholar   +1 more source

The risk-sensitive maximum principle for controlled forward-backward stochastic differential equations

at - Automatisierungstechnik, 2020
In this paper, we consider the risk-sensitive optimal control problem for forward–backward stochastic differential equations (FBSDEs). We consider two different cases: (Case 1) the drift and diffusion terms of the forward part are independent of the ...
Jun Moon
semanticscholar   +1 more source

Maximum Principle for Nonlinear Parabolic Equations

Journal of Mathematical Sciences, 2018
In this paper, the author gives some maximum principles for solutions of some nonlinear parabolic equations. The author considers first, the parabolic equation \[ \mathcal{L}u-u_{t}=f(x,t,u,Du),\text{ in }\Omega\cup\gamma\Omega\tag{1} \] where {\parindent=6mm \begin{itemize}\item[{\(\bullet\)}] \(\Omega\subset\mathbb{R}^n\times(0,\infty)\) is an ...
openaire   +1 more source

Strong maximum principle for nonlinear cooperative elliptic systems

AIP Conference Proceedings, 2019
In this article is considered the validity of the strong interior and the strong boundary maximum principle for cooperative quasi-linear weakly coupled systems of elliptic PDE’s. The results are obtained via linearization of the system.
Georgi Boyadzhiev, Nikolay Kutev
openaire   +1 more source