Results 11 to 20 of about 6,326,277 (372)
On energy stable, maximum-principle preserving, second order BDF scheme with variable steps for the Allen-Cahn equation [PDF]
SIAM Journal on Numerical Analysis, 2020 In this work, we investigate the two-step backward differentiation formula (BDF2) with nonuniform grids for the Allen-Cahn equation. We show that the nonuniform BDF2 scheme is energy stable under the time-step ratio restriction $r_k:=\tau_k/\tau_{k-1}
Hong-lin Liao, T. Tang, Tao Zhou
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Polyconvex functionals and maximum principle
Mathematics in Engineering, 2023 Let us consider continuous minimizers $ u : \bar \Omega \subset \mathbb{R}^n \to \mathbb{R}^n $ of $ \mathcal{F}(v) = \int_{\Omega} [|Dv|^p \, + \, |{\rm det}\,Dv|^r] dx, $ with $ p > 1 $ and $ r > 0 $; then it is known that every ...
Menita Carozza +3 more
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Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations [PDF]
SIAM Journal on Scientific Computing, 2020 A new class of high-order maximum principle preserving numerical methods is proposed for solving parabolic equations, with application to the semilinear Allen--Cahn equation.
Buyang Li, Jiang Yang, Zhi Zhou
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A maximum principle related to volume growth and applications [PDF]
Annali di Matematica Pura ed Applicata, 2020 In this paper, we derive a new form of maximum principle for smooth functions on a complete noncompact Riemannian manifold M for which there exists a bounded vector field X such that ⟨∇f,X⟩≥0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
L. Alías +2 more
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Maximum principle for discrete-time stochastic optimal control problem and stochastic game
Mathematical Control and Related Fields, 2021 This paper is first concerned with one kind of discrete-time stochastic optimal control problem with convex control domains, for which necessary condition in the form of Pontryagin's maximum principle and sufficient condition of optimality are derived ...
Zhen Wu, Feng Zhang
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The maximum entropy principle for compositional data
BMC Bioinformatics, 2022 Background Compositional systems, represented as parts of some whole, are ubiquitous. They encompass the abundances of proteins in a cell, the distribution of organisms in nature, and the stoichiometry of the most basic chemical reactions.
Corey Weistuch +3 more
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Pontryagin Maximum Principle for Distributed-Order Fractional Systems
Mathematics, 2021 We consider distributed-order non-local fractional optimal control problems with controls taking values on a closed set and prove a strong necessary optimality condition of Pontryagin type.
Faïçal Ndaïrou, Delfim F. M. Torres
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E S A I M: Control, Optimisation and Calculus of Variations, 2020 In this paper we focus on a general optimal control problem involving a dynamical system described by a nonlinear Caputo fractional differential equation of order 0
M. Bergounioux, L. Bourdin
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Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen-Cahn Equation [PDF]
SIAM Journal on Numerical Analysis, 2019 The nonlocal Allen--Cahn equation, a generalization of the classic Allen--Cahn equation by replacing the Laplacian with a parameterized nonlocal diffusion operator, satisfies the maximum principle ...
Q. Du, L. Ju, Xiao Li, Zhonghua Qiao
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Extended Mean Field Control Problems: Stochastic Maximum Principle and Transport Perspective [PDF]
SIAM Journal of Control and Optimization, 2018 We study Mean Field stochastic control problems where the cost function and the state dynamics depend upon the joint distribution of the controlled state and the control process.
Beatrice Acciaio +2 more
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