The Hybrid Maximum Principle is a consequence of Pontryagin Maximum Principle [PDF]
Systems and Control Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. V. Dmitruk, A. M. Kaganovich
exaly +2 more sources
A principle of maximum ignorance for semiclassical gravity [PDF]
Journal of High Energy Physics, 2023 The principle of maximum ignorance posits that the coarse-grained description of a system is maximally agnostic about its underlying microscopic structure.
Jan de Boer +3 more
doaj +2 more sources
The maximum principle with lack of monotonicity
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We establish a maximum principle for the weighted $(p,q)$-Laplacian, which extends the general Pucci–Serrin strong maximum principle to this quasilinear abstract setting.
Patrizia Pucci, Vicenţiu Rădulescu
doaj +2 more sources
Finite element methods respecting the discrete maximum principle for convection-diffusion equations [PDF]
arXiv.org, 2022 Convection-diffusion-reaction equations model the conservation of scalar quantities. From the analytic point of view, solution of these equations satisfy under certain conditions maximum principles, which represent physical bounds of the solution.
G. Barrenechea, V. John, P. Knobloch
semanticscholar +1 more source
Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control [PDF]
PRX Quantum, 2020 Optimal Control Theory is a powerful mathematical tool, which has known a rapid development since the 1950s, mainly for engineering applications. More recently, it has become a widely used method to improve process performance in quantum technologies by ...
U. Boscain, M. Sigalotti, D. Sugny
semanticscholar +1 more source
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
semanticscholar +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
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, A. Caminha, F. Nascimento
semanticscholar +1 more source
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
doaj +1 more source