Results 101 to 110 of about 49,792,933 (254)

Nonsmooth Modal Analysis of Piecewise-Linear Impact Oscillators

SIAM Journal on Applied Dynamical Systems, 2017
Periodic solutions of autonomous and conservative second-order dynamical systems of finite dimension $n$ undergoing one unilateral contact condition are investigated in continuous time.
Anders Thorin, Pierre Delezoide, M. Legrand   +2 more
semanticscholar   +1 more source

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor, Nils Margenberg, Markus Bause   +2 more
wiley   +1 more source

Nonsmooth analysis and optimization on partially ordered vector spaces

International Journal of Mathematics and Mathematical Sciences, 1992
Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
doaj   +1 more source

On Switching Times Optimization and Second‐Order Sufficient Conditions for Optimal Bang‐Bang Boundary Control of the Heat Equation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT We consider optimal control of the heat equation where the control variable appears linearly as a boundary control. We establish switching times optimization for bang–bang controls with multiple switching times. Particularly, representations of variational derivatives of the state and the cost w.r.t. switching times are given.
Georg Vossen
wiley   +1 more source

An Adaptive Multiple Shooting Strategy for Optimal Control

Optimal Control Applications and Methods, Volume 47, Issue 6, Page 1453-1471, November/December 2026.
We study how multiple shooting affects the convergence of Newton‐type methods for optimal control, comparing several shooting strategies across 40 benchmark problems. The study covers interior‐point and sequential quadratic programming methods with both Quasi‐Newton approximations and exact Hessians.
Robert Lampel, Sebastian Sager
wiley   +1 more source

Mission‐Aligned Learning‐Informed Control of Autonomous Systems: Formulation and Foundations

Expert Systems, Volume 43, Issue 11, November 2026.
ABSTRACT Research, innovation and practical capital investment have been increasing rapidly toward the realization of autonomous physical agents. This includes industrial and service robots, unmanned aerial vehicles, embedded control devices, and a number of other realizations of cybernetic/mechatronic implementations of intelligent autonomous devices.
Vyacheslav Kungurtsev, Alessandro Di Frenna, Gustav Šír, Monicah Cherop Naibei, Haozhe Tian, Homayoun Hamedmoghadam, Akhil Anand, Sebastien Gros   +7 more
wiley   +1 more source

Nonsmooth modal analysis: from the discrete to the continuous settings

, 2018
This chapter addresses the prediction of vibratory resonances in nonsmooth structural systems via Nonsmooth Modal Analysis. Nonsmoothness in the trajectories is induced by unilateral contact conditions in the governing (in)equations.
Anders Thorin, M. Legrand
semanticscholar   +1 more source

Analysis of λ-Hölder Stability of Economic Equilibria and Dynamical Systems with Nonsmooth Structures

Mathematics
This paper develops a mathematical approach to the analysis of the stability of economic equilibria in nonsmooth models. The λ-Hölder apparatus of subdifferentials is used, which extends the class of systems under study beyond traditional smooth ...
Anna V. Aleshina, Andrey L. Bulgakov, Yanliang Xin, Igor Y. Panarin   +3 more
doaj   +1 more source

Minimization of nonsmooth integral functionals

International Journal of Mathematics and Mathematical Sciences, 1992
In this paper we examine optimization problems involving multidimensional nonsmooth integral functionals defined on Sobolev spaces. We obtain necessary and sufficient conditions for optimality in convex, finite dimensional problems using techniques from ...
Nikolaos S. Papageorgiou, Apostolos S. Papageorgiou   +1 more
doaj   +1 more source

Variational–hemivariational system for contaminant convection–reaction–diffusion model of recovered fracturing fluid

Advances in Nonlinear Analysis
This work is devoted to study the convection–reaction–diffusion behavior of contaminant in the recovered fracturing fluid which flows in the wellbore from shale gas reservoir. First, we apply various constitutive laws for generalized non-Newtonian fluids,
Cen Jinxia, Migórski Stanisław, Yao Jen-Chih, Zeng Shengda   +3 more
doaj   +1 more source