Results 31 to 40 of about 50,984 (262)

Polynomial mechanics and optimal control

, 2015
We describe a new algorithm for trajectory optimization of mechanical systems. Our method combines pseudo-spectral methods for function approximation with variational discretization schemes that exactly preserve conserved mechanical quantities such as ...
Srinivasan, Akshay, Venkadesan, Madhusudhan   +1 more
core   +1 more source

Nonparametric Identification under Discrete Variation [PDF]

Econometrica, 2003
This paper provides weak conditions under which there is nonparametric interval identification of local features of a structural function that depends on a discrete endogenous variable and is nonseparable in latent variates. The function delivers values of a discrete or continuous outcome and instruments may be discrete valued.
openaire   +4 more sources

Spectral discretization of time-dependent vorticity–velocity–pressure formulation of the Navier–Stokes equations

Boundary Value Problems, 2020
In this work, we propose a nonstationary Navier–Stokes problem equipped with an unusual boundary condition. The time discretization of such a problem is based on the backward Euler’s scheme.
Mohamed Abdelwahed, Nejmeddine Chorfi
doaj   +1 more source

Mechanical Systems with Symmetry, Variational Principles, and Integration Algorithms [PDF]

, 1997
This paper studies variational principles for mechanical systems with symmetry and their applications to integration algorithms. We recall some general features of how to reduce variational principles in the presence of a symmetry group along with ...
AJ Chorin, AM Bloch, AM Bloch, AM Bloch, AP Veselov, AP Veselov, B Leimkuhler, B Leimkuhler, D Lewis, E Barth, E Barth, F Armero, FP Bretherton, H Anderson, H Lewis, H Yoshida, J Moser, J Ryckaert, J Wendlandt, J Wendlandt, J Wisdom, J Wisdom, JC Baez, JC Simo, JC Simo, JC Simo, JC Simo, JC Simo, JC Simo, JC Simo, JC Simo, JC Simo, JC Simo, JC Simo, JC Simo, JE Marsden, JE Marsden, JE Marsden, JE Marsden, JE Marsden, JM Sanz-Serna, JM Sanz-Serna, JM Sanz-Serna, JM Sanz-Serna, K Feng, K Feng, K Feng, L Jay, L Verlet, M Ortiz, NE Leonard, NE Leonard, O Gonzalez, O Gonzalez, P Channell, R Abraham, R Gillilan, R MacKay, R Montgomery, R Murray, RA Labudde, RA Labudde, RA Labudde, RI McLachlan, RI McLaughlin, RL Seliger, S Maeda, S Reich, S Reich, S Reich, T Itoh, WS Koon, Y Shibberu, Z Ge, Z Ge, Z Ge, Z Ge, Z Ge   +77 more
core   +1 more source

Error estimates of variational discretization for semilinear parabolic optimal control problems

AIMS Mathematics, 2021
In this paper, variational discretization directed against the optimal control problem governed by nonlinear parabolic equations with control constraints is studied.
Chunjuan Hou, Zuliang Lu, Xuejiao Chen, Fei Huang   +3 more
doaj   +1 more source

Discretization of variational regularization in Banach spaces

, 2010
Consider a nonlinear ill-posed operator equation $F(u)=y$ where $F$ is defined on a Banach space $X$. In general, for solving this equation numerically, a finite dimensional approximation of $X$ and an approximation of $F$ are required.
Adams R, Adams R, Ambrosio L, Anderssen R S, Burger M, Chavent G, Christiane Pöschl, Ciarlet P, Duchi J, Elena Resmerita, Engl H, Fabre C, Grasmair M, Hofmann B, Holmes R B, Holohan A M Meinsma G, Leonov A S, Leonov A S, Matthies H, Megginson R E, Neubauer A, Otmar Scherzer, Resmerita E, Resmerita E, Scherzer O, Suquet P-M, Temam R, Tikhonov A N, Zou H   +28 more
core   +1 more source

Numerical approximation of continuous traffic congestion equilibria

Networks and Heterogeneous Media, 2009
Starting from a continuous congested traffic framework recently introduced in [8], we present a consistent numerical scheme to compute equilibrium metrics.
Fethallah Benmansour, Guillaume Carlier, Gabriel Peyré, Filippo Santambrogio   +3 more
doaj   +1 more source

Discrete mechanics and optimal control: An analysis [PDF]

, 2009
The optimal control of a mechanical system is of crucial importance in many application areas. Typical examples are the determination of a time-minimal path in vehicle dynamics, a minimal energy trajectory in space mission design, or optimal motion ...
Junge, Oliver, Marsden, Jerrold E., Ober-Blöbaum, Sina   +2 more
core   +3 more sources

Stability of hybrid time integration scheme for Lord–Shulman thermopiezoelectricity

Results in Applied Mathematics
Based on the existing initial boundary value and variational problems of Lord–Shulman thermopiezoelectricity a transient analysis of the behavior of piezoelectric materials is performed numerically. For space discretization of the variational problem the
Vitalii Stelmashchuk, Heorhiy Shynkarenko   +1 more
doaj   +1 more source

An accurate algorithm for solving biological population model by the variational iteration method using He’s polynomials

Arab Journal of Basic and Applied Sciences, 2018
In the present work, we apply the variational iteration method using He’s polynomials (VIMHP) for solving four examples of the biological population model (BPM).
Mohamed Zellal, Kacem Belghaba
doaj   +1 more source