Results 61 to 70 of about 1,574 (222)

Basic Implementation of Multiple-Interval Pseudospectral Methods to Solve Optimal Control Problems [PDF]

, 2015
A short discussion of optimal control methods is presented including indirect, direct shooting, and direct transcription methods. Next the basics of multiple-interval pseudospectral methods are given independent of the numerical scheme to highlight the ...
Herber, Daniel Ronald
core  

Evolving relativistic fluid spacetimes using pseudospectral methods and finite differencing [PDF]

, 2007
We present a new code for solving the coupled Einstein-hydrodynamics equations to evolve relativistic, self-gravitating fluids. The Einstein field equations are solved on one grid using pseudospectral methods, while the fluids are evolved on another grid
Kidder, Lawrence E., Teukolsky, Saul A., LAWRENCE E. KIDDER, MATTHEW D. DUEZ, SAUL A. TEUKOLSKY, Duez, Matthew D.   +5 more
core   +1 more source

Motional Induction in Ganymede's Ocean

Geophysical Research Letters, Volume 53, Issue 6, 28 March 2026.
Abstract We investigate the magnetic signature of oceanic circulation in Ganymede's subsurface ocean using kinematic induction modeling. Our approach couples zonal jet flows from rotating thermal convection simulations with magnetic field models incorporating Ganymede's internal dynamo and external contributions from Jupiter.
Simon Cabanes, Thomas Gastine, Alexandre Fournier   +2 more
wiley   +1 more source

Survey of Direct Transcription for Low-Thrust Space Trajectory Optimization with Applications

Abstract and Applied Analysis, 2014
Space trajectory design is usually addressed as an optimal control problem. Although it relies on the classic theory of optimal control, this branch possesses some peculiarities that led to the development of ad hoc techniques, which can be grouped into ...
F. Topputo, C. Zhang
doaj   +1 more source

Uncertainty Quantification in Planning Aircraft Ground Movement Operations With Towbarless Robotic Tractors

International Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 2542-2556, 25 March 2026.
ABSTRACT This article addresses the problem of quantifying the uncertainty in planning aircraft ground movement operations using towbarless robotic tractors taking into account the inherent uncertainties of the problem, specifically, the uncertainties in the weight of the aircraft and in the rolling resistance of the wheels of the main landing gear ...
Almudena Buelta, Alberto Olivares, Ernesto Staffetti   +2 more
wiley   +1 more source

Pseudospectral Methods for Optimal Motion Planning of Differentially Flat Systems [PDF]

, 2004
The article of record as published may be located at http://ieeexplore.ieee.orgIEEE Transactions on Automatic Control, vol. 49, no. 8, August 2004 (Journal Article)This note presents some preliminary results on combining two new ideas from nonlinear ...
Ross, I. Michael, Fahroo, Fariba
core  

A note on stability of pseudospectral methods for wave propagation

, 2002
In this paper we deal with the effects on stability of subtle differences in formulations of pseudospectral methods for solution of the acoustic wave equation.
Renaut, R.A., Jackiewicz, Z.
core   +1 more source

Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley   +1 more source

A quantum graph FFT with applications to partial differential equations on networks

Results in Applied Mathematics
The Fast Fourier Transform is extended to functions on finite graphs whose edges are identified with intervals of finite length. Spectral and pseudospectral methods are developed to solve a wide variety of time dependent partial differential equations on
Robert Carlson
doaj   +1 more source

Spectral Algorithm for Pseudospectral Methods in Optimal Control [PDF]

, 2008
The article of record as published may be found at http://dx.doi.org/10.2514/1.32908Recent convergence results with pseudospectral methods are exploited to design a robust, multigrid, spectral algorithm for computing optimal controls.
Gong, Qi, Fahroo, Fahroo, Ross, Michael I.   +2 more
core