Results 31 to 40 of about 766 (163)
Direct trajectory optimization by a Chebyshev pseudospectral method [PDF]
Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000 We present a Chebyshev pseudospectral method for directly solving a generic Bolza optimal control problem with state and control constraints. This method employs Nth-degree Lagrange polynomial approximations for the stateand control variables with the values of these variables at the Chebyshev-Gauss-Lobatto (CGL) points as the expansion coefficients ...
Ross, I. Michael, Fahroo, Fahroo
openaire +3 more sources
Pseudospectral Methods for Nonlinear Pendulum Equations [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2019 Summary: The article searched on mathematics and numerical solutions for the nonlinear pendulum (Chaotic pendulum). The numerical solution that was used for our research suitably the pseudospectral methods. With these equations, we studied and calculated on the interval \([-1, 1]\), with boundary conditions already known.
openaire +2 more sources
Nonlinear Engineering, 2019 The nonlocal nature of the fractional derivative makes the numerical treatment of fractional differential equations expensive in terms of computational accuracy in large domains.
Mashali-Firouzi Mahmoud, Maleki Mohammad
doaj +1 more source
Pseudospectral method for semilinear partial functional differential equations [PDF]
Opuscula Mathematica, 2010 We present a convergence result for two spectral methods applied to an initial boundary value problem with functional dependence of Volterra type. Explicit condition of Courant-Friedrichs-Levy type is assumed on time step \(\tau \) and the number \(N ...
Wojciech Czernous
doaj +1 more source
Mathematics, 2023 This research focuses on the analysis of the competitive model used in the banking sector based on the stochastic fractional differential equation. For the approximate solution, a pseudospectral technique is utilized for the proposed model based on the ...
Ishtiaq Ali, Sami Ullah Khan
doaj +1 more source
Multistage Spectral Relaxation Method for Solving the Hyperchaotic Complex Systems
The Scientific World Journal, 2014 We present a pseudospectral method application for solving the hyperchaotic complex systems. The proposed method, called the multistage spectral relaxation method (MSRM) is based on a technique of extending Gauss-Seidel type relaxation ideas to systems ...
Hassan Saberi Nik, Paulo Rebelo
doaj +1 more source
A Neural Operator Emulator for Coastal and Riverine Shallow Water Dynamics
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.Abstract Coastal regions and river floodplains are particularly vulnerable to the impacts of extreme weather events. Accurate real‐time forecasting of hydrodynamic processes in these areas is essential for infrastructure planning and climate adaptation.
Peter Rivera‐Casillas +9 more
wiley +1 more source
Vegetated Canopy Heterogeneity Footprints in the Roughness Sublayer
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 10, 28 May 2026.Abstract Turbulent flows over horizontally homogeneous rough surfaces are categorized as rough‐wall boundary layer flows, while flows over homogeneous vegetated canopies are better described through a mixing‐layer analogy. At present, numerous studies have investigated canopy density as a transition mechanism between rough‐wall and mixing‐layer‐type ...
Giulia Salmaso, Raúl B. Cal, Marc Calaf
wiley +1 more source
Inverse Sturm–Liouville problems with pseudospectral methods
International Journal of Computer Mathematics, 2014 In this paper a technique to obtain a first approximation for singular inverse Sturm–Liouville problems with a symmetrical potential is introduced. The singularity, as a result of unbounded domain −∞, ∞, is treated by considering numerically the asymptotic limit of the associated problem on a finite interval −L, L.
H. Altundag +2 more
openaire +4 more sources
Pseudospectral methods versus FDTD [PDF]
IEEE Antennas and Propagation Society International Symposium. Transmitting Waves of Progress to the Next Millennium. 2000 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.00CH37118), 2002 In this paper pseudospectral methods are applied to the solution of electromagnetic problems. Specifically, the Chebyshev collocation method is used along with a mapping of the grid to relax the restrictions on the time-step. Entire-domain as well as multi-domain approaches are considered.
S.V. Georgakopoulos +2 more
openaire +1 more source