Results 171 to 180 of about 1,574 (222)

Optimal intervention design for tonsillitis transmission via compartmental modeling with stability analysis and control strategies. [PDF]

Sci Rep
Gümüş M, Teklu SW, Sezgin A.
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Pseudospectral methods for Nagumo equation

International Journal for Numerical Methods in Biomedical Engineering, 2011
Summary: We present two pseudospectral methods based on Fourier series and rational Chebyshev functions for solving the Nagumo equation. In each of the two presented methods the problem is reduced to a system of ordinary differential equations that is solved by the leapfrog difference scheme and the fourth-order Runge-Kutta method, respectively.
Mehdi Dehghan, Farhad Fakhar-Izadi
exaly   +2 more sources

New results on pseudospectral methods for optimal control

Automatica, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaojun Tang, Zhenbao Liu
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Costate Estimation by a Legendre Pseudospectral Method

Journal of Guidance, Control, and Dynamics, 1998
We present a Legendre pseudospectral method for directly estimating the costates of the Bolza problem encountered in optimal control theory. The method is based on calculating the state and control variables at the Legendre‐Gauss‐Lobatto (LGL) points. An Nth degree Lagrange polynomial approximation of these variables allows a conversion of the optimal ...
Fahroo, Fariba, Ross, I. Michael
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Scalability of pseudospectral methods for geodynamo simulations

Concurrency and Computation: Practice and Experience, 2010
AbstractThe problem of understanding how Earth's magnetic field is generated is one of the foremost challenges in modern science. It is believed to be generated by a dynamo process, where the complex motions of an electrically conducting fluid provide the inductive action to sustain the field against the effects of dissipation.
Christopher J. Davies 0002, David Gubbins, Peter K. Jimack   +2 more
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A coupled finite‐volume/pseudospectral method

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1999
AbstractSpectral methods (SM) are accurate up to an arbitrary order provided the solution is smooth and the computational domain is simple. On the other hand, when the problem geometry has a complex shape, finite‐volume methods (FVM) have the advantage of being more flexible in fitting the domain boundaries by arbitrarily complex grids. The paper deals
Droll, P., Schäfer, M., Louchart, O., Bontoux, P.   +3 more
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Costate Computation by a Chebyshev Pseudospectral Method

Journal of Guidance, Control, and Dynamics, 2010
AMONG the various pseudospectral (PS) methods for optimal control [1], only the Legendre PS method has been mathematically proven to guarantee the feasibility, consistency, and convergence of the approximations [2–5]. As exemplified by its experimental andflight applications in national programs [6–10], it is not surprising that the Legendre PS method ...
Gong, Qi, Ross, I. Michael, Fahroo, Fariba   +2 more
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A Legendre Pseudospectral Viscosity Method

Journal of Computational Physics, 1996
The author considers the scalar conservation law: \[ \partial_t u+\partial_xf(u)=0, \qquad u(x,0)=u_0(x), \] here \(t>0\), \(x\) lies in an open interval and the flux \(f\) is a regular function. It is known that even for smooth \(u_0\) the solution can develop discontinuities, so the problem possesses in general only weak solutions.
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Pseudospectral method for Fisher equation in a disk

Applied Mathematics and Computation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tianjun Wang, Yujian Jiao, Wenjie Liu 0005   +2 more
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Generalized pseudospectral method: Theory and applications

Journal of Computational Science, 2019
Abstract In this study, we provide a new method, namely the Generalized Pseudospectral Method (GPM), for solving the linear and nonlinear ordinary/partial differential equations. Initially, we introduce a new class of functions, namely the Generalized Lagrange Functions (GLFs), so that they satisfy in the property of the Kronecker delta at the ...
Mehdi Delkhosh, Kourosh Parand
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