Results 101 to 110 of about 2,651 (216)

An adaptive pseudospectral method for wave packet dynamics

The Journal of Chemical Physics, 2012
We solve the time-dependent Schrödinger equation for molecular dynamics using a pseudospectral method with global, exponentially decaying, Hagedorn basis functions. The approximation properties of the Hagedorn basis depend strongly on the scaling of the spatial coordinates.
Kieri, Emil, Holmgren, Sverker, Karlsson, Hans O.   +2 more
openaire   +4 more sources

A pseudospectral method of solution of Fisher's equation

, 2006
In this paper, we develop an accurate and efficient pseudospectral solution of Fisher's equation, a prototypical reaction–diffusion equation. The solutions of Fisher's equation are characterized by propagating fronts that can be very steep for large ...
Olmos, Daniel, Shizgal, Bernie D.
core   +1 more source

A multidimensional pseudospectral method for optimal control of quantum ensembles,” [PDF]

, 2011
In our previous work, we have shown that the pseudospectral method is an effective and flexible computation scheme for deriving pulses for optimal control of quantum systems. In practice, however, quantum systems often exhibit variation in the parameters
Justin Ruths, Jr-Shin Li
core  

A Jacobi Rational Pseudospectral Method For Lane–Emden Initial Value Problems Arising In Astrophysics On A Semi-Infinite Interval

, 2014
We derive an operational matrix representation for the differentiation of Jacobi rational functions, which is used to create a new Jacobi rational pseudospectral method based on the operational matrix of Jacobi rational functions.
Doha, E. H., Hafez, R. M., Van Gorder, Robert A., Bhrawy, A. H.   +3 more
core   +1 more source

A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional Arguments

Advances in Mathematical Physics, 2014
A pseudospectral method based on the Fibonacci operational matrix is proposed to solve generalized pantograph equations with linear functional arguments.
Ayşe Betül Koç, Musa Çakmak, Aydın Kurnaz   +2 more
doaj   +1 more source

Pseudospectral Methods for Infinite-Horizon Optimal Control Problems [PDF]

, 2008
The article of record as published may be found at http://dx.doi.org/10.2514/1.33117A central computational issue in solving infinite-horizon nonlinear optimal control problems is the treatment of the horizon.
Fahroo, Fahroo, Ross, Michael I.
core  

Optimization of drug scheduling for cancer chemotherapy with considering reducing cumulative drug toxicity. [PDF]

Heliyon, 2023
Liu P, Xiao Q, Zhai S, Qu H, Guo F, Deng J.   +5 more
europepmc   +1 more source

A Highly Accurate Computational Approach to Solving the Diffusion Equation of a Fractional Order

Mathematics
This study aims to present and apply an effective algorithm for solving the TFDE (Time-Fractional Diffusion Equation). The Chebyshev cardinal polynomials and the operational matrix for fractional derivatives based on these bases are relied on as crucial ...
Haifa Bin Jebreen
doaj   +1 more source

Fast Calculation Method for Transient Response of Transmission Line Based on Chebyshev Pseudospectral–Two-Step Three-Order Boundary Value Coupled Method

, 2019
A Chebyshev pseudospectral–two-step three-order boundary value coupled method is proposed and presented for handling the issue associated with complicated calculation, low precision, and poor stability in the process of transient response of ...
Tao Zhang, Zhenhua Li, Tinghe Hu, Yuan Tao, Zhenxing Li   +4 more
core   +1 more source

A pseudospectral Legendre method for hyperbolic equations with an improved stability condition

, 1984
A new pseudospectral method is introduced for solving hyperbolic partial differential equations. This method uses different grid points than previously used pseudospectral methods: in fact the grid are related to the zeroes of the Legendre polynomials ...
Tal-Ezer, H.
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