Results 11 to 20 of about 786 (181)
Pseudospectral Method for the "Good" Boussinesq Equation [PDF]
Mathematics of Computation, 1991 The paper deals with the pseudospectral time-discrete method for the ''good'' Boussinesq equation. The difficulties in the study of the stability of the aliasing error in the nonlinear term are removed in a way which is roughly equivalent to the use of negative Sobolev norms. Numerical comparisons with finite difference schemes are also given.
de Frutos, J. +2 more
openaire +2 more sources
Composite Laguerre pseudospectral method for Fokker-Planck equations
Mathematical Modelling and Analysis, 2023 A composite generalized Laguerre pseudospectral method for the nonlinear Fokker-Planck equations on the whole line is developed. Some composite generalized Laguerre interpolation approximation results are established.
Chuan Wang, Tianjun Wang, Youlin Shang
doaj +1 more source
Journal of Hebei University of Science and Technology, 2020 In order to solve the problems of large computation amount, long operation time and difficulty in ensuring optima-lity, an improved method combining particle swarm optimization algorithm and Gaussian pseudospectral method was proposed.
Shikai SHAO, Yu PENG, Huimin JIA, Yun DU
doaj +1 more source
A new numerical method to solve pantograph delay differential equations with convergence analysis
Advances in Difference Equations, 2021 The main aim presented in this article is to provide an efficient transferred Legendre pseudospectral method for solving pantograph delay differential equations.
H. Jafari +2 more
doaj +1 more source
Pseudospectral method for gravitational wave collapse [PDF]
Physical Review D, 2016 32 pages, 13 figures, fixed broken ...
Hilditch, David +2 more
openaire +2 more sources
Trajectory optimization for communication between energy-constrained UAV and moving ship
Zhongguo Jianchuan Yanjiu, 2022 Objectives Unmanned aerial vehicles (UAVs) can perform target identification and provide ships with detailed images of the target area. In order to realize the rapid data acquisition and unloading of UAVs as a means of high-altitude communication at sea,
Yiyan ZHANG, Wei MA, Bin LI
doaj +1 more source
Pseudospectral method for quadrilaterals
Journal of Computational and Applied Mathematics, 2011 The authors notice that the fundamental difficulty of pseudospectral methods for polygonal domains consists in the design of proper numerical quadratures. Thus, for convex quadrilaterals they first establish the orthogonal approximation in various Sobolev spaces.
Ben-yu Guo, Hong-Li Jia
openaire +2 more sources
International Journal of Aerospace Engineering, 2022 The trajectory optimization design of interceptor is very important in the defense combat against a class of high-speed and strong-maneuvering aircraft. At present, an important idea is to use hp pseudospectral method to offline optimizes the trajectory ...
Changxin Luo +3 more
doaj +1 more source
A New Method for the Optimal Control Problem of Path Planning for Unmanned Ground Systems
IEEE Access, 2018 To model the optimal control problem of path planning for unmanned ground systems (UGSs), the motion and boundary constraints are described first by using the mathematical model proposed in this paper, and the time-energy performance indicators are ...
Jie Liu, Wei Han, Chun Liu, Haijun Peng
doaj +1 more source
Journal of Function Spaces, 2021 This paper presents the nonlinear systems of Volterra-type fractional integro-differential equation solutions through a Chebyshev pseudospectral method. The proposed method is based on the Caputo fractional derivative.
Pongsakorn Sunthrayuth +6 more
doaj +1 more source