Results 31 to 40 of about 27,855,056 (325)

A High-Efficiency Spectral Method for Two-Dimensional Ocean Acoustic Propagation Calculations

open access: yesEntropy, 2021
The accuracy and efficiency of sound field calculations highly concern issues of hydroacoustics. Recently, one-dimensional spectral methods have shown high-precision characteristics when solving the sound field but can solve only simplified models of ...
Xian Ma   +5 more
doaj   +1 more source

Approximate Solutions of Nonlinear Boundary Value Problems by Collocation Methods Compared to Newer Methods

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
A large variety of new methods are being developed for fast and efficient solutions of nonlinear boundary value problems. Some of these methods are, Adomian decomposition (ADM), differential transform (DTM), least squares vector machines (LSSVMM), and ...
Hasan Ömür Özer   +3 more
doaj   +1 more source

Approximate Solution of a Class of Highly Oscillatory Integral Equations Using an Exponential Fitting Collocation Method

open access: yesJournal of Mathematics, 2023
This paper deals with the numerical solution of a class of highly oscillatory Volterra integral equations by collocation methods based on the exponential fitting technique.
S. Khudhair Abbas   +2 more
doaj   +1 more source

Representing arbitrary acoustic source and sensor distributions in Fourier collocation methods.

open access: yesJournal of the Acoustical Society of America, 2019
Accurately representing acoustic source distributions is an important part of ultrasound simulation. This is challenging for grid-based collocation methods when such distributions do not coincide with the grid points, for instance when the source is a ...
Elliott S. Wise   +3 more
semanticscholar   +1 more source

Collocation Methods for Second Order Systems

open access: yesRobotics: Science and Systems XVIII, 2022
Trabajo presentado en el Robotics: Science and Systems, celebrado en Nueva York (Estados Unidos), del 27 de junio al 1 de julio de ...
Moreno Martín, Siro   +2 more
openaire   +2 more sources

A Survey on Isogeometric Collocation Methods with Applications

open access: yesMathematics, 2023
Isogeometric analysis (IGA) is an effective numerical method for connecting computer-aided design and engineering, which has been widely applied in various aspects of computational mechanics. IGA involves Galerkin and collocation formulations. Exploiting
Jingwen Ren, Hongwei Lin
doaj   +1 more source

Petrov-Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations [PDF]

open access: yesSIAM Journal on Scientific Computing, 2016
Distributed order fractional operators offer a rigorous tool for mathematical modelling of multi-physics phenomena, where the differential orders are distributed over a range of values rather than being just a fixed integer/fraction as it is in standard ...
E. Kharazmi   +2 more
semanticscholar   +1 more source

Computation of saddle type slow manifolds using iterative methods [PDF]

open access: yes, 2015
This paper presents an alternative approach for the computation of trajectory segments on slow manifolds of saddle type. This approach is based on iterative methods rather than collocation-type methods.
Benoît E.   +15 more
core   +3 more sources

$H^2$--Convergence of least-squares kernel collocation methods [PDF]

open access: yes, 2018
The strong-form asymmetric kernel-based collocation method, commonly referred to as the Kansa method, is easy to implement and hence is widely used for solving engineering problems and partial differential equations despite the lack of theoretical ...
K. Cheung, Leevan Ling, R. Schaback
semanticscholar   +1 more source

A pk-Adaptive Mesh Refinement for Pseudospectral Method to Solve Optimal Control Problem

open access: yesIEEE Access, 2019
In this paper, a pk-adaptive mesh refinement of pseudospectral method is proposed for solving optimal control problem by using collocation at Legendre-Gauss-Lobatto (LGL) points, motivated by reducing the redundant collocation points in the state-of-art ...
Jun Huang   +4 more
doaj   +1 more source

Home - About - Disclaimer - Privacy