Results 21 to 30 of about 12,633,357 (288)
A High-Efficiency Spectral Method for Two-Dimensional Ocean Acoustic Propagation Calculations
Entropy, 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
A Survey on Isogeometric Collocation Methods with Applications
Mathematics, 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
Convergence of a collocation scheme for a retarded potential integral equation [PDF]
, 2003 Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
core +2 more sources
Sakarya 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
Journal 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
Spectral collocation methods [PDF]
Applied Numerical Mathematics, 1989 This is a survey article on the application of spectral collocation methods to the solution of partial differential equations. For the most part, the basis functions used are either trigonometric or Chebyshev polynomials, although there is some discussion of Legendre polynomials.
Hussaini, M. Y. +2 more
openaire +2 more sources
A pk-Adaptive Mesh Refinement for Pseudospectral Method to Solve Optimal Control Problem
IEEE 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
Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
, 2013 We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
core +3 more sources
Axioms, 2021 Nonlinear fractional differential equations are widely used to model real-life phenomena. For this reason, there is a need for efficient numerical methods to solve such problems.
Enza Pellegrino, Francesca Pitolli
doaj +1 more source
Highly stable multivalue collocation methods [PDF]
, 2020 The paper is focused on the development of A-stable collocation based multivalue methods for stiff problems. This methods are dense output extensions of discrete multivalue methods, since the solution is approximated by a piecewise collocation polynomial
Paternoster Beatrice +7 more
core +1 more source