Results 31 to 40 of about 59,441 (292)

GPS-derived geoid using artificial neural network and least squares collocation [PDF]

open access: yes, 2006
The geoidal undulations are needed for determining the orthometric heights from the Global Positioning System GPS-derived ellipsoidal heights. There ore several methods for geoidal undulation determination.
Ambrožič, Tomaž   +3 more
core   +1 more source

Inverse Multiquadratic Functions as the Basis for the Rectangular Collocation Method to Solve the Vibrational Schrödinger Equation

open access: yesMathematics, 2018
We explore the use of inverse multiquadratic (IMQ) functions as basis functions when solving the vibrational Schrödinger equation with the rectangular collocation method. The quality of the vibrational spectrum of formaldehyde (in six dimensions) is
Aditya Kamath, Sergei Manzhos
doaj   +1 more source

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

Convergence rate for a Gauss collocation method applied to unconstrained optimal control

open access: yes, 2015
A local convergence rate is established for an orthogonal collocation method based on Gauss quadrature applied to an unconstrained optimal control problem.
Hager, William W.   +2 more
core   +1 more source

An Alternative Approach of Initial Stability Analysis of Kirchhoff Plates by the Boundary Element Method

open access: yesEngineering Transactions, 2014
An initial stability of Kirchhoff plates is analysed in the paper. Proposed approach avoids Kirchhoff forces at the plate corner and equivalent shear forces at a plate boundary. Two unknown variables are considered at the boundary element node.
Michał GUMINIAK
doaj   +1 more source

Efficient Solution of Burgers’, Modified Burgers’ and KdV–Burgers’ Equations Using B-Spline Approximation Functions

open access: yesMathematics, 2023
This paper discusses the application of the orthogonal collocation on finite elements (OCFE) method using quadratic and cubic B-spline basis functions on partial differential equations.
Nabendra Parumasur   +2 more
doaj   +1 more source

On $hp$-Convergence of PSWFs and A New Well-Conditioned Prolate-Collocation Scheme

open access: yes, 2013
The first purpose of this paper is to provide a rigorous proof for the nonconvergence of $h$-refinement in $hp$-approximation by the PSWFs, a surprising convergence property that was first observed by Boyd et al [J. Sci. Comput., 2013].
Wang, Li-Lian   +2 more
core   +1 more source

Spectral Methods for Numerical Relativity. The Initial Data Problem [PDF]

open access: yes, 1999
Numerical relativity has traditionally been pursued via finite differencing. Here we explore pseudospectral collocation (PSC) as an alternative to finite differencing, focusing particularly on the solution of the Hamiltonian constraint (an elliptic ...
Finn, Lee Samuel, Kidder, Lawrence E.
core   +2 more sources

Quadratic‐spline collocation methods for two‐point boundary value problems

open access: yesInternational Journal for Numerical Methods in Engineering, 1988
AbstractA new collocation method based on quadratic splines is presented for second order two‐point boundary value problems. First, O(h4) approximations to the first and second derivative of a function are derived using a quadratic‐spline interpolant of u.
Houstis, Elias N.   +2 more
openaire   +3 more sources

The point collocation method with a local maximum entropy approach [PDF]

open access: yesComputers & Structures, 2018
Abstract Meshless methods have long been a topic of interest in computational modelling in solid mechanics and are broadly divided into weak and strong form-based approaches. The need for numerical integration in the former remains a challenge often met by using a background mesh or complex stabilised nodal approaches.
Fan, L., Coombs, W.M., Augarde, C.E.
openaire   +3 more sources

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