Results 31 to 40 of about 59,441 (292)
GPS-derived geoid using artificial neural network and least squares collocation [PDF]
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
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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
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A Survey on Isogeometric Collocation Methods with Applications
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
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Convergence rate for a Gauss collocation method applied to unconstrained optimal control
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
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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
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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
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On $hp$-Convergence of PSWFs and A New Well-Conditioned Prolate-Collocation Scheme
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
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Spectral Methods for Numerical Relativity. The Initial Data Problem [PDF]
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.
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Quadratic‐spline collocation methods for two‐point boundary value problems
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
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The point collocation method with a local maximum entropy approach [PDF]
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.
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