Results 241 to 250 of about 59,441 (292)

Superconvergent isogeometric collocation method with Greville points

Computer Methods in Applied Mechanics and Engineering, 2021
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Wang, Dongdong, Qi, Dongliang, Li, Xiwei
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Collocation-variation difference schemes with several collocation points for differential-algebraic equations

Applied Numerical Mathematics, 2020
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Bulatov, Mikhail, Solovarova, Liubov
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Collocation at Gaussian Points

SIAM Journal on Numerical Analysis, 1973
Approximations to an isolated solution of an mth order nonlinear ordinary differential equation with m linear side conditions are determined. These approximations are piecewise polynomial functions of order $m + k$ (degree less than $m + k$) possessing $m - 1$ continuous derivatives.
de Boor, Carl, Swartz, Blair
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Stability of Collocation at Gaussian Points

SIAM Journal on Numerical Analysis, 1986
For two-point boundary value problems, where no direction of integration is distinguished, symmetric Runge-Kutta methods are of particular interest. The authors present a numerical example which shows that collocation at Gauss points gives better results than collocation at Lobatto points (although both methods are symmetric, A-stable and have the same
Ascher, U., Bader, G.
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Multi-point momentum interpolation correction on collocated meshes

Journal of Computational Physics, 2022
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Zhang, Yaoxin, Jia, Yafei
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Collocation points distributions for optimal spacecraft trajectories

Communications in Nonlinear Science and Numerical Simulation, 2013
Abstract The method of direct collocation with nonlinear programming (DCNLP) is a powerful tool to solve optimal control problems (OCP). In this method the solution time history is approximated with piecewise polynomials, which are constructed using interpolation points deriving from the Jacobi polynomials.
Federico Fumenti, CIRCI, Christian, Daniele Romagnoli   +2 more
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An isogeometric collocation method using superconvergent points

Computer Methods in Applied Mechanics and Engineering, 2015
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Anitescu, Cosmin, Jia, Yue (Dr.), Zhang, Yongjie, Rabczuk, Timon   +3 more
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A meshless point collocation treatment of transient bioheat problems

International Journal for Numerical Methods in Biomedical Engineering, 2014
SUMMARYA meshless numerical method is proposed for the solution of the transient bioheat equation in two and three dimensions. The Pennes bioheat equation is extended in order to incorporate water evaporation, tissue damage, and temperature‐dependent tissue properties during tumor ablation.
G C, Bourantas, V C, Loukopoulos, V N, Burganos, G C, Nikiforidis   +3 more
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Point Collocation and Further Simplifications

1990
The present chapter is devoted to simplifications of the Galerkin method. With little effort the complexity can be reduced one order of magnitude by introducing “engineering” approximations. It turns out that with well chosen stratagems the accuracy remains essentially equal to what can be obtained with the Galerkin method.
Patrick Dewilde, Zhen-Qui Ning
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Orthogonal collocation — application to diffusion from point sources

Atmospheric Environment (1967), 1978
Abstract Turbulent atmospheric diffusion from single or multiple point sources is simulated using the K- theory and solved by orthogonal collocation. The physical and chemical behavior of pollutant species in the atmosphere is described by the three-dimensional, unsteady-state diffusion equation including chemical reactions.
Miguel T. Fleischer, Frank L. Worley
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