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Multi-point momentum interpolation correction on collocated meshes
Journal of Computational Physics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yaoxin Zhang, Yafei Jia
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Collocation at Gaussian Points
SIAM Journal on Numerical Analysis, 1973Approximations 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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On a collocation point of view to reproducing kernel methods
Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stability of Collocation at Gaussian Points
SIAM Journal on Numerical Analysis, 1986For 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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An isogeometric collocation method using superconvergent points
Computer Methods in Applied Mechanics and Engineering, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yongjie Jessica Zhang +2 more
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Applied Numerical Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bulatov, Mikhail, Solovarova, Liubov
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bulatov, Mikhail, Solovarova, Liubov
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Using a pruned basis and a sparse collocation grid with more points than basis functions to do efficient and accurate MCTDH calculations with general potential energy surfaces [PDF]
We propose a new collocation multi-configuration time-dependent Hartree (MCTDH) method. It reduces point-set error by using more points than basis functions.
Robert Wodraszka, Tucker Carrington
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1210 Accuracy Improvement of Collocation Method by Using the Over-Rang Collocation Points
The Proceedings of the Computational Mechanics Conference, 2013Shunpei Kamitani
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On the determination of boundary collocation points for solving some problems for the Laplace operator [PDF]
Boundary collocation is a method for obtaining approximate solutions of boundary problems for linear partial differential equations, for which complete families of particular solutions are explicitly known. The method contains various decisions which are
Lothar Reichel
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Point Collocation and Further Simplifications
1990The 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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