Results 251 to 260 of about 5,852 (300)

A point collocation method based on reproducing kernel approximations

International Journal for Numerical Methods in Engineering, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N R Aluru
exaly   +3 more sources

Multi-point momentum interpolation correction on collocated meshes

Journal of Computational Physics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yaoxin Zhang, Yafei Jia
openaire   +1 more source

On a collocation point of view to reproducing kernel methods

Computational and Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
openaire   +1 more source

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 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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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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Sinc collocation method with boundary treatment for two-point boundary value problems

Journal of Computational and Applied Mathematics, 2006
Sinc collocation method is proven to provide an exponential convergence rate in solving linear differential equations, even in the presence of singularities.
Xionghua Wu
exaly   +2 more sources

An adaptive local maximum entropy point collocation method for linear elasticity

Computers and Structures, 2021
Point collocation methods are strong form approaches that can be applied to continuum mechanics problems and possess attractive features over weak form-based methods due to the absence of a mesh.
Lei Fan
exaly   +3 more sources