Results 261 to 270 of about 5,960 (305)

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
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On a collocation point of view to reproducing kernel methods

Computational and Applied Mathematics, 2021
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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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Collocation-variation difference schemes with several collocation points for differential-algebraic equations

Applied Numerical Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bulatov, Mikhail, Solovarova, Liubov
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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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Collocation at Gauss Points as a Discretization in Optimal Control

SIAM Journal on Control and Optimization, 1979
Collocation at Gauss points is shown to be a high order accurate discretization of certain unconstrained optimal control problems. Best possible convergence rates are established along with superconvergence results.
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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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The Richardson Extrapolation Process with a Harmonic Sequence of Collocation Points

SIAM Journal on Numerical Analysis, 2000
The author studies the problem: Let a function \(A(y)\) be known and hence computable for \(00\), the variable \(y\) being continuous or discrete. The author assumes that \(A(y)\) has an asymptotic expansion of the form \[ A(y)\sim A+ \sum_{k=1}^\infty \alpha_k y^{\sigma_k} \quad\text{as}\quad y\to 0+, \] where \(\sigma_k\) are known scalars satisfying
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On a misconception involving point collocation and the Rayleigh hypothesis

IEEE Transactions on Antennas and Propagation, 1996
Summary: It is shown that the Rayleigh hypothesis does not govern convergence of the simple point collocation approach to the numerical solution of scattering by a sinusoidal grating. A recently developed numerical technique, interval arithmetic, is employed to perform some decisive numerical experiments which not only support but guarantee the ...
Christiansen, Søren, Kleinman, Ralph E.
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