Collocation technique - Open Access .click

Journal of Electronics, 1991
In this paper, the convergence rate at matching points of collocation technique is shown to beO(h 2), that is just the same as the global convergence rate of Galerkin’s method with triangular pulses as basis and weighting functions. A numerical example to verify the conclusion is given.
Wenxun Zhang
exaly +2 more sources

Adaptive Techniques for Spline Collocation

Computing, 2005
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Christina C. Christara, Kit Sun Ng
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Constructive techniques for approximating collocation linear systems

Numerical Algorithms, 2000
A high order discretization by spectral collocation methods of the elliptic problem \[ A_{A,b}u= -\nabla\bigl[ A(x)\nabla u(x)\bigr]+ b(x)u (x) =C(x)\text{ on }\Omega= (-1,1)^2; \quad u|_{\partial \Omega}=0; \] in two variables \(x=(x^{[1]}, x^{[2]})\) is considered.
TABLINO POSSIO C., SERRA CAPIZZANO, STEFANO +1 more
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Adaptive Refinement Techniques for RBF-PU Collocation

2020
We propose new adaptive refinement techniques for solving Poisson problems via a collocation radial basis function partition of unity (RBF-PU) method. As the construction of an adaptive RBF-PU method is still an open problem, we present two algorithms based on different error indicators and refinement strategies that turn out to be particularly suited ...
Roberto Cavoretto, Alessandra De Rossi
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collocation method
mathematics
collocation

radial basis functions
stochastic collocation
civil engineering general

engineering general
physics
collocation methods