Results 111 to 120 of about 2,299 (162)

On convergence of collocation technique

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.
Hong Wei, Zhang Wenxun
exaly   +2 more sources

Adaptive Techniques for Spline Collocation

Computing, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christina C. Christara, Kit Sun Ng
openaire   +1 more source

The differenced collocation method : a new technique for proving stability and convergence results for the collocation method [PDF]

open access: possible, 2022
We investigate the differenced collocation method for solving the direct boundary integral method for the mixed boundary value problem for Laplace's equation on a smooth domain. The problem in proving results for the collocation method is that the prin­ cipal part of the system of equations contains a first kind integral equation with a logarithmic ...
openaire   +1 more source

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.   +1 more
openaire   +3 more sources

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
openaire   +1 more source

Numerical techniques for the Heston collocated volatility model

The Journal of Computational Finance, 2020
In the collocating volatility (CLV) model, the stochastic collocation technique is used as a convenient representation of the terminal distribution of the market option prices. A specific dynamic is added in the form of a stochastic driver process, which allows more control over the prices of forward starting options.
F.L. Le Floc’h (Fabien)   +1 more
openaire   +1 more source

Collocation techniques for singular neutral equations

Proceedings of 1994 33rd IEEE Conference on Decision and Control, 2002
A collocation technique in non-polynomial spline space is presented to approximate solutions of singular neutral equations (SNFDEs). Using solution representations and general well-posedness results for SNFDEs the authors show convergence of the method for a large class of initial data including the case of discontinuous initial function. >
G.M. Cerezo   +3 more
openaire   +1 more source

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