Results 261 to 270 of about 4,841 (303)

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, E.F. Berdaguer, T.L. Herdmam, J. Turi   +3 more
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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), C.W. Oosterlee (Kees)   +1 more
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A technique for accurate collocation residual calculations

Chemical Engineering Journal, 1998
A multiple-grid collocation method is presented that allows exact evaluation of residuals generated by truncated trial function expansion solutions to boundary-value problems with polynomial nonlinearities. The method is used to formulate a true, discrete analog to the Galerkin projection applicable to the same class of problems.
Raymond A. Adomaitis, Yi-hung Lin
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The Galerkin collocation method: an adaptive collocation technique for the analysis of thin-wire radiators

Journal of Electromagnetic Waves and Applications, 1994
An adaptive collocation method using subdomain sinusoidal basis functions is presented. The method combines the computational efficiency of a conventional collocation method with the rapid convergence properties of a Galerkin method. The method uses a reaction integral equation formulation and is based on quadrature principles.
D.J. Janse van Rensburg, D.A. McNamara
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The differenced collocation method : a new technique for proving stability and convergence results for the collocation method [PDF]

, 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 ...
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Collocation Computational Technique For Fractional Integro-Differential Equations

Nepal Journal of Mathematical Sciences, 2023
 In this study, the collocation method and first-kind Chebyshev polynomials are used to investigate the solution of fractional integral-differential equations. In order to solve the problem, we first convert it to a set of linear algebraic equations, which are then solved by using matrix inversion to get the unknown constants.
Olumuyiwa James Petera, Mfon O. Etukb, Michael Oyelami Ajisopec, Christie Yemisi Isholad, Tawakalt Abosede Ayoola, Hasan S. Panigoro   +5 more
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Solution of summation—difference equations by collocation techniques

Chemical Engineering Science, 1987
Abstract A technique to solve summation—difference equations by orthogonal collocation is presented. It is intended for models whose states are either finite or infinite sequences which can be approximated by global interpolation, as are, for instance, staged processes and polymerization kinetics.
Jesús Alvarez, José Alvarez
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Collocation Techniques for Structured Populations Modeled by Delay Equations

2020
Collocation methods can be applied in different ways to delay models, e.g., to detect stability of equilibria, Hopf bifurcations and compute periodic solutions to name a few. On the one hand, piecewise polynomials can be used to approximate a periodic solution for some fixed values of the model parameters, possibly using an adaptive mesh.
alessia andò, dimitri breda
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Meshless and multi-resolution collocation techniques for parabolic interface models

Applied Mathematics and Computation, 2018
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Siraj-ul-Islam, Nadeem Haider, Imran Aziz   +2 more
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A collocation technique for solving nonlinear Stochastic Itô–Volterra integral equations

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Farshid Mirzaee, Elham Hadadiyan
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