Results 121 to 130 of about 5,668 (170)
Some of the next articles are maybe not open access.
Least‐squares collocation meshless method
International Journal for Numerical Methods in Engineering, 2001AbstractA finite point method, least‐squares collocation meshless method, is proposed. Except for the collocation points which are used to construct the trial functions, a number of auxiliary points are also adopted. Unlike the direct collocation method, the equilibrium conditions are satisfied not only at the collocation points but also at the ...
Zhang, Xiong +3 more
openaire +1 more source
Semi-implicit multivalue almost collocation methods
AIP Conference Proceedings, 2022We propose a family of multivalue collocation methods for the numerical solution of differential problems, potentially candidate to be stiff. For this reason, the suggested numerical schemes have strong stability properties, such as A-stability. Moreover, in order to obtain an efficient implementation, it is desirable to impose the conditions gaining a
Dajana Conte +3 more
openaire +2 more sources
Collocation methods: More efficient procedures for applying collocation
Advances in Engineering Software, 2007In recent years, new and more effective procedures for applying collocation have been published. This article is devoted to present a revision of this subject and complement its developments. From the general theory two broad approaches are derived, which yield the direct and the indirect TH-collocation methods.
Ismael Herrera +2 more
openaire +1 more source
Fractional Spectral Collocation Method
SIAM Journal on Scientific Computing, 2014We develop an exponentially accurate fractional spectral collocation method for solving steady-state and time-dependent fractional PDEs (FPDEs). We first introduce a new family of interpolants, called fractional Lagrange interpolants, which satisfy the Kronecker delta property at collocation points.
Mohsen Zayernouri, George Em Karniadakis
openaire +1 more source
Generalized Collocation Methods
2008This book has been proposed to offer engineers and scientists various mathematical tools, based on generalized collocation methods, to solve nonlinear problems related to partial differential and integro-differential equations.
BELLOMO, Nicola +3 more
openaire +3 more sources
The variational collocation method
Computer Methods in Applied Mechanics and Engineering, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hector Gomez, Laura De Lorenzis
openaire +2 more sources
LEAST-SQUARES MESHFREE COLLOCATION METHOD
International Journal of Computational Methods, 2012A least-squares meshfree collocation method is presented. The method is based on the first-order differential equations in order to result in a better conditioned linear algebraic equations, and to obtain the primary variables (displacements) and the dual variables (stresses) simultaneously with the same accuracy.
openaire +2 more sources
Galerkin and Collocation Methods
2018One method to numerically solve an equation consists in expanding the solution in terms of a set of known basis functions. These are the so-called “spectral” methods, where the main emphasis is placed on establishing procedures to obtain the expansion coefficients.
George Rawitscher +2 more
openaire +1 more source
Collocation Methods for Integro-Differential Equations
SIAM Journal on Numerical Analysis, 1977In this note we extend the work of de Boor and Swartz (SIAM J. Numer. Anal., 10 (1973), pp. 582-606) on the solution of two-point boundary value problems by collocation. In particular, we are concerned with boundary value problems described by integro-differential equations involving derivatives of order up to and including m with m boundary conditions.
Hangelbroek, Rutger J. +2 more
openaire +2 more sources
Random Collocation Method (RCM)
Volume 7: CFD and VIV; Offshore Geotechnics, 2010Recently, young people do not show much interest on theory, and a lack of communication is occurring between the older and younger generations. This tells us that a much simpler numerical procedure directly related to the governing equations is strongly required and the effort answering the requirement should be continued.
openaire +1 more source