نتایج جستجو برای: ‎collocation method

تعداد نتایج: 1632274  

Journal: :sahand communications in mathematical analysis 0
parviz darania department of mathematics, faculty of science, urmia university, p.o.box 5756151818, urmia-iran.

‎the main purpose of this paper is to study the numerical solution of nonlinear volterra integral equations with constant delays, based on the multistep collocation method. these methods for approximating the solution in each subinterval are obtained by fixed number of previous steps and fixed number of collocation points in current and next subintervals. also, we analyze the convergence of the...

2002
Darren Pearce

Abstract This paper describes an experiment that attempts to compare a range of existing collocation extraction techniques as well as the implementation of a new technique based on tests for lexical substitutability. After a description of the experiment details, the techniques are discussed with particular emphasis on any adaptations that are required in order to evaluate it in the way propose...

Journal: :J. Sci. Comput. 2008
Zhimin Zhang

We reveal the relationship between a Petrov–Galerkin method and a spectral collocation method at the Chebyshev points of the second kind (±1 and zeros of Uk) for the two-point boundary value problem. Derivative superconvergence points are identified as the Chebyshev points of the first kind (Zeros of Tk). Super-geometric convergent rate is established for a special class of solutions.

Journal: :SIAM J. Numerical Analysis 2015
Zhongqiang Zhang Fanhai Zeng George E. Karniadakis

We present optimal error estimates for spectral Petrov–Galerkin methods and spectral collocation methods for linear fractional ordinary differential equations with initial value on a finite interval. We also develop Laguerre spectral Petrov–Galerkin methods and collocation methods for fractional equations on the half line. Numerical results confirm the error estimates.

Journal: :SIAM J. Scientific Computing 1995
Wai-Sun Don Alex Solomonoff

Journal: :J. Applied Mathematics 2012
Francesco A. Costabile Anna Napoli

1999
Yehia Massoud Junfeng Wang Jacob White

In this paper we present a more accurate method for solving a frequency-dependent inductance of 3-D structures that contains permeable materials. The extracted inductance using the new method is much more accurate than when using the traditional collocation method for no increased cost. Computational results are presented and compared with data to demonstrate the accuracy improvement of the app...

2009
Lihua Wang Hsin-Yun Hu Jiun-Shyan Chen

We introduce a radial basis collocation method to solve axially moving beam problems

2003
Ismael Herrera David E. Keyes Olof B. Widlund Robert Yates I. Herrera

2008
Pavel Pecina Timothy Baldwin Jiří Semecký

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