The linear rational collocation method
Journal of Computational and Applied Mathematics, 2001 AbstractWe introduce the collocation method based on linear rational interpolation for solving general hyperbolic problems, prove its stability and its convergence in weighted norms and give numerical examples for its use.
Jean-Paul Berrut, Richard Baltensperger
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Efficient implementation of Radau collocation methods [PDF]
Applied Numerical Mathematics, 2015 19 pages, 3 figures, 9 ...
BRUGNANO, LUIGI +2 more
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Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind [PDF]
arXiv, 2023 Sinc-collocation methods are known to be efficient for Fredholm integral equations of the second kind, even if functions in the equations have endpoint singularity. However, existing methods have the disadvantage of inconsistent collocation points. This inconsistency complicates the implementation of such methods, particularly for large-scale problems.
arxiv
Mathematical Problems in Engineering, 2018 Partial differential equations (PDEs) are widely used in mechanics, control processes, ecological and economic systems, chemical cycling systems, and epidemiology.
Hongchun Wu, Yulan Wang, Wei Zhang
semanticscholar +1 more source
Computation of saddle type slow manifolds using iterative methods [PDF]
, 2015 This paper presents an alternative approach for the computation of trajectory segments on slow manifolds of saddle type. This approach is based on iterative methods rather than collocation-type methods.
Benoît E. +15 more
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Simple and accurate approach for solving of nonlinear heat convective-radiative equation in fin by using the collocation method and comparison with HPM and VIM [PDF]
Theoretical and Applied Mechanics, 2014 Collocation Method (CM) such as analytical technique, which does not need small parameters is here used to evaluate the analytical approximate solutions of the nonlinear heat transfer equation.
Rahimi Petroudi I. +4 more
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An Introduction to Isogeometric Collocation Methods
, 2015 Within the framework of isogeometric analysis, collocation methods have been recently proposed as an interesting strong form alternative to standard Galerkin approaches, characterized by a significantly reduced computational cost, but still guaranteeing higher order convergence rates.
REALI, ALESSANDRO, T. J. R. Hughes
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Convergence rate for a Gauss collocation method applied to unconstrained optimal control
, 2015 A local convergence rate is established for an orthogonal collocation method based on Gauss quadrature applied to an unconstrained optimal control problem.
Hager, William W. +2 more
core +1 more source
Domain decomposition preconditioners for the spectral collocation method [PDF]
, 1988 Several block iteration preconditioners are proposed and analyzed for the solution of elliptic problems by spectral collocation methods in a region partitioned into several rectangles.
Quarteroni, Alfio +1 more
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Multistep collocation method for nonlinear delay integral equations [PDF]
Sahand Communications in Mathematical Analysis, 2016 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.
Parviz Darania
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