Collocation method

Known as: Collocation point, Collocation polynomial 
In mathematics, a collocation method is a method for the numerical solution of ordinary differential equations, partial differential equations and… (More)
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Related topics

Related topics

20 relations
Analytic element methodBoundary particle methodChebyshev polynomialsGauss pseudospectral method
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Papers overview

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2014
2014
Fractional Spectral Collocation Method
We develop an exponentially accurate fractional spectral collocation method for solving steady-state and time-dependent… (More)
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Highly Cited
2010
Highly Cited
2010
Multi-element probabilistic collocation method in high dimensions
We combine multi-element polynomial chaos with analysis of variance (ANOVA) functional decomposition to enhance the convergence… (More)
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Highly Cited
2008
Highly Cited
2008
A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
This work proposes and analyzes a Smolyak-type sparse grid stochastic collocation method for the approximation of statistical… (More)
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Highly Cited
2008
Highly Cited
2008
An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
This work proposes and analyzes an anisotropic sparse grid stochastic collocation method for solving partial differential… (More)
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Highly Cited
2006
Highly Cited
2006
Direct Trajectory Optimization and Costate Estimation via an Orthogonal Collocation Method
N UMERICALmethods for solving optimal control problems fall into two general categories: indirect methods and direct methods [1… (More)
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Highly Cited
2006
Highly Cited
2006
Meshless Local Petrov-Galerkin ( MLPG ) Mixed Collocation Method For Elasticity Problems
The Meshless Local Petrov-Galerkin (MLPG) mixed collocation method is proposed in this paper, for solving elasticity problems. In… (More)
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Highly Cited
2006
Highly Cited
2006
Efficient Collocational Approach for Parametric Uncertainty Analysis
A numerical algorithm for effective incorporation of parametric uncertainty into mathematical models is presented. The uncertain… (More)
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Highly Cited
2005
Highly Cited
2005
High-Order Collocation Methods for Differential Equations with Random Inputs
Recently there has been a growing interest in designing efficient methods for the solution of ordinary/partial differential… (More)
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Highly Cited
2000
Highly Cited
2000
Second-Generation Wavelet Collocation Method for the Solution of Partial Differential Equations
An adaptive numerical method for solving partial differential equations is developed. The method is based on the whole new class… (More)
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Highly Cited
1993
Highly Cited
1993
Numerical Solution of Optimal Control Problems by Direct Collocation
By an appropriate discretization of control and state variables, a constrained optimal control problem is transformed into a… (More)
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