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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Papers overview

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2014
2014
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
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
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
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
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
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
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
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
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
By an appropriate discretization of control and state variables, a constrained optimal control problem is transformed into a… (More)
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