# Collocation method

## Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2014

2014

- SIAM J. Scientific Computing
- 2014

We develop an exponentially accurate fractional spectral collocation method for solving steady-state and time-dependentâ€¦Â (More)

Is this relevant?

Highly Cited

2010

Highly Cited

2010

- J. Comput. Physics
- 2010

We combine multi-element polynomial chaos with analysis of variance (ANOVA) functional decomposition to enhance the convergenceâ€¦Â (More)

Is this relevant?

Highly Cited

2008

Highly Cited

2008

- SIAM J. Numerical Analysis
- 2008

This work proposes and analyzes a Smolyak-type sparse grid stochastic collocation method for the approximation of statisticalâ€¦Â (More)

Is this relevant?

Highly Cited

2008

Highly Cited

2008

- SIAM J. Numerical Analysis
- 2008

This work proposes and analyzes an anisotropic sparse grid stochastic collocation method for solving partial differentialâ€¦Â (More)

Is this relevant?

Highly Cited

2006

Highly Cited

2006

- 2006

N UMERICALmethods for solving optimal control problems fall into two general categories: indirect methods and direct methods [1â€¦Â (More)

Is this relevant?

Highly Cited

2006

Highly Cited

2006

- 2006

The Meshless Local Petrov-Galerkin (MLPG) mixed collocation method is proposed in this paper, for solving elasticity problems. Inâ€¦Â (More)

Is this relevant?

Highly Cited

2006

Highly Cited

2006

- 2006

A numerical algorithm for effective incorporation of parametric uncertainty into mathematical models is presented. The uncertainâ€¦Â (More)

Is this relevant?

Highly Cited

2005

Highly Cited

2005

- SIAM J. Scientific Computing
- 2005

Recently there has been a growing interest in designing efficient methods for the solution of ordinary/partial differentialâ€¦Â (More)

Is this relevant?

Highly Cited

2000

Highly Cited

2000

- 2000

An adaptive numerical method for solving partial differential equations is developed. The method is based on the whole new classâ€¦Â (More)

Is this relevant?

Highly Cited

1993

Highly Cited

1993

- 1993

By an appropriate discretization of control and state variables, a constrained optimal control problem is transformed into aâ€¦Â (More)

Is this relevant?