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Meshless Collocation: Error estimates with application to dynamical systems

journal contribution
posted on 2023-06-08, 07:24 authored by Peter GieslPeter Giesl, Holger Wendland
In this paper, we derive error estimates for generalized interpolation, in particular collocation, in Sobolev spaces. We employ our estimates in collocation problems using radial basis functions and extend and improve previously known results for elliptic problems. Finally, we use meshless collocation to approximate Lyapunov functions for dynamical systems.

History

Publication status

  • Published

Journal

SIAM Journal on Numerical Analysis

ISSN

1095-7170

Issue

4

Volume

45

Page range

1723-1741

Pages

19.0

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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