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A dual method to the collocation method

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1988Publisher:WileyJournal:Mathematical Methods in the Applied Sciences, volume 10, pages 439-445 (issn: 0170-4214, eissn: 1099-1476,

Authors: Keijo Ruotsalainen; J. Saranen;

doi: 10.1002/mma.1670100408

A dual method to the collocation method

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Abstract

AbstractIn this article we consider methods which are related to the collocation method by interchanging the test and the trial spaces. Error estimates are derived. As a by‐product we obtain some extensions to the known convergence results for the collocation method.

Related Organizations

University of Oulu
Finland
Oulu University Hospital
Finland

Keywords

Integro-ordinary differential equations, integral equation, collocation method, strongly elliptic pseudodifferential operators, Pseudodifferential operators and other generalizations of partial differential operators, Spectral, collocation and related methods for boundary value problems involving PDEs, delta-spline method, Numerical methods for integral equations, stability, Discrete potential theory, potential problem

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