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    Applicability of the Boundary Particle Method

    F.Z. Wang 1,2,3

    CMES-Computer Modeling in Engineering & Sciences, Vol.80, No.3&4, pp. 201-218, 2011, DOI:10.3970/cmes.2011.080.201

    Abstract In this paper, we consider the boundary particle method (BPM) which is excellent in solving inhomogeneous partial differential equations in terms of solution accuracy and simplicity. In order to investigate the applicability of the BPM, we examine the relationship between its solution accuracy and the effective condition number. We show that the effective condition number, which estimates system stability with the right-hand side vector taken into account, is inversely proportional to the root mean square error in the numerical approximation. Moreover, for noisy-boundary cases, we find that the BPM can not yield reasonable results, for more noise added to the… More >

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