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In applied mathematics, the boundary particle method (BPM) is a boundary-only meshless (meshfree) collocation technique, in the sense that none of inner nodes are required in the numerical solution of nonhomogeneous partial differential equations. Numerical experiments show that the BPM has . Its interpolation matrix can be symmetric.

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  • Boundary particle method (en)
  • 边界粒子法 (zh)
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  • In applied mathematics, the boundary particle method (BPM) is a boundary-only meshless (meshfree) collocation technique, in the sense that none of inner nodes are required in the numerical solution of nonhomogeneous partial differential equations. Numerical experiments show that the BPM has . Its interpolation matrix can be symmetric. (en)
  • 在应用数学领域,边界粒子法不需要内部布点,仅需边界离散计算非齐次偏微分方程,因此是一种真正意义上的边界型无网格方法。数值算例表明,边界粒子法具有谱收敛,无需积分和网格生成,数学简单,编程容易,矩阵对称等优点。而且,边界粒子法仅需边界布点,因此在计算仅部分边界数据可测的数学物理反问题上,比其他数值方法有着固有的优势。 (zh)
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  • November 2018 (en)
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  • In applied mathematics, the boundary particle method (BPM) is a boundary-only meshless (meshfree) collocation technique, in the sense that none of inner nodes are required in the numerical solution of nonhomogeneous partial differential equations. Numerical experiments show that the BPM has . Its interpolation matrix can be symmetric. (en)
  • 在应用数学领域,边界粒子法不需要内部布点,仅需边界离散计算非齐次偏微分方程,因此是一种真正意义上的边界型无网格方法。数值算例表明,边界粒子法具有谱收敛,无需积分和网格生成,数学简单,编程容易,矩阵对称等优点。而且,边界粒子法仅需边界布点,因此在计算仅部分边界数据可测的数学物理反问题上,比其他数值方法有着固有的优势。 (zh)
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