论文标题
通过与逆多号插值插值来计算问题：一种解决方案
Computational issues by interpolating with inverse multiquadrics: a solution
论文作者
论文摘要
我们考虑了逆多辐射径向基函数的插值问题。该问题通常会产生大型密集的线性系统，必须通过迭代方法解决。此类方法的效率与系数矩阵与求解器计算的矢量之间的乘法的计算成本严格相关。我们提出了一种有效的技术，用于计算系数矩阵和通用矢量的乘积。该计算主要基于Laplacian操作员绿色功能的球形坐标中众所周知的光谱分解。我们还通过数值模拟显示了所提出方法的效率。
We consider the interpolation problem with the inverse multiquadric radial basis function. The problem usually produces a large dense linear system that has to be solved by iterative methods. The efficiency of such methods is strictly related to the computational cost of the multiplication between the coefficient matrix and the vectors computed by the solver at each iteration. We propose an efficient technique for the calculation of the product of the coefficient matrix and a generic vector. This computation is mainly based on the well-known spectral decomposition in spherical coordinates of the Green's function of the Laplacian operator. We also show the efficiency of the proposed method through numerical simulations.
