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Solving differential equations with radial basis functions: multilevel methods and smoothing.

. Adv. Comput. Math., 11 (2-3): 139-159 (1999)

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Newton iteration for partial differential equations and the approximation of the identity., , and . Numer. Algorithms, 25 (1-4): 181-195 (2000)Stable Evaluation of Gaussian Radial Basis Function Interpolants., and . SIAM J. Sci. Comput., (2012)Multistep approximation algorithms: Improved convergence rates through postconditioning with smoothing kernels., and . Adv. Comput. Math., 10 (1): 1-27 (1999)Optimality and Regularization Properties of Quasi-Interpolation: Deterministic and Stochastic Approaches., , , and . SIAM J. Numer. Anal., 58 (4): 2059-2078 (2020)On Dimension-independent Rates of Convergence for Function Approximation with Gaussian Kernels., , and . SIAM J. Numerical Analysis, 50 (1): 247-271 (2012)A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels., , , and . Comput. Math. Appl., 77 (9): 2354-2368 (2019)Hermite interpolation with radial basis functions on spheres.. Adv. Comput. Math., 10 (1): 81-96 (1999)Refined error estimates for Green kernel-based interpolation., , and . Appl. Math. Lett., (2022)Reproducing kernels of Sobolev spaces via a green kernel approach with differential operators and boundary operators., and . Adv. Comput. Math., 38 (4): 891-921 (2013)Meshfree Approximation Methods with Matlab. Interdisciplinary Mathematical Sciences World Scientific, (2007)