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The "phase function" method to solve second-order asymptotically polynomial differential equations.

, and . Numerische Mathematik, 121 (3): 565-586 (2012)

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Scalability and Performance Analysis of a Probabilistic Domain Decomposition Method., and . PPAM, volume 4967 of Lecture Notes in Computer Science, page 1257-1264. Springer, (2007)Approximation results for neural network operators activated by sigmoidal functions., and . Neural Networks, (2013)A New Domain Decomposition Approach Suited for Grid Computing., , , and . PARA, volume 4699 of Lecture Notes in Computer Science, page 744-753. Springer, (2006)Multivariate neural network operators with sigmoidal activation functions., and . Neural Networks, (2013)A Fully Scalable Parallel Algorithm for Solving Elliptic Partial Differential Equations., and . Euro-Par, volume 4641 of Lecture Notes in Computer Science, page 727-736. Springer, (2007)Efficient Parallel Solution of Nonlinear Parabolic Partial Differential Equations by a Probabilistic Domain Decomposition., , and . J. Sci. Comput., 43 (2): 135-157 (2010)On the interplay between asymptotic and numerical methods to solve differential equations problems.. SNC, page 135-143. ACM, (2014)Second Harmonics Effects in Random Duffing Oscillators., and . SIAM Journal of Applied Mathematics, 66 (1): 266-285 (2005)Liouville-Green asymptotics for almost-diagonal second-order matrix differential equations., and . Asymptotic Analysis, 48 (4): 267-294 (2006)Convergence of a family of neural network operators of the Kantorovich type., and . Journal of Approximation Theory, (2014)