arXiv Machine Learning June 17, 2026 By Gbenga T. Awojinrin, Abdul-Akeem Olawoyin, Rami M. Younis

A Convex Quasilinearization Method for Solving Nonlinear PDEs with Physics-Informed Neural Networks

Read the original on arXiv Machine Learning →

arXiv:2606. 18175v1 Announce Type: cross Abstract: We present a numerical method for the forward solution of nonlinear partial differential equations (PDEs) in which Bellman-Kalaba quasilinearization reduces the nonlinear problem to a sequence of linear subproblems, each discretized by collocation onto a trial space that is linear in its parameters and solved by a single direct linear least-squares QR factorization.

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