On the Convergence of an Approximation Method of M. J. Lighthill (Classic Reprint)

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Excerpt from On the Convergence of an Approximation Method of M. J. LighthillIn [1] m.j. Lighthill proposed a new perturbation tech nique for the approximate solution of certain types of non linear differential equations near their singular points. This method has since found numerous useful applications in hydrodynamical problems, an excelkant account of which can be found in a report by h.s. Tsien The procedures are justified, in the existing literature, by very convino ing plausibility considerations but mathematically complete proofs seem to be lacking.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.