1911/01/01 by Lewis Fry Richardson · 9 citations
Agricultural and Biological Sciences · Earth and Planetary Sciences · Engineering · Mathematics · #Applied mathematics #Arithmetic function #Artificial intelligence #Calculus (dental) #Civil and Structural Engineering Research #Computer science #Continuation #Differential equation #Engineering #Geophysics and Gravity Measurements #Masonry #Mathematical analysis #Mathematics #Object (grammar) #Partial differential equation #Structural engineering #Water management and technologies
paper · doi:10.1098/rsta.1911.0009
crossref issued 1911/01/01 · crossref published 1911/01/01 · crossref published-print 1911/01/01 · openalex publication_date 1911/01/01 · crossref created 2006/12/18 · openalex created_date 2016/06/24 · crossref deposited 2025/12/31 · crossref indexed 2026/07/31 · openalex updated_date 2026/08/04
Abstract 1. Introduction.— 1·0. The object of this paper is to develop methods where by the differential equations of physics may be applied more freely than hitherto in the approximate form of difference equations to problems concerning irregular bodies. Though very different in method, it is in purpose a continuation of a former paper by the author, on a “Freehand Graphic Way of Determining Stream Lines and Equipotentials” (‘Phil. Mag.,’February, 1908; also ‘Proc. Physical Soc.,’ London, vol. xxi.). And all that was there said, as to the need for new methods, may be taken to apply here also. In brief, analytical methods are the foundation of the whole subject, and in practice they are the most accurate when they will work, but in the integration of partial equations, with reference to irregular-shaped boundaries, their field of application is very limited.