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An application of least squares to one‐dimensional transient problems
Author(s) -
Lewis Roland W.,
Bruch John C.
Publication year - 1974
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620080316
Subject(s) - residual , mathematics , least squares function approximation , transient (computer programming) , heat equation , thermal conduction , convection–diffusion equation , method of mean weighted residuals , residual sum of squares , non linear least squares , diffusion equation , mathematical optimization , algorithm , mathematical analysis , computer science , finite element method , thermodynamics , engineering , estimation theory , physics , statistics , estimator , galerkin method , operating system , metric (unit) , operations management
The method of ‘least squares’, which falls under the category of weighted residual processes, is applied as a time‐stepping algorithm to one‐dimensional transient problems including the heat conduction equation, diffusion‐convection equation, and a non‐linear unsaturated flow equation. Comparison is made with other time‐stepping algorithms, and the least squares method is seen to offer definite advantages.