An introduction to the finite element method and its relation to applied mathematics. This introductory text examines problems in one dimension to provide a solid background in using the finite element method before tackling the more common partial differential equations in two dimensions (including time-dependent equations). It also includes an excellent discussion of error analysis, nonlinear problems and iterative approximation, Gallerkin's Method, and free boundary problems.
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Text: English, Japanese (translation)
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