Lectures on The Finite Element Method
by Ph. Ciarlet
Publisher: Tata Institute of Fundamental Research 1975
Number of pages: 145
Our basic aim has been to present some of the mathematical aspects of the finite element method, as well as some applications of the finite element method for solving problems in Elasticity. This is why important topics, such as curved boundaries, mixed and hybrid methods, time-dependent problems, etc..., are not covered here.
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by George Benthien
Tutorial describing many of the standard numerical methods used in Linear Algebra. Topics include Gaussian Elimination, LU and QR Factorizations, The Singular Value Decomposition, Eigenvalues and Eigenvectors via the QR Method, etc.
by Douglas W. Harder, Richard Khoury - University of Waterloo
Contents: Error Analysis, Numeric Representation, Iteration, Linear Algebra, Interpolation, Least Squares, Taylor Series, Bracketing, The Five Techniques, Root Finding, Optimization, Differentiation, Integration, Initial-value Problems, etc.
by Jeffrey R. Chasnov - The Hong Kong University
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by Hans Petter Langtangen, Svein Linge - Springer
This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners.