Numerical Methods with Applications
by Autar K Kaw, Egwu Eric Kalu
Publisher: Lulu.com 2008
Number of pages: 728
This book is written for engineering undergraduates taking a course in numerical methods. The textbook offers a treatise to numerical methods which is based on a holistic approach and short chapters. It includes examples of real-life applications, supplemental material on differential and integral calculus, website with extra examples, PowerPoint presentations, worksheets in MATLAB, MATHEMATICA, Maple and MathCAD, etc.
Home page url
Download or read it online for free here:
(multiple PDF/DOC files)
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 R. Glowinski - Tata Institute of Fundamental Research
Many physics problems have variational formulations making them appropriate for numerical treatment. This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations.
by Daniele Venturi - arXiv
The purpose of this manuscript is to provide a new perspective on the problem of numerical approximation of nonlinear functionals and functional differential equations. The proposed methods will be described and demonstrated in various examples.
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.