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  • Finite Elements and Fast Iterative Solvers

    with Applications in Incompressible Fluid Dynamics

    Series series Numerical Mathematics and Scientific Computation
    This book is a description of why and how to do Scientific Computing for fundamental models of fluid flow. It contains introduction, motivation, analysis, and algorithms and is closely tied to freely available MATLAB codes that implement the methods described. The focus is on finite element approximation methods and fast iterative solution methods for the consequent linear(ized) systems arising in ... Read more

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    This book guides undergraduate students in the use of Maxima—a computer algebra system—in solving problems in classical mechanics. It functions well as a supplement to a typical classical mechanics textbook.When it comes to problems that are too difficult to solve by hand, computer algebra systems that can perform symbolic mathematical manipulations are a valuable tool. Maxima is particularly ... Read more

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  • Finitely Generated Abelian Groups and Similarity of Matrices over a Field

    Series series Mathematics and Statistics (R0)
    At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common. However, reduction to Smith normal form, named after its originator H.J.S.Smith in 1861, is a matrix version of the Euclidean algorithm and is exactly what the theory requires in both cases. Starting with matrices over the integers, Part 1 of this book provides a measured introduction ... Read more

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  • Numerical Linear Algebra with Applications

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    Numerical Linear Algebra with Applications is designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, using MATLAB as the vehicle for computation. The book contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to ... Read more

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  • Compressed Sensing and its Applications

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    Series series Mathematics and Statistics (R0)
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  • The Pi-Theorem

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