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The Architecture of Scientific Software addresses emerging methodologies... Læs mere
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Unlike the many other textbooks on the topic of linear algebra, this book includes mathematical and computational chapters along with examples and exercises with Matlab. The authors use both Matlab and SciLab software as well as covering core standard material.
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Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics.
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This unique text brings together into a single framework current research in the three areas of discrete calculus, complex networks, and algorithmic content extraction. Many example applications from several fields of computational science are provided.
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Algorithmic composition – composing by means of formalizable methods – has a century old tradition not only in occidental music history.... Læs mere
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Slow Viscous Flow
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In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature.
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This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization.
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The methods described include, among others, partition of unity methods (meshfree, XFEM, GFEM), virtual element methods, fictitious domain methods, and special techniques for static and evolving interfaces.
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This book presents a collection of results from the interdisciplinary research project “ELLI” published by researchers at RWTH Aachen University, the TU Dortmund and Ruhr-Universität Bochum between 2011 and 2016.