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This volume comprises a carefully selected collection of articles emerging from and pertinent to the 2010 CFL-80 conference in Rio de Janeiro, celebrating the 80th  anniversary of the Courant–Friedrichs–Lewy (CFL) condition. A major result in the field of numerical analysis, the CFL condition has influenced the research of many important mathematicians over the past eight decades, and this work is meant to take stock of its most important and current applications. The Courant–Friedrichs–Lewy (CFL) Condition: 80 Years After its Discovery will be of interest to practicing mathematicians, engineers, physicists, and graduate students who work with numerical methods. Contributors: U. Ascher B. Cockburn E. Deriaz M.O. Domingues S.M. Gomes R. Hersh R. Jeltsch D. Kolomenskiy H. Kumar L.C. Lax P. Lax P. LeFloch A. Marica O. Roussel K. Schneider J. Tiexeira Cal Neto C. Tomei K. van den Doel E. Zuazua    .

Differential equations, Partial. --- Information theory. --- Mathematics. --- Numerical analysis -- Software. --- Numerical analysis --- Information theory --- Differential equations, Partial --- Computer science --- Engineering mathematics --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Applied Mathematics --- Mathematics - General --- Engineering --- Engineering analysis --- Informatics --- Partial differential equations --- Communication theory --- Computers. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Physics. --- Computational Mathematics and Numerical Analysis. --- Partial Differential Equations. --- Theory of Computation. --- Numerical and Computational Physics. --- Appl.Mathematics/Computational Methods of Engineering. --- Applications of Mathematics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematical analysis --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Math --- Science --- Differential equations, partial. --- Numerical and Computational Physics, Simulation. --- Mathematical and Computational Engineering. --- Communication --- Courant, Richard, --- Lewy, Hans, --- Friedrichs, K. O. --- Friedrichs, Kurt Otto, --- Kurant, Rikhard, --- Courant, R.

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This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering. It follows a very reader-friendly structure, with the presentation and the level of exposition especially tailored to those who need functional analysis but don't have a strong background in this branch of mathematics. For every tool, this work emphasizes the motivation, the justification for the choices made, and the right way to employ the techniques. Proofs appear only when necessary for the safe use of the results. The book gently starts with a road map to guide reading. A subsequent chapter recalls definitions and notation for abstract spaces and some function spaces, while Chapter 3 enters dual spaces. Tools from Chapters 2 and 3 find use in Chapter 4, which introduces distributions. The Linear Functional Analysis basic triplet makes up Chapter 5, followed by Chapter 6, which introduces the concept of compactness. Chapter 7 brings a generalization of the concept of derivative for functions defined in normed spaces, while Chapter 8 discusses basic results about Hilbert spaces that are paramount to numerical approximations. The last chapter brings remarks to recent bibliographical items. Elementary examples included throughout the chapters foster understanding and self-study. By making key, complex topics more accessible, this book serves as a valuable resource for researchers, students, and practitioners alike that need to rely on solid functional analysis but don't need to delve deep into the underlying theory.

Algebra --- Functional analysis --- Mathematical analysis --- Mathematics --- algebra --- reeksen (wiskunde) --- functies (wiskunde) --- wiskunde

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Mathematics