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Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and techniques for heterogeneous approximations. This book serves as an introduction to this subject, with emphasis on matrix formulations. The topics studied include Schwarz, substructuring, Lagrange multiplier and least squares-control hybrid formulations, multilevel methods, non-self adjoint problems, parabolic equations, saddle point problems (Stokes, porous media and optimal control), non-matching grid discretizations, heterogeneous models, fictitious domain methods, variational inequalities, maximum norm theory, eigenvalue problems, optimization problems and the Helmholtz scattering problem. Selected convergence theory is included.

informatica --- wiskunde --- informaticaonderzoek --- numerieke analyse --- differentiaalvergelijkingen --- algoritmen --- Computer science --- Partial differential equations --- Decomposition method --- Differential equations, Partial --- 519.63 --- 681.3 *G18 --- Method, Decomposition --- Operations research --- Programming (Mathematics) --- System analysis --- Numerical analysis --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- Numerical solutions --- Decomposition method. --- Numerical solutions. --- Global analysis (Mathematics). --- Computer science. --- Engineering. --- Differential equations, partial. --- Analysis. --- Computational Science and Engineering. --- Mathematics of Computing. --- Computational Intelligence. --- Computational Mathematics and Numerical Analysis. --- Partial Differential Equations. --- Computer mathematics --- Electronic data processing --- Mathematics --- Construction --- Industrial arts --- Technology --- Informatics --- Science --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Computer mathematics. --- Computer science—Mathematics. --- Computational intelligence. --- Partial differential equations. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- 517.1 Mathematical analysis --- Mathematical analysis

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All over the world sport plays a prominent role in society: as a leisure activity for many, as an ingredient of culture, as a business and as a matter of national prestige in such major events as the World Cup in soccer or the Olympic Games. Hence, it is not surprising that science has entered the realm of sports, and, in particular, that computer simulation has become highly relevant in recent years. This is explored in this book by choosing five different sports as examples, demonstrating that computational science and engineering (CSE) can make essential contributions to research on sports topics on both the fundamental level and, eventually, by supporting athletes’ performance.

Mathematics. --- Computational Science and Engineering. --- Computer science. --- Mathématiques --- Informatique --- 519 --- 519.63 --- 681.3*G18 --- Math --- Science --- Numerical methods for solution of partial differential equations --- Partitial differential equations: domain decomposition methods; elliptic equations; finite difference methods; finite element methods; finite volume methods; hyperbolic equations; inverse problems; iterative solution techniques; methods of lines; multigrid and multilevel methods; parabolic equations; special methods --- Computer science --- Mathematics --- Biomechanics. --- Fluid dynamics --Data processing. --- Sports sciences. --- Computational fluid dynamics --- Biomechanics --- Sports sciences --- Engineering & Applied Sciences --- Applied Mathematics --- Mathematics - General --- Physical Sciences & Mathematics --- 519.63 Numerical methods for solution of partial differential equations --- Fluid dynamics --- Data processing. --- Sciences, Sports --- Sport sciences --- Biological mechanics --- Mechanical properties of biological structures --- CFD (Computational fluid dynamics) --- Computer simulation --- Data processing --- Computer mathematics. --- Physics. --- Continuum physics. --- Applied mathematics. --- Engineering mathematics. --- Appl.Mathematics/Computational Methods of Engineering. --- Mathematics of Computing. --- Numerical and Computational Physics. --- Classical Continuum Physics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Physical education and training --- Biophysics --- Mechanics --- Contractility (Biology) --- Mathematical and Computational Engineering. --- Numerical and Computational Physics, Simulation. --- Classical and Continuum Physics. --- Informatics --- Computer science—Mathematics. --- Computational fluid dynamics.