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Fluid dynamics --- 681.3*G18 --- 519.63 --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- Dynamics --- Fluid mechanics --- Data processing --- Congresses. --- 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 --- Conferences - Meetings --- Data processing&delete& --- Congresses --- Computational fluid dynamics

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Differential equations, Partial --- Numerical analysis. --- Spectral theory (Mathematics). --- Numerical solutions. --- Numerical analysis --- Spectral theory (Mathematics) --- 517.2 --- 519.63 --- 535.33 --- 681.3*G18 --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- 535.33 Spectra in general. Emission spectra --- Spectra in general. Emission spectra --- 517.2 Differential calculus. Differentiation --- Differential calculus. Differentiation --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Mathematical analysis --- Numerical solutions --- 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

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    Comprehensive treatment of edge finite element methods 
    Variational theory of Maxwell's equations 
    Error analysis of finite element methods 
    Background material in functional analysis and Sobolev space theory 
    Introduction to inverse problems 

Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell's equations is now an increasingly important tool in science and engineering. Parallel to the increasing use of numerical methods in computational electromagnetism there has also been considerable progress in the mathematical understanding of the properties of Maxwell's equations relevant to numerical analysis. The aim of this book is to provide an up to date and sound theoretical foundation for finite element methods in computational electromagnetism. The emphasis is on finite element methods for scattering problems that involve the solution of Maxwell's equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell's equations is the main focus of the book. The methods are justified for Lipschitz polyhedral domains that can cause strong singularities in the solution. The book finishes with a short introduction to inverse problems in electromagnetism.


535.13 --- 535.13 Electromagnetic theory (Maxwell) --- Electromagnetic theory (Maxwell) --- finite element method --- computer-aided engineering --- CAE (computer aided engineering) --- Maxwell equations --- Electromagnétisme --- Equations de Maxwell --- 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 --- Maxwell equations. --- Electromagnétisme --- Electromagnetism --- Finite element method --- Electromagnetics --- Magnetic induction --- Magnetism --- Metamaterials --- Equations, Maxwell --- Differential equations, Partial --- Electromagnetic theory --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Mathematical models --- 519.63 --- 681.3*G18 --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- Numerical solutions of differential equations --- Functional analysis --- eindige elementen --- Finite element method. --- Mathematical models. --- Méthode des éléments finis --- Modèles mathématiques --- Electromagnetism - Mathematical models --- Equations aux derivees partielles --- Equations de maxwell --- Methodes numeriques --- Elements finis

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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.

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This volume addresses some of the research areas in the general field of stability studies for differential equations, with emphasis on issues of concern for numerical studies. Topics considered include: (i) the long time integration of Hamiltonian Ordinary DEs and highly oscillatory systems, (ii) connection between stochastic DEs and geometric integration using the Markov chain Monte Carlo method, (iii) computation of dynamic patterns in evolutionary partial DEs, (iv) decomposition of matrices depending on parameters and localization of singularities, and (v) uniform stability analysis for time dependent linear initial value problems of ODEs. The problems considered in this volume are of interest to people working on numerical as well as qualitative aspects of differential equations, and it will serve both as a reference and as an entry point into further research.

Mathematics. --- Matrix theory. --- Differential Equations. --- Differential equations, partial. --- Computer science --- Algorithms. --- Computational Mathematics and Numerical Analysis. --- Applications of Mathematics. --- Ordinary Differential Equations. --- Partial Differential Equations. --- Linear and Multilinear Algebras, Matrix Theory. --- Mathematics --- Physical Sciences & Mathematics --- Mathematics - General --- Differential equations. --- Markov processes. --- Decomposition (Mathematics) --- 681.3*G17 --- 681.3*G18 --- 519.62 --- 519.63 --- Hamiltonian systems. --- Hamiltonian dynamical systems --- Systems, Hamiltonian --- Differentiable dynamical systems --- Probabilities --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Stochastic processes --- Equations, Differential --- Bessel functions --- Calculus --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 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 --- Numerical methods for solution of ordinary differential equations --- Numerical methods for solution of partial differential equations --- 519.63 Numerical methods for solution of partial differential equations --- 519.62 Numerical methods for solution of ordinary differential equations --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 517.91 Differential equations --- Differential equations --- Algorism --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Partial differential equations --- Math --- Algebra. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Asymptotic theory. --- 517.91 --- Numerical solutions --- Algebra --- Arithmetic --- Science --- Foundations --- Mathematical analysis --- Engineering --- Engineering analysis --- Markov processes --- Hamiltonian systems