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This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (Italy), in July 2009. Complex systems arise in several physical, chemical, and biological processes, in which length and time scales may span several orders of magnitude. Traditionally, scientists have focused on methods that are particularly applicable in only one regime, and knowledge of the system on one scale has been transferred to another scale only indirectly.  Even with modern computer power, the complexity of such systems precludes their being treated directly with traditional tools, and new mathematical and computational instruments have had to be developed to tackle such problems.  The outstanding and internationally renowned lecturers, coming from different areas of Applied Mathematics, have themselves contributed in an essential way to the development of the theory and techniques that constituted the subjects of the courses.

Multiscale modeling --- Finite element method --- Wavelets (Mathematics) --- Mathematical physics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Sciences - General --- Mathematical Theory --- Operations Research --- Applied Mathematics --- Multi-scale modeling --- Multiscale models --- Mathematics. --- Computer mathematics. --- Numerical analysis. --- Mathematical models. --- Physics. --- Applied mathematics. --- Engineering mathematics. --- Numerical Analysis. --- Computational Science and Engineering. --- Computational Mathematics and Numerical Analysis. --- Mathematical Modeling and Industrial Mathematics. --- Appl.Mathematics/Computational Methods of Engineering. --- Numerical and Computational Physics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Models, Mathematical --- Simulation methods --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Math --- Science --- Mathematical models --- Multivariate analysis --- Computer science. --- Computer science --- Mathematical and Computational Engineering. --- Numerical and Computational Physics, Simulation. --- Informatics --- Mathematical physics. --- Mathematical and Computational Engineering Applications. --- Theoretical, Mathematical and Computational Physics. --- Data processing. --- Physical mathematics --- Physics

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• Reference Manager
• EndNote
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This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (Italy), in July 2009. Complex systems arise in several physical, chemical, and biological processes, in which length and time scales may span several orders of magnitude. Traditionally, scientists have focused on methods that are particularly applicable in only one regime, and knowledge of the system on one scale has been transferred to another scale only indirectly.  Even with modern computer power, the complexity of such systems precludes their being treated directly with traditional tools, and new mathematical and computational instruments have had to be developed to tackle such problems.  The outstanding and internationally renowned lecturers, coming from different areas of Applied Mathematics, have themselves contributed in an essential way to the development of the theory and techniques that constituted the subjects of the courses.

Numerical analysis --- Mathematical physics --- Engineering sciences. Technology --- Planning (firm) --- Computer science --- Computer. Automation --- theoretische fysica --- informatica --- mathematische modellen --- wiskunde --- informaticaonderzoek --- ingenieurswetenschappen --- numerieke analyse

Choose an application

• Reference Manager
• EndNote
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Numerical analysis --- Mathematical physics --- Engineering sciences. Technology --- Planning (firm) --- Computer science --- Computer. Automation --- theoretische fysica --- informatica --- mathematische modellen --- wiskunde --- informaticaonderzoek --- ingenieurswetenschappen --- numerieke analyse