Singular Phenomena and Scaling in Mathematical Models

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Release : 2013-11-18
Genre : Computers
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Book Rating : 866/5 ( reviews)

Singular Phenomena and Scaling in Mathematical Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singular Phenomena and Scaling in Mathematical Models write by Michael Griebel. This book was released on 2013-11-18. Singular Phenomena and Scaling in Mathematical Models available in PDF, EPUB and Kindle. The book integrates theoretical analysis, numerical simulation and modeling approaches for the treatment of singular phenomena. The projects covered focus on actual applied problems, and develop qualitatively new and mathematically challenging methods for various problems from the natural sciences. Ranging from stochastic and geometric analysis over nonlinear analysis and modelling to numerical analysis and scientific computation, the book is divided into the three sections: A) Scaling limits of diffusion processes and singular spaces, B) Multiple scales in mathematical models of materials science and biology and C) Numerics for multiscale models and singular phenomena. Each section addresses the key aspects of multiple scales and model hierarchies, singularities and degeneracies, and scaling laws and self-similarity.

Singularities: Formation, Structure and Propagation

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Release : 2015-09-10
Genre : Mathematics
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Book Rating : 416/5 ( reviews)

Singularities: Formation, Structure and Propagation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singularities: Formation, Structure and Propagation write by J. Eggers. This book was released on 2015-09-10. Singularities: Formation, Structure and Propagation available in PDF, EPUB and Kindle. This book explores a wide range of singular phenomena, providing mathematical tools for understanding them and highlighting their common features.

Extended Abstracts Spring 2018

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Release : 2019-09-03
Genre : Mathematics
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Book Rating : 612/5 ( reviews)

Extended Abstracts Spring 2018 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Extended Abstracts Spring 2018 write by Andrei Korobeinikov. This book was released on 2019-09-03. Extended Abstracts Spring 2018 available in PDF, EPUB and Kindle. This volume contains extended abstracts outlining selected presentations delivered by participants of the joint international multidisciplinary workshop MURPHYS-HSFS-2018 (MUltiRate Processes and HYSteresis; Hysteresis and Slow-Fast Systems), dedicated to the mathematical theory and applications of the multiple scale systems, the systems with hysteresis and general trends in the dynamical systems theory. The workshop was jointly organized by the Centre de Recerca Matemàtica (CRM), Barcelona, and the Collaborative Research Center 910, Berlin, and held at the Centre de Recerca Matemàtica in Bellaterra, Barcelona, from May 28th to June 1st, 2018. This was the ninth workshop continuing a series of biennial meetings started in Ireland in 2002, and the second workshop of this series held at the CRM. Earlier editions of the workshops in this series were held in Cork, Pechs, Suceava, Lutherstadt and Berlin. The collection includes brief research articles reporting new results, descriptions of preliminary work, open problems, and the outcome of work in groups initiated during the workshop. Topics include analysis of hysteresis phenomena, multiple scale systems, self-organizing nonlinear systems, singular perturbations and critical phenomena, as well as applications of the hysteresis and the theory of singularly perturbed systems to fluid dynamics, chemical kinetics, cancer modeling, population modeling, mathematical economics, and control. The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active research areas.

Mathematical Modelling of Waves in Multi-Scale Structured Media

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Release : 2017-11-09
Genre : Mathematics
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Book Rating : 420/5 ( reviews)

Mathematical Modelling of Waves in Multi-Scale Structured Media - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Modelling of Waves in Multi-Scale Structured Media write by Alexander B. Movchan. This book was released on 2017-11-09. Mathematical Modelling of Waves in Multi-Scale Structured Media available in PDF, EPUB and Kindle. Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic, phononic, and platonic crystals.

Lie Group Analysis of Differential Equations

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Release : 2024-03-04
Genre : Mathematics
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Book Rating : 801/5 ( reviews)

Lie Group Analysis of Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lie Group Analysis of Differential Equations write by Ranis Ibragimov. This book was released on 2024-03-04. Lie Group Analysis of Differential Equations available in PDF, EPUB and Kindle. The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheric and ocean waves. This volume represents a unique blend of analytical and numerical methods complemented by the author's developments in ocean and atmospheric sciences and it is meant for researchers and graduate students interested in applied mathematics and mathematical modeling.