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Operator Splitting Methods For Systems Of Convection Diffusion Equations Nonlinear Error Mechanisms And Correction Strategies
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Book Synopsis Splitting Methods for Partial Differential Equations with Rough Solutions by : Helge Holden
Download or read book Splitting Methods for Partial Differential Equations with Rough Solutions written by Helge Holden and published by European Mathematical Society. This book was released on 2010 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operator splitting (or the fractional steps method) is a very common tool to analyze nonlinear partial differential equations both numerically and analytically. By applying operator splitting to a complicated model one can often split it into simpler problems that can be analyzed separately. In this book one studies operator splitting for a family of nonlinear evolution equations, including hyperbolic conservation laws and degenerate convection-diffusion equations. Common for these equations is the prevalence of rough, or non-smooth, solutions, e.g., shocks. Rigorous analysis is presented, showing that both semi-discrete and fully discrete splitting methods converge. For conservation laws, sharp error estimates are provided and for convection-diffusion equations one discusses a priori and a posteriori correction of entropy errors introduced by the splitting. Numerical methods include finite difference and finite volume methods as well as front tracking. The theory is illustrated by numerous examples. There is a dedicated Web page that provides MATLABR codes for many of the examples. The book is suitable for graduate students and researchers in pure and applied mathematics, physics, and engineering.
Book Synopsis Iterative Splitting Methods for Differential Equations by : Juergen Geiser
Download or read book Iterative Splitting Methods for Differential Equations written by Juergen Geiser and published by CRC Press. This book was released on 2011-06-01 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iterative Splitting Methods for Differential Equations explains how to solve evolution equations via novel iterative-based splitting methods that efficiently use computational and memory resources. It focuses on systems of parabolic and hyperbolic equations, including convection-diffusion-reaction equations, heat equations, and wave equations.In th
Book Synopsis Multicomponent and Multiscale Systems by : Juergen Geiser
Download or read book Multicomponent and Multiscale Systems written by Juergen Geiser and published by Springer. This book was released on 2015-08-21 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the latest research results from combined multi-component and multi-scale explorations. It provides theory, considers underlying numerical methods and presents brilliant computational experimentation. Engineering computations featured in this monograph further offer particular interest to many researchers, engineers and computational scientists working in frontier modeling and applications of multicomponent and multiscale problems. Professor Geiser gives specific attention to the aspects of decomposing and splitting delicate structures and controlling decomposition and the rationale behind many important applications of multi-component and multi-scale analysis. Multicomponent and Multiscale Systems: Theory, Methods and Applications in Engineering also considers the question of why iterative methods can be powerful and more appropriate for well-balanced multiscale and multicomponent coupled nonlinear problems. The book is ideal for engineers and scientists working in theoretical and applied areas.
Book Synopsis Advanced Numerical Methods for Complex Environmental Models: Needs and Availability by : István Faragó
Download or read book Advanced Numerical Methods for Complex Environmental Models: Needs and Availability written by István Faragó and published by Bentham Science Publishers. This book was released on 2013-12-10 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: High air pollution levels pose a significant threat to plants, animals and human beings. Efforts by researchers are directed towards keeping air pollution levels below well defined ‘critical‘ levels in order to maintain a sustainable atmosphere and environmental system. The application of advanced mathematical models is important for researchers to achieve this goal as efficiently as possible. Mathematical models can be used to predict answers to many important questions about the environment. This application comes with several complex theoretical and practical obstacles which need to be resolved. A successfully applicable mathematical model needs to enable researchers to • Mathematically describe all important physical and chemical processes. • Apply fast and sufficiently accurate numerical methods. • Ensure that the model runs efficiently on modern high speed computers. • Use high quality input data, both meteorological data and emission inventories, in the runs. • Verify the model results by comparing them with reliable measurements taken in different parts of the spatial domain of the model. • Carry out long series of sensitivity experiments to check the response of the model to changes of different key parameters. • Visualize and animate the output results in order to make them easily understandable even to non-specialists. This monograph thoroughly describes mathematical methods useful for various situations in environmental modeling - including finite difference methods, splitting methods, parallel computation, etc. - and provides a framework for resolving problems posed in relation to the points listed above. Chapters are written by well-known specialists making this book a handy reference for researchers, university teachers and students working and studying in the areas of air pollution, meteorology, applied mathematics and computer science.
Download or read book Coupled Systems written by Juergen Geiser and published by CRC Press. This book was released on 2014-02-14 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory, Models, and Applications in Engineering explains how to solve complicated coupled models in engineering using analytical and numerical methods. It presents splitting multiscale methods to solve multiscale and multi-physics problems and describes analytical and numerical methods in time and space for evolution equations arising in engineering problems. The book discusses the effectiveness, simplicity, stability, and consistency of the methods in solving problems that occur in real-life engineering tasks. It shows how MATLAB (R) and Simulink (R) are used to implement the methods. The author also covers the coupling of separate, multiple, and logical scales in applications, including microscale, macroscale, multiscale, and multi-physics problems. Covering mathematical, algorithmic, and practical aspects, this book brings together innovative ideas in coupled systems and extends standard engineering tools to coupled models in materials and flow problems with respect to their scale dependencies and their influence on each time and spatial scale
Book Synopsis Proceedings of Sixth International Congress on Information and Communication Technology by : Xin-She Yang
Download or read book Proceedings of Sixth International Congress on Information and Communication Technology written by Xin-She Yang and published by Springer Nature. This book was released on 2021-09-23 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers selected high-quality research papers presented at the Sixth International Congress on Information and Communication Technology, held at Brunel University, London, on February 25–26, 2021. It discusses emerging topics pertaining to information and communication technology (ICT) for managerial applications, e-governance, e-agriculture, e-education and computing technologies, the Internet of things (IoT) and e-mining. Written by respected experts and researchers working on ICT, the book offers a valuable asset for young researchers involved in advanced studies. The book is presented in four volumes.
Book Synopsis Advances in Chromatography, Volume 51 by : Eli Grushka
Download or read book Advances in Chromatography, Volume 51 written by Eli Grushka and published by CRC Press. This book was released on 2016-04-19 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than four decades, scientists and researchers have relied on the Advances in Chromatography series for the most up-to-date information on a wide range of developments in chromatographic methods and applications. For Volume 51, the series editors have invited established, well-known chemists from across the globe to offer cutting-edge revie
Book Synopsis High Performance Computing for Computational Science - VECPAR 2006 by : Michel Daydé
Download or read book High Performance Computing for Computational Science - VECPAR 2006 written by Michel Daydé and published by Springer Science & Business Media. This book was released on 2007-04-02 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 7th International Conference on High Performance Computing for Computational Science, VECPAR 2006, held in Rio de Janeiro, Brazil, in June 2006. The 44 revised full papers presented together with one invited paper and 12 revised workshop papers cover Grid computing, cluster computing, numerical methods, large-scale simulations in Physics, and computing in Biosciences.
Book Synopsis Filtration in Porous Media and Industrial Application by : M.S. Espedal
Download or read book Filtration in Porous Media and Industrial Application written by M.S. Espedal and published by Springer. This book was released on 2007-05-06 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the presentation of some flow problems in porous media having relevant industrial applications. The main topics covered are: the manufacturing of composite materials, the espresso coffee brewing process, the filtration of liquids through diapers, various questions about flow problems in oil reservoirs and the theory of homogenization. The aim is to show that filtration problems arising in very practical industrial context exhibit interesting and highly nontrivial mathematical aspects. Thus the style of the book is mathematically rigorous, but specifically oriented towards applications, so that it is intended for both applied mathematicians and researchers in various areas of technological interest. The reader is required to have a good knowledge of the classical theory of PDE and basic functional analysis.
Book Synopsis Wave Propagation in Materials for Modern Applications by : Andrey Petrin
Download or read book Wave Propagation in Materials for Modern Applications written by Andrey Petrin and published by BoD – Books on Demand. This book was released on 2010-01-01 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recent decades, there has been a growing interest in micro- and nanotechnology. The advances in nanotechnology give rise to new applications and new types of materials with unique electromagnetic and mechanical properties. This book is devoted to the modern methods in electrodynamics and acoustics, which have been developed to describe wave propagation in these modern materials and nanodevices. The book consists of original works of leading scientists in the field of wave propagation who produced new theoretical and experimental methods in the research field and obtained new and important results. The first part of the book consists of chapters with general mathematical methods and approaches to the problem of wave propagation. A special attention is attracted to the advanced numerical methods fruitfully applied in the field of wave propagation. The second part of the book is devoted to the problems of wave propagation in newly developed metamaterials, micro- and nanostructures and porous media. In this part the interested reader will find important and fundamental results on electromagnetic wave propagation in media with negative refraction index and electromagnetic imaging in devices based on the materials. The third part of the book is devoted to the problems of wave propagation in elastic and piezoelectric media. In the fourth part, the works on the problems of wave propagation in plasma are collected. The fifth, sixth and seventh parts are devoted to the problems of wave propagation in media with chemical reactions, in nonlinear and disperse media, respectively. And finally, in the eighth part of the book some experimental methods in wave propagations are considered. It is necessary to emphasize that this book is not a textbook. It is important that the results combined in it are taken “from the desks of researchers“. Therefore, I am sure that in this book the interested and actively working readers (scientists, engineers and students) will find many interesting results and new ideas.
Book Synopsis Report by : Universitetet i Bergen. Department of Applied Mathematics
Download or read book Report written by Universitetet i Bergen. Department of Applied Mathematics and published by . This book was released on 2000 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hydrobiological Modelling by : Brian J. Williams
Download or read book Hydrobiological Modelling written by Brian J. Williams and published by Lulu.com. This book was released on 2006 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes models of aquatic ecosystems, ranging from lakes to estuaries to the deep ocean. It provides a background in the physical and biological processes, numerical methods and elementary ecosystem models. It describes two of the most widely used hydrodynamic models and presents a number of case studies. The practice of modelling in management is discussed.
Book Synopsis SIAM Journal on Scientific Computing by :
Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 2008 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mechanics written by and published by . This book was released on 2002 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2002 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 2000 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations by : Willem Hundsdorfer
Download or read book Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations written by Willem Hundsdorfer and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique book on Reaction-Advection-Diffusion problems
