Download or read book Numerical Methods for Conservation Laws written by Jan S. Hesthaven and published by SIAM. This book was released on 2018-01-30 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conservation laws are the mathematical expression of the principles of conservation and provide effective and accurate predictive models of our physical world. Although intense research activity during the last decades has led to substantial advances in the development of powerful computational methods for conservation laws, their solution remains a challenge and many questions are left open; thus it is an active and fruitful area of research. Numerical Methods for Conservation Laws: From Analysis to Algorithms offers the first comprehensive introduction to modern computational methods and their analysis for hyperbolic conservation laws, building on intense research activities for more than four decades of development; discusses classic results on monotone and finite difference/finite volume schemes, but emphasizes the successful development of high-order accurate methods for hyperbolic conservation laws; addresses modern concepts of TVD and entropy stability, strongly stable Runge-Kutta schemes, and limiter-based methods before discussing essentially nonoscillatory schemes, discontinuous Galerkin methods, and spectral methods; explores algorithmic aspects of these methods, emphasizing one- and two-dimensional problems and the development and analysis of an extensive range of methods; includes MATLAB software with which all main methods and computational results in the book can be reproduced; and demonstrates the performance of many methods on a set of benchmark problems to allow direct comparisons. Code and other supplemental material will be available online at publication.

Download or read book International Conservation Law written by Rob Amos and published by Routledge. This book was released on 2020-04-22 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through a combination of theoretical and empirical approaches, this book explores the role of international environmental law in protecting and conserving plants. Underpinning every ecosystem on the planet, plants provide the most basic requirements: food, shelter and clear air. Yet the world’s plants are in trouble; a fifth of all plant species are at risk of extinction, with thousands more in perpetual decline. In a unique study of international environmental law, this book provides a comprehensive overview of the challenges and restrictions associated with protecting and conserving plants. Through analysing the relationship between conservation law and conservation practice, the book debates whether the two work symbiotically, or if the law poses more of a hindrance than a help. Further discussion of the law’s response to some of the major threats facing plants, notably climate change, international trade and invasive species, grounds the book in conservation literature. Using case studies on key plant biomes to highlight the strengths and weaknesses of the law in practice, the book also includes previously unpublished results of an original empirical study into the correlations between the IUCN Red List and lists of endangered/protected species in international instruments. To conclude, the book looks to the future, considering broader reforms to the law to support the work of conservation practitioners and reshape humanity’s relationships with nature. The book will be of interest to scholars and students working in the field of international environmental law and those interested more broadly in conservation and ecological governance frameworks.

Download or read book Numerical Methods for Conservation Laws written by LEVEQUE and published by Birkhäuser. This book was released on 2013-11-11 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. vVithout the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.

Download or read book Fundamentals of Mechanics written by MOHIT KUMAR. CHANDRA SHARMA (SURESH.) and published by . This book was released on 2020-01-30 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Systems of Conservation Laws 1 written by Denis Serre and published by Cambridge University Press. This book was released on 1999-05-27 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems of conservation laws arise naturally in physics and chemistry. To understand them and their consequences (shock waves, finite velocity wave propagation) properly in mathematical terms requires, however, knowledge of a broad range of topics. This book sets up the foundations of the modern theory of conservation laws, describing the physical models and mathematical methods, leading to the Glimm scheme. Building on this the author then takes the reader to the current state of knowledge in the subject. The maximum principle is considered from the viewpoint of numerical schemes and also in terms of viscous approximation. Small waves are studied using geometrical optics methods. Finally, the initial-boundary problem is considered in depth. Throughout, the presentation is reasonably self-contained, with large numbers of exercises and full discussion of all the ideas. This will make it ideal as a text for graduate courses in the area of partial differential equations.

Download or read book Front Tracking for Hyperbolic Conservation Laws written by Helge Holden and published by Springer. This book was released on 2015-12-10 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions and the detailed solution of the Riemann problem for the Euler equations. Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. From the reviews of the first edition: "It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style." D. Serre, MathSciNet "I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course." S. Noelle, Book review, German Math. Soc. "Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conservation laws." M. Laforest, Comp. Phys. Comm.

Download or read book Kinetic Formulation of Conservation Laws written by B. Perthame and published by Oxford University Press. This book was released on 2002-12-05 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a well-known expert in the field, the focus of this book is on an innovative mathematical and numerical theory which applies to classical models of physics such as shock waves and balance laws. The text is based on early works in common with P.L. Lions (field medalist).

Download or read book Hyperbolic Systems of Conservation Laws written by Philippe G. LeFloch and published by Springer Science & Business Media. This book was released on 2002-07-01 with total page 1010 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators. It covers the existence, uniqueness, and continuous dependence of classical entropy solutions. It also introduces the reader to the developing theory of nonclassical (undercompressive) entropy solutions. The systems of partial differential equations under consideration arise in many areas of continuum physics.

Download or read book International Environmental Law and the Conservation of Coral Reefs written by Edward J. Goodwin and published by Routledge. This book was released on 2011-04-21 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tropical coral reefs are important ecosystems. They are economically important to coastal communities living in predominantly developing countries, and also provide shoreline protection, catalyse land formation enabling human habitation, act as a carbon sink and are a repository for genetic and species diversity rivalling rainforests. In the face of mounting man-made pressure from pollution, climate change and over-exploitation, these ecosystems increasingly need action to be taken to ensure their conservation and long term sustainable development. International Environmental Law and the Conservation of Coral Reefs breaks new ground by providing the first in-depth account of the ways in which multilateral environmental treaty regimes are seeking to encourage and improve the conservation of tropical coral reef ecosystems. In so doing, the work aims to raise the profile of such activities in order to reinforce their status on the environmental agenda. The book also has wider implications for international environmental law, arguing that sectorial legal action, provided it remains co-ordinated through a global forum that recognises and reflects the inter-connections between all elements of the natural environment, is the most effective way for international law to enhance the conservation of certain habitats. This book will be invaluable to environmental lawyers, legal researchers, marine conservationists and other stakeholders in coral reefs.

Download or read book Conservation Laws written by Benjamin Crowell and published by Light and Matter. This book was released on 2001 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables written by A. Majda and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conservation laws arise from the modeling of physical processes through the following three steps: 1) The appropriate physical balance laws are derived for m-phy- t cal quantities, ul""'~ with u = (ul' ... ,u ) and u(x,t) defined m for x = (xl""'~) E RN (N = 1,2, or 3), t > 0 and with the values m u(x,t) lying in an open subset, G, of R , the state space. The state space G arises because physical quantities such as the density or total energy should always be positive; thus the values of u are often con strained to an open set G. 2) The flux functions appearing in these balance laws are idealized through prescribed nonlinear functions, F.(u), mapping G into J j = 1, ..• ,N while source terms are defined by S(u,x,t) with S a given smooth function of these arguments with values in Rm. In parti- lar, the detailed microscopic effects of diffusion and dissipation are ignored. 3) A generalized version of the principle of virtual work is applied (see Antman [1]). The formal result of applying the three steps (1)-(3) is that the m physical quantities u define a weak solution of an m x m system of conservation laws, o I + N(Wt'u + r W ·F.(u) + W·S(u,x,t))dxdt (1.1) R xR j=l Xj J for all W E C~(RN x R+), W(x,t) E Rm.

Download or read book College Physics for AP Courses written by Irna Lyublinskaya and published by . This book was released on 2015-07-31 with total page 1665 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This introductory, algebra-based, two-semester college physics book is grounded with real-world examples, illustrations, and explanations to help students grasp key, fundamental physics concepts. ... This online, fully editable and customizable title includes learning objectives, concept questions, links to labs and simulations, and ample practice opportunities to solve traditional physics application problems."--Website of book.

Download or read book Symmetries and Conservation Laws in Particle Physics written by Stephen Haywood and published by World Scientific. This book was released on 2011 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will explain how group theory underpins some of the key features of particle physics. It will examine symmetries and conservation laws in quantum mechanics and relate these to groups of transformations. Group theory provides the language for describing how particles (and in particular, their quantum numbers) combine. This provides understanding of hadronic physics as well as physics beyond the Standard Model. The symmetries of the Standard Model associated with the Electroweak and Strong (QCD) forces are described by the groups U(1), SU(2) and SU(3). The properties of these groups are examined and the relevance to particle physics is discussed.Stephen Haywood, author of Symmetries And Conservation Laws In Particle Physics, explains how his book can help experimental physicists and PhD students understand group theory and particle physics in our new video View the interview at http: //www.youtube.com/watch'v=jbQk78TBLS

Download or read book Nonlinear Partial Differential Equations for Scientists and Engineers written by Lokenath Debnath and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, help make the book more useful for a diverse readership. The book is an exceptionally complete text/reference for graduates, researchers, and professionals in mathematics, physics, and engineering.

Download or read book Elements of Continuum Mechanics and Conservation Laws written by S.K. Godunov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for well-posedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials.

Download or read book Conservation Biodiversity and International Law written by A. Gillespie and published by Edward Elgar Publishing. This book was released on 2013-07-01 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Humanity has been gambling for generations with the extent to which it can degrade nature and continue to prosper. Now the environmental debt is being called in and the ability of international diplomacy and law, government policy and political will to deal with the issues is being tested. Conservation, Biodiversity and International Law is a must read for any practitioner in the high-stakes business of restoring our ability to live in harmony with the natural world that sustains us.' – Alastair Morrison, Department of Conservation, New Zealand 'Biodiversity is the cornerstone of life – our plants, animals, and ecosystems are essential for livelihoods and have shaped our culture and traditions around the world. However our precious biodiversity is at risk as never before. Global targets to reduce biodiversity loss have not been met and we continue to lose biodiversity at an unprecedented rate. In fact we are currently in the middle of an extinction crisis and scientists have advised that one species from our planet is being lost every 38 minutes! The nature of this crisis and the actions taken to address it are clearly and articulately put forward in this landmark book by Professor Al Gillespie. This book is particularly useful in documenting the many policy and legal actions that have been taken to address these issues, and how the application of these instruments can be improved. Although focused on the law, the book covers a range of disciplines including science, philosophy and policy which lay the foundation for international law. This book makes a major and highly valued contribution to the disciple of environmental law and policy and is an invaluable reference for policy makers, practitioners and academic audiences.' – David Sheppard, CEO of the Secretariat of the Pacific Regional Environment Programme (SPREP) 'This book is written by a prominent and influential scholar who also has the benefit of first hand knowledge of practical working of environmental regimes, having participated in several important negotiations. Gillespie's monograph therefore stands out among other publications on the subject of conservation, combining thoughtful and scholarly approach to issues raised with un-parallel insights into the working of environmental law and the conservation of biodiversity. The book is very original in its presentation of this subject, especially in the selection of topics and the approach which is not only legal but also scientific, philosophical and political. This book is evidence of the great erudition of the author not only in the field of conservation but also in international environmental law and general international law, an example of which can be his analysis of the precautionary principle, trade and a very complex issue of the exception for indigenous peoples and science. Mention also must be made of his detailed approach to various multilateral treaty regimes such as Ramsar Convention and the World Heritage Convention. Gillespie wrote an exceptional book which is a must for international layers, both practitioners and scholars. It is a thought-provoking, very well researched and original monograph, which due to its all- encompassing approach will retain its importance for a very long period of time.' – Malgosia Fitzmaurice, Queen Mary, University of London, UK 'A major work: this book provides a comprehensive picture of the international legal challenges of natural heritage conservation. Truly an indispensable tool for policy-makers, experts and students. The book offers a complete guide to the complex world of treaties that regulate conservation at the global scale.' – Francesco Bandarin, UNESCO Assistant Director-General for Culture This important and timely book provides a rigorous overview of the defining issues presently facing conservation at international level. The author provides detailed coverage of topics ranging from the classification of species right through to access and benefit sharing, drawing on his personal experience at intergovernmental level. Each question is examined through the prism of dozens of treaties and hundreds of decisions and resolutions of the key multilateral regimes, and the law in each area is supplemented by the necessary considerations of science politics and philosophy – providing much-needed context for the reader. Combining expert scholarship and first-hand insight, Conservation, Biodiversity and International Law will be an invaluable resource for researchers and practitioners in international environmental law, as well as providing an accessible guide for students.

Download or read book Numerical Approximation of Hyperbolic Systems of Conservation Laws written by Edwige Godlewski and published by Springer Nature. This book was released on 2021-08-28 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.