Spectral Methods for Axisymmetric Domains
| Author | : Christine Bernardi |
| Publisher | : Elsevier Masson |
| Total Pages | : 368 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : |
Parameter Estimation In The Advection Diffusion Reaction Model With Mean Occupancy Time And Boundary Flux Approaches
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Bulletin of the Atomic Scientists
| Author | : |
| Publisher | : |
| Total Pages | : 104 |
| Release | : 1970-12 |
| Genre | : |
| ISBN | : |
The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.
Uncertainty and Forecasting of Water Quality
| Author | : M.B. Beck |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 382 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3642820549 |
Since the International Institute for Applied Systems Analysis began its study of water quality modeling and management in 1977, it has been interested in the relations between uncertainty and the problems of model calibration and prediction. The work has focused on the theme of modeling poorly defined environmental systems, a principal topic of the effort devoted to environmental quality control and management. Accounting for the effects of uncertainty was also of central concern to our two case studies of lake eutrophication management, one dealing with Lake Balaton in Hungary and the other with several Austrian lake systems. Thus, in November 1979 we held a meeting at Laxenburg to discuss recent method ological developments in addressing problems associated with uncertainty and forecasting of water quality. This book is based on the proceedings of that meeting. The last few years have seen an increase in awareness of the issue of uncertainty in water quality and ecological modeling. This book is relevant not only to contemporary issues but also to those of the future. A lack of field data will not always be the dominant problem for water quality modeling and management; more sophisticated measuring techniques and more comprehensive monitoring networks will come to be more widely applied. Rather, the important problems of the future are much more likely to emerge from the enhanced facility of data processing and to concern the meaningful interpretation, assimilation., and use of the information thus obtained.
Spectral and Dynamical Stability of Nonlinear Waves
| Author | : Todd Kapitula |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 369 |
| Release | : 2013-06-06 |
| Genre | : Mathematics |
| ISBN | : 1461469953 |
This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application. The book isolates and methodically develops key ideas by working through illustrative examples that are subsequently synthesized into general principles. Many of the seminal examples of stability theory, including orbital stability of the KdV solitary wave, and asymptotic stability of viscous shocks for scalar conservation laws, are treated in a textbook fashion for the first time. It presents spectral theory from a dynamical systems and functional analytic point of view, including essential and absolute spectra, and develops general nonlinear stability results for dissipative and Hamiltonian systems. The structure of the linear eigenvalue problem for Hamiltonian systems is carefully developed, including the Krein signature and related stability indices. The Evans function for the detection of point spectra is carefully developed through a series of frameworks of increasing complexity. Applications of the Evans function to the Orientation index, edge bifurcations, and large domain limits are developed through illustrative examples. The book is intended for first or second year graduate students in mathematics, or those with equivalent mathematical maturity. It is highly illustrated and there are many exercises scattered throughout the text that highlight and emphasize the key concepts. Upon completion of the book, the reader will be in an excellent position to understand and contribute to current research in nonlinear stability.
Handbook of Dynamical Systems
| Author | : B. Fiedler |
| Publisher | : Gulf Professional Publishing |
| Total Pages | : 1099 |
| Release | : 2002-02-21 |
| Genre | : Science |
| ISBN | : 0080532845 |
This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others.While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.
Lateral Flow Immunoassay
| Author | : Raphael Wong |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 224 |
| Release | : 2008-12-16 |
| Genre | : Science |
| ISBN | : 1597452408 |
Due to the simplicity, relative accuracy, fast result reporting, and user-friendliness of lateral flow immunoassay, its use has undergone tremendous growth in the diagnostic industry in the last few years. Such technology has been utilized widely and includes pregnancy and woman's health determination, cardiac and emergency conditions monitoring and testing, infectious disease including Flu screening, cancer marker screening, and drugs abuse testing. This book covers the scope of utilization, the principle of the technology, the patent concerns, information on the development and production of the test device and specific applications will be of interest to the diagnostic industry and the general scientific community.
Random Walks and Diffusion
| Author | : Open University Course Team |
| Publisher | : |
| Total Pages | : 200 |
| Release | : 2009-10-21 |
| Genre | : Diffusion |
| ISBN | : 9780749251680 |
This block explores the diffusion equation which is most commonly encountered in discussions of the flow of heat and of molecules moving in liquids, but diffusion equations arise from many different areas of applied mathematics. As well as considering the solutions of diffusion equations in detail, we also discuss the microscopic mechanism underlying the diffusion equation, namely that particles of matter or heat move erratically. This involves a discussion of elementary probability and statistics, which are used to develop a description of random walk processes and of the central limit theorem. These concepts are used to show that if particles follow random walk trajectories, their density obeys the diffusion equation.
Flowing Matter
| Author | : Federico Toschi |
| Publisher | : Springer Nature |
| Total Pages | : 313 |
| Release | : 2019-09-25 |
| Genre | : Science |
| ISBN | : 3030233707 |
This open access book, published in the Soft and Biological Matter series, presents an introduction to selected research topics in the broad field of flowing matter, including the dynamics of fluids with a complex internal structure -from nematic fluids to soft glasses- as well as active matter and turbulent phenomena. Flowing matter is a subject at the crossroads between physics, mathematics, chemistry, engineering, biology and earth sciences, and relies on a multidisciplinary approach to describe the emergence of the macroscopic behaviours in a system from the coordinated dynamics of its microscopic constituents. Depending on the microscopic interactions, an assembly of molecules or of mesoscopic particles can flow like a simple Newtonian fluid, deform elastically like a solid or behave in a complex manner. When the internal constituents are active, as for biological entities, one generally observes complex large-scale collective motions. Phenomenology is further complicated by the invariable tendency of fluids to display chaos at the large scales or when stirred strongly enough. This volume presents several research topics that address these phenomena encompassing the traditional micro-, meso-, and macro-scales descriptions, and contributes to our understanding of the fundamentals of flowing matter. This book is the legacy of the COST Action MP1305 “Flowing Matter”.
Lattice-Gas Cellular Automata and Lattice Boltzmann Models
| Author | : Dieter A. Wolf-Gladrow |
| Publisher | : Springer |
| Total Pages | : 320 |
| Release | : 2004-10-19 |
| Genre | : Mathematics |
| ISBN | : 3540465863 |
Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.
Viscous Flows
| Author | : Howard Brenner |
| Publisher | : Butterworth-Heinemann |
| Total Pages | : 625 |
| Release | : 2013-10-22 |
| Genre | : Technology & Engineering |
| ISBN | : 1483289524 |
Representing a unique approach to the study of fluid flows, Viscous Flows demonstrates the utility of theoretical concepts and solutions for interpreting and predicting fluid flow in practical applications. By critically comparing all relevant classes of theoretical solutions with experimental data and/or general numerical solutions, it focuses on the range of validity of theoretical expressions rather than on their intrinsic character. This book features extensive use of dimensional analysis on both models and variables, and extensive development of theoretically based correlating equations. The range of applicability of most theoretical solutions is shown to be quite limited; however, in combination they are demonstrated to be more reliable than purely empirical expressions, particularly in novel applications.
