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Michael F Shlesinger: Why Not Nonlinear
Algebra: Math, Science, Applications And

Why Not Nonlinear Algebra: Math, Science, Applications And Funding

Radon Series on Computational and Applied Mathematics

Hilbert Space Methods for the Theory of Electromagnetism

Maxwell’s Equations

Dynamics and Astrophysics of Galaxies

Advances in Quantum Chemistry

Recent developments of molecular electronic structure theory: Volume 91

Advances in Biogerontology

Redox Signaling in Wound Healing in Elderly Populations: Clinical Approach, Part 2: Volume 3

Computation and Analysis of Turbulent Flows

Numerical Modeling of Turbulent Combustion provides readers with a comprehensive understanding of the specificities involved in numerical simulation of gaseous turbulent reactive flows and flames, including their most current applications. This title is intended for individuals with a background in fluid mechanics who are seeking to delve into the fundamentals of turbulent combustion modeling. It offers methodologies to simulate flames while taking into account their multi-physics character. Moreover, the text addresses emerging numerical technologies within this field and highlights the relevance of new sustainable fuels. The structure of the book is carefully organised to cover various aspects. It begins with an exploration of the fundamentals of aerothermochemistry, presenting key quantities and their corresponding balance equations that require numerical solutions. The book then delves into the essential concepts and tools necessary to handle the strongly non-linear nature of turbulent flames, with a specific focus on the interplay between turbulence and chemistry. Furthermore, readers will gain insights into the numerical modeling of flames within the context of sustainable combustion. This includes the introduction of novel fuels, such as hydrogen and solid metals, which have become increasingly relevant in recent times. The book also takes into account cutting-edge techniques, like the systematic integration of machine learning in numerical simulations of complex systems and the lattice Boltzmann approach. These innovations open new possibilities for tackling challenges in numerical turbulent combustion research. Both the fundamental methods and modeling tools are presented in detail, along with best practice guidelines for their practical application in simulations. This ensures that readers not only grasp the underlying theories but also gain valuable insights into how to implement these techniques effectively. Overall, Numerical Turbulent Combustion serves as a valuable resource for researchers and practitioners alike, offering a comprehensive and up-to-date understanding of numerical simulations in the field of turbulent combustion.

Numerical Modeling of Turbulent Combustion

De Gruyter Studies in Mathematics

Orthogonal Polynomials

Scaling (zooming in or out) is taking a close or distant view of an object. Infinite scaling (the scaling parameter tends to zero or infinity) may lead to a limit which is self-similar and much simpler than the original object. For instance, the classical Donsker's theorem says that all weakly dependent stationary processes with finite variance scale to Brownian motion at large scales. In the case of a random field indexed by two-dimensional parameter, both types of scaling can be anisotropic, meaning that the horizontal and vertical axes are scaled at different rate determined by the ratio γ&gt;0 of the scaling exponents along the axes. The natural questions under such scaling are whether the scaling limits exist for any γ&gt;0, and what are these limits are. The book tries to answer these questions. It introduces the concept of scaling transition and discusses its existence for a natural class of planar random fields including Gaussian, linear and some nonlinear ones. The scaling limits are identified and exhibit a surprising trichitomy at a critical point γ0, with 'unbalanced' limits having unusual path properties and dependence structure along one of the coordinate axes. Scaling transition occurs in applied sciences (telecommunications and econometrics) when aggregating independent processes with long-range dependence in which case 'unbalanced' limits are classical Gaussian or stable random fields.

Anisotropic Scaling Of Random Fields With Long-range Dependence: Scaling Limits Of Random Fields With Applications

This book covers complex analysis (the study of boundary behaviors of analytic functions) and its applications with engineering problems, especially control theory from the viewpoint of boundary functions. The metascience part is rather unique and illustrates a metascientific way of thinking engineering problems by examples of batteries which are cores of electric vehicles.This book gives a way of looking at the phenomena from a higher and brighter point of view through the windows of boundary behavior and metascience. In Chapter 1 which is meant for mathematics-oriented readers, we state materials in standard complex analysis with emphasis on similarity and Laurent expansions. Non-mathematical readers can also benefit by browsing through many examples and worked-out exercises. Chapter 2 gives some concrete examples of invoking novel ideas in the heap of stereo-typed contributions to a field. Possible replacement of LIB by ECaSS(R) is a typical example through which the reader can learn basics of electromagnetism and electrochemistry. The book also provides hints for a deeper understanding of environmental problems as well as how to manage and create a sustainable society.

From Complex Analysis To Metascience: A Stroll Around Boundary Behavior, Similarity And Duality

De Gruyter Studies in Mathematical Physics

Mirror symmetry is one of the most exciting ideas in mathematics to emerge in the last two decades. It was introduced in physics as a duality between superconformal field theories. This book discusses this rapidly developing aspect of string theory.

Laurent Polynomials in Mirror Symmetry

Geometric Morphometrics for Biologists: A Primer, Third Edition explores how these geometric methods allow for the study of biological shape by incorporating the geometry of organisms throughout data analyses. Novel content on phylogenetic comparative methods, evolutionary morphology, analyses of disparity, genetics of shape, and simulating shape data is included. This edition delivers step-by-step guidance on how to effectively utilize updated analytical software while also providing guidance on important methodologies that remain relevant to the field to ensure clear and effective instruction to audiences new to this branch of data analysis. It succeeds the second edition as the primary resource for teaching modern geometric methods of shape analysis to students, researchers, and practicing scientists in the field of organismal biology. Users will find it to be an immensely valuable introduction for students and practicing biologists interested in learning applications of multivariate statistics and matrix algebra to organismal biology.

A Primer

Geometric Morphometrics for Biologists

Lectures On Quantum State Estimation

Why Not Nonlinear Algebra: Math, Science, Applications And Funding

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