Numerical methods are playing an ever-increasing role in physics and engineering. This is especially true after the recent explosion of computing power on the desk-top. This book is aimed at helping the user to make intelligent use of this power tool. Each method is introduced through realistic examples and actual computer programs. The explanations provide the background for making a choice between similar approaches and the knowledge to explore the network for the appropriate existing codes. Tedious proofs and derivations, on the other hand, are delegated to references. Examples of uncoventional methods are also given to stimulate readers in exploring new ways of solving problems.

This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysis, have continued to yield striking results over the past years and are now one of the main tools of investigation of PDEs. Their role in many applications to physics, including quantum and spectral theory, is equally important. Key topics addressed in this volume include: *general theory of pseudodifferential operators *Hardy-type inequalities *linear and non-linear hyperbolic equations and systems *Schroedinger equations *water-wave equations *Euler-Poisson systems *Navier-Stokes equations *heat and parabolic equations Various levels of graduate students, along with researchers in PDEs and related fields, will find this book to be an excellent resource. Contributors T. Alazard P.I. Naumkin J.-M. Bony F. Nicola N. Burq T. Nishitani C. Cazacu T. Okaji J.-Y. Chemin M. Paicu E. Cordero A. Parmeggiani R. Danchin V. Petkov I. Gallagher M. Reissig T. Gramchev L. Robbiano N. Hayashi L. Rodino J. Huang M. Ruzhanky D. Lannes J.-C. Saut F. Linares N. Visciglia P.B. Mucha P. Zhang C. Mullaert E. Zuazua T. Narazaki C. Zuily

This volume, which brings together research presented at the IUTAM Symposium Intelligent Multibody Systems - Dynamics, Control, Simulation, held at Sozopol, Bulgaria, September 11-15, 2017, focuses on preliminary virtual simulation of the dynamics of motion, and analysis of loading of the devices and of their behaviour caused by the working conditions and natural phenomena. This requires up-to-date methods for dynamics analysis and simulation, novel methods for numerical solution of ODE and DAE, real-time simulation, passive, semi-passive and active control algorithms. Applied examples are mechatronic (intelligent) multibody systems, autonomous vehicles, space structures, structures exposed to external and seismic excitations, large flexible structures and wind generators, robots and bio-robots. The book covers the following subjects: -Novel methods in multibody system dynamics; -Real-time dynamics; -Dynamic models of passive and active mechatronic devices; -Vehicle dynamics and control; -Structural dynamics; -Deflection and vibration suppression; -Numerical integration of ODE and DAE for large scale and stiff multibody systems; -Model reduction of large-scale flexible systems. The book will be of interest for scientists and academicians, PhD students and engineers at universities and scientific institutes.

This book is devoted to the theory of coupled electro-magneto-thermo-elastic fields excited in different bodies by various sources, both static and dynamic. It presents the classical piezoelectric and piezomagnetic effects, the Mindlin's electroelastic coupling due to a polarization gradient, and different combinations of these effects with thermoelasticity.

QuickStudy Bookletss cover the key information on some of the toughest subjects today, helping students boost their grades. The QuickStudy Physics booklet contains 144 full-color pages and includes: Mechanics, wave motion, Therodynamics, modern physics nd much more! It measures 4.25" x 7.5," small enough to fit in a pocket.

Chaotic Dynamics: Theory: Complexity, Control and Data Representation: Complexity and Unpredictable Scaling of Hierarchical Structures; R. Badii. Fractals, Multifractals, and Analyticity of Normal Forms: Multifractal Coding Measures in Dynamics; G. Mantica. Integrability, Painleve Property, and Singularity Analysis: Note on a Complex Eckhaus Equation; M.F. Jorgensen, et al.. Statistical Physics, Celestial Mechanics, and Cosmology: Phase Transitions Within the Fully Developed Regime; R. Kluiving. Chaotic Dynamics: Practice: Controlling Dynamical Systems: Feedback Control of Chaotic Systems; . Romeiras et al.. Semiconductors, Superconductors, Lasers, and Electronic Circuits: Chaotic Dynamics in Practice; E. Del Rio, et al . Biology, Chemistry, Atmospheric, and Magnetospheric Dynamics: Irregular Bursting in Model Neurones; J. Hyde. Hamiltonian Dynamics, Dissipative Dynamics, and Normal Forms. 30 additional articles. Index.

This new book on Mathematical Methods In Physics is intended to be used for a 2-semester course for first year MA or PhD physics graduate students, or senior undergraduates majoring in physics, engineering or other technically related fields.Emphasis has been placed on physics applications, included where appropriate, to complement basic theories. Applications include moment of inertia in "Tensor Analysis"; Maxwell's equations, magnetostatic, stress tensor, continuity equation and heat flow in "fields"; special and spherical harmonics in "Hilbert Space"; electrostatics, hydrodynamics and Gamma function in "Complex Variable Theory"; vibrating string, vibrating membrane and harmonic oscillator in "Ordinary Differential Equations"; age of the earth and temperature variation of the earth's surface in "Heat Conduction"; and field due to a moving point charge (Lienard-Wiechart potentials) in "Wave Equations".Subject not usually found in standard mathematical physics texts include Theory of Curves in Space in "Vector Analysis", and Retarded and Advanced D-Functions in "Wave Equations".Lastly, problem solving techniques are presented by way of appendices, comprising 75 pages of problems with their solutions. These problems provide applications as well as extensions to the theory.A useful compendium, with such excellent features, will surely make it a key reference text.

This self-contained introduction addresses the novel flow equation approach for many particle systems and provides an up-to-date review of the subject. The text first discusses the general ideas and concepts of the flow equation method, and then in a second part illustrates them with various applications in condensed matter theory. The third and last part of the book contains an outlook with current perspectives for future research.

Econophysics research studies, which apply methods developed by physicists to solve problems in economics, enable you to deepen your understanding of what financial systems are and how they operate. Articles in this book identify and explain the statistical behavior of the underlying networks in trading, banking, and stock markets as well as other financial systems. Authors also debate the latest issues arising from these econophysics studies.

The history of mechanics, and more particularly, the history of mechanics applied to constructions, constitutes a field of research that is relatively recent. This volume, together with the recent publication "Towards a History of Construction," is intended as an homage to the two eminent scholars who made a determinant contribution to the history of mechanics: Edoardo Benvenuto and Clifford Truesdell.

The Bia owie a workshops on Geometric Methods in Physics are among the most important meetings in the field. Every year some 80 to 100 participants from both mathematics and physics join to discuss new developments and to interchange ideas. This volume contains contributions by selected speakers at the XXX meeting in 2011 as well as additional review articles and shows that the workshop remains at the cutting edge of ongoing research.

The 2011 workshop focussed on the works of the late Felix A. Berezin (1931 1980) on the occasion of his 80th anniversary as well as on Bogdan Mielnik and Stanis aw Lech Woronowicz on their 75th and 70th birthday, respectively. The groundbreaking work of Berezin is discussed from today s perspective by presenting an overview of his ideas and their impact on further developments. He was, among other fields, active in representation theory, general concepts of quantization and coherent states, supersymmetry and supermanifolds.

Another focus lies on the accomplishments of Bogdan Mielnik and Stanis aw Lech Woronowicz. Mielnik s geometricapproach to the description of quantum mixed states, the method of quantum state manipulation and their important implications for quantum computing and quantum entanglement are discussed as well as the intricacies of the quantum time operator. Woronowicz fruitful notion of a compact quantum group and related topics are also addressed."

Marcellliesz's lectures delivered on October 1957 -January 1958 at the Uni versity of Maryland, College Park, have been previously published only infor mally as a manuscript entitled CLIFFORD NUMBERS AND SPINORS (Chap ters I - IV). As the title says, the lecture notes consist of four Chapters I, II, III and IV. However, in the preface of the lecture notes lliesz refers to Chapters V and VI which he could not finish. Chapter VI is mentioned on pages 1, 3, 16, 38 and 156, which makes it plausible that lliesz was well aware of what he was going to include in the final missing chapters. The present book makes lliesz's classic lecture notes generally available to a wider audience and tries somewhat to fill in one of the last missing chapters. This book also tries to evaluate lliesz's influence on the present research on Clifford algebras and draws special attention to lliesz's contributions in this field - often misunderstood."

In the post-quantum-mechanics era, few physicists, if any, have matched Julian Schwinger in contributions to and influence on the development of physics. A deep and provocative thinker, Schwinger left his indelible mark on all areas of theoretical physics; an eloquent lecturer and immensely successful mentor, he was gentle, intensely private, and known for being "modest about everything except his physics." This book is a collection of talks in memory of him by some of his contemporaries and his former students: A Klein, F Dyson, B DeWitt, W Kohn, D Saxon, P C Martin, K Johnson, S Deser, R Finkelstein, Y J Ng, H Feshbach, L Brown, S Glashow, K A Milton, and C N Yang. From it, one can get a glimpse of Julian Schwinger, the physicist, the teacher, and the man. Altogether, this book is a must for all physicists, physics students, and others who are interested in great legends.

In the post-quantum-mechanics era, few physicists, if any, have matched Julian Schwinger in contributions to and influence on the development of physics. A deep and provocative thinker, Schwinger left his indelible mark on all areas of theoretical physics; an eloquent lecturer and immensely successful mentor, he was gentle, intensely private, and known for being “modest about everything except his physics”. This book is a collection of talks in memory of him by some of his contemporaries and his former students: A Klein, F Dyson, B DeWitt, W Kohn, D Saxon, P C Martin, K Johnson, S Deser, R Finkelstein, Y J Ng, H Feshbach, L Brown, S Glashow, K A Milton, and C N Yang. From it, one can get a glimpse of Julian Schwinger, the physicist, the teacher, and the man. Altogether, this book is a must for all physicists, physics students, and others who are interested in great legends.

Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations.

Quantum Simulations of Materials and Biological Systems features contributions from leading world experts in the fields of density functional theory (DFT) and its applications to material and biological systems. The recent developments of correlation functionals, implementations of Time-dependent algorithm into DFTB+ method are presented. The applications of DFT method to large materials and biological systems such as understanding of optical and electronic properties of nanoparticles, X-ray structure refinement of proteins, the catalytic process of enzymes and photochemistry of phytochromes are detailed. In addition, the book reviews the recent developments of methods for protein design and engineering, as well as ligand-based drug design. Some insightful information about the 2011 International Symposium on Computational Sciences is also provided. Quantum Simulations of Materials and Biological Systems is aimed at faculties and researchers in the fields of computational physics, chemistry and biology, as well as at the biotech and pharmaceutical industries.

This collection of essays by scientists from around the world honors Victor Frederick Weisskopf, one of the true luminaries of twentieth- century physics. Among the many breakthroughs his research has yielded have been the theory of the widths of energy levels of the electron, the "Clouded Crystal Ball" model of nuclear structure, and the "MIT Bag" model of hadronic matter. For his contributions to physics, Dr. Weisskopf has been awarded the Max Planck Medal, the J. Robert Oppenheimer Medal, and most recently, the Karl Taylor Compton Award. The essays in this book, by some of the world's leading physicists, including seven nobel prize winners, address topics ranging from Weisskopf's contributions to theoretical physics to more intimate views of his role as teacher, friend, and humanist. Contributors include: Hans A. Bethe; Hendrick B.G. Casimir; Georges Charpak; Sidney D. Drell; Evgenii L. Feinberg; Herman Feshbach; Jerome I. Friedman and Henry W. Kendall; Murray Gell-Mann; Kurt Gottfried; J. David Jackson; Maurice Jacob; Francis E. Low; Ove Nathan; Norman F. Ramsey; Walter Thirring; and Charles H. Townes. For all his accomplishments, Victor Weisskopf remains a contemplative and unpretentious man. Throughout the world's scientific community he is known simply as Viki. The man and his work are revealed here by the collaborators, colleagues, and friends who know him best.

Epitaxial growth lies at the heart of a wide range of industrial and technological applications. Recent breakthroughs, experimental and theoretical, allow actual atom-by-atom manipulation and an understanding of such processes, opening up a totally new area of unprecedented nanostructuring.

The contributions to Atomistic Aspects of Epitaxial Growth are divided into five main sections, taking the reader from the atomistic details of surface diffusion to the macroscopic description of epitaxial systems. many of the papers contain substantial background material on theoretical and experimental methods, making the book suitable for both graduate students as a supplementary text in a course on epitaxial phenomena, and for professionals in the field.

The worlds of Wall Street and The City have always held a certain allure, but in recent years have left an indelible mark on the wider public consciousness and there has been a need to become more financially literate. The quantitative nature of complex financial transactions makes them a fascinating subject area for mathematicians of all types, whether for general interest or because of the enormous monetary rewards on offer. An Introduction to Quantitative Finance concerns financial derivatives - a derivative being a contract between two entities whose value derives from the price of an underlying financial asset - and the probabilistic tools that were developed to analyse them. The theory in the text is motivated by a desire to provide a suitably rigorous yet accessible foundation to tackle problems the author encountered whilst trading derivatives on Wall Street. The book combines an unusual blend of real-world derivatives trading experience and rigorous academic background. Probability provides the key tools for analysing and valuing derivatives. The price of a derivative is closely linked to the expected value of its pay-out, and suitably scaled derivative prices are martingales, fundamentally important objects in probability theory. The prerequisite for mastering the material is an introductory undergraduate course in probability. The book is otherwise self-contained and in particular requires no additional preparation or exposure to finance. It is suitable for a one-semester course, quickly exposing readers to powerful theory and substantive problems. The book may also appeal to students who have enjoyed probability and have a desire to see how it can be applied. Signposts are given throughout the text to more advanced topics and to different approaches for those looking to take the subject further.

Heterostructures consist of combinations of different materials, which are in contact through at least one interface. Magnetic heterostructures combine different physical properties which do not exist in nature. This book provides the first comprehensive overview of an exciting and fast developing field of research, which has already resulted in numerous applications and is the basis for future spintronic devices.