Mathematical physics

The study of phase transitions is among the most fascinating fields in physics.

The analysis of neurophysiological brain function is a highly interdisciplinary field of research.

This well-known 2-volume textbook provides senior undergraduate and postgraduate engineers, scientists and applied mathematicians with the specific techniques, and the framework to develop skills in using the techniques in the various branches of computational fluid dynamics.

The book introduces readers to and summarizes the current ideas and theories about the basic mechanisms for transport in chaotic flows.

The study of permutation complexity can be envisioned as a new kind of symbolic dynamics whose basic blocks are ordinal patterns, that is, permutations defined by the order relations among points in the orbits of dynamical systems.

This book presents recent developments in our systematic studies of hydrodynamics and heat and mass transfer in laminar free convection, accelerating film boiling and condensation of Newtonian fluids, as well as accelerating film flow of non-Newtonian power-law fluids (FFNF).

Mathematical modelling is ubiquitous.

Computer Aided Systems Theory (CAST) deals with the task of contributing to the creation and implementation of tools for the support of usual CAD tools for design and simulation by formal mathematical or logical means in modeling.

Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals is a book about prediction & control of general nonlinear and chaotic dynamics of high-dimensional complex systems of various physical and non-physical nature and their underpinning geometro-topological change.

The aim of this volume is to bring together research directions in theoretical signal and imaging processing developed rather independently in electrical engineering, theoretical physics, mathematics and the computer sciences.

In this monograph, a statistical description of natural phenomena is used to develop an information processing system capable of modeling non-linear relationships between sensory data.

Quantum mechanics and the Schrodinger equation are the basis for the de- scription of the properties of atoms, molecules, and nuclei.

This book contains contributions by some of the leading researchers in the area of grey systems theory and applications.

How is free will possible in the light of the physical and chemical underpinnings of brain activity and recent neurobiological experiments?

Computational Neurosciences is a burgeoning field of research where only the combined effort of neuroscientists, biologists, psychologists, physicists, mathematicians, computer scientists, engineers and other specialists, e.

Solving efficiently the wave equations involved in modeling acoustic, elastic or electromagnetic wave propagation remains a challenge both for research and industry.

Here is a comprehensive introduction to the least-squares finite element method (LSFEM) for numerical solution of PDEs.

In this book a number of ideas and results related to the ?

The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems.

The field of computational fluid dynamics (CFD) has matured since the au- thor was first introduced to electronic computation in the mid-sixties.

Generally, spontaneous pattern formation phenomena are random and repetitive, whereas elaborate devices are the deterministic product of human design.

The study of physics has changed in character, mainly due to the passage from the analyses of linear systems to the analyses of nonlinear systems.

Everything the Power of the World does is done in a circle.

Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fundamental properties of transient and stationary solutions, emphasizing the stability analysis of stationary solutions by means of self-consistency equations, linear stability analysis, and Lyapunov's direct method.

Many mechanics and physics problems have variational formulations making them appropriate for numerical treatment by finite element techniques and efficient iterative methods.

Contrary to monographs on non-linear optics this book concentrates on problems of self-organization in various important contexts.

Synchronization: From Simple to Complex is devoted to the fundamental phenomenon in physics - synchronization that occurs in coupled non-linear dissipative oscillators.

In May 2002 a number of about 20 scientists from various disciplines were invited by the Berlin-Brandenburg Academy of Sciences and Humanities to participate in an interdisciplinary workshop on structures and structure generating processes.

The past two decades have witnessed an explosion of ideas in the general ?

This book addresses hybrid simulation of plasmas; it is aimed at developing insight into the essence of plasma behavior.

Complexity, Cognition and the City aims at a deeper understanding of urbanism, while invoking, on an equal footing, the contributions both the hard and soft sciences have made, and are still making, when grappling with the many issues and facets of regional planning and dynamics.

It is increasingly being recognized that the experimental and theoretical study of the complex system brain requires the cooperation of many disciplines, in- cluding biology, medicine, physics, chemistry, mathematics, computer science, linguistics, and others.

Our purpose in writing this book was to provide a compendium of stochastic optimizationtechniques,someguidesto wheneachisappropriateinpractical situations, and a few useful ways of thinking about optimization as a p- cess of search in some very rich con?

Stochastic differential equations have many applications in the natural sciences.

This text describes computer programs for simulating phenomena in hydro- dynamics, gas dynamics, and elastic plastic flow in one, two, and three dimen- sions.

Neuroscience is ripe for a paradigm change as Freeman and Mountcastle describe.

Addressing graduate students and researchers in theoretical physics and mathematics, this book presents a new formulation of the theory of gravity.

Deeply rooted in fundamental research in Mathematics and Computer Science, Cellular Automata (CA) are recognized as an intuitive modeling paradigm for Complex Systems.

The astonishingly rapid development of the Large-Eddy Simulation technique during the last two or three years, both from the theoretical and applied points of view, have rendered the first edition of this book lacunary in some ways.

For the last several years, the study of interfacial instability and pattern formation phenomena has preoccupied many researchers in the broad area of nonlinear science.

In recent years there has been growing interest in the study of the nonlinear spatio-temporal dynamics of problems appearing in various ?

This second edition offers a comprehensive collection of state-of-the-art chapters on continuum mechanics, covering topics such as the constitutive theory of magnetoelastic solids, solids with evolving reference configurations, second-gradient solids, and biological tissues.

This second edition offers a comprehensive collection of state-of-the-art chapters on continuum mechanics, covering topics such as the constitutive theory of magnetoelastic solids, solids with evolving reference configurations, second-gradient solids, and biological tissues.