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Noise In Spatially Extended Systems

Author: Jordi Garcia-Ojalvo
Publisher: Springer Science & Business Media
ISBN: 1461215366
Size: 14.98 MB
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Intended for graduates and researchers in physics, chemistry, biology, and applied mathematics, this book provides an up-to-date introduction to current research in fluctuations in spatially extended systems. It covers the theory of stochastic partial differential equations and gives an overview of the effects of external noise on dynamical systems with spatial degrees of freedom. Starting with a general introduction to noise-induced phenomena in dynamical systems, the text moves on to an extensive discussion of analytical and numerical tools needed to gain information from stochastic partial differential equations. It then turns to particular problems described by stochastic PDEs, covering a wide part of the rich phenomenology of spatially extended systems, such as nonequilibrium phase transitions, domain growth, pattern formation, and front propagation. The only prerequisite is a minimal background knowledge of the Langevin and Fokker-Planck equations.

Aspects Of Mathematical Modelling

Author: Roger J. Hosking
Publisher: Springer Science & Business Media
ISBN: 9783764385910
Size: 35.61 MB
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The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

An Introduction To Computational Stochastic Pdes

Author: Gabriel J. Lord
Publisher: Cambridge University Press
ISBN: 0521899907
Size: 44.38 MB
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This book gives a comprehensive introduction to numerical methods and analysis of stochastic processes, random fields and stochastic differential equations, and offers graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. Coverage includes traditional stochastic ODEs with white noise forcing, strong and weak approximation, and the multi-level Monte Carlo method. Later chapters apply the theory of random fields to the numerical solution of elliptic PDEs with correlated random data, discuss the Monte Carlo method, and introduce stochastic Galerkin finite-element methods. Finally, stochastic parabolic PDEs are developed. Assuming little previous exposure to probability and statistics, theory is developed in tandem with state-of-the-art computational methods through worked examples, exercises, theorems and proofs. The set of MATLAB codes included (and downloadable) allows readers to perform computations themselves and solve the test problems discussed. Practical examples are drawn from finance, mathematical biology, neuroscience, fluid flow modelling and materials science.

Physics Of Stochastic Processes

Author: Reinhard Mahnke
Publisher: John Wiley & Sons
ISBN: 3527626107
Size: 61.14 MB
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Based on lectures given by one of the authors with many years of experience in teaching stochastic processes, this textbook is unique in combining basic mathematical and physical theory with numerous simple and sophisticated examples as well as detailed calculations. In addition, applications from different fields are included so as to strengthen the background learned in the first part of the book. With its exercises at the end of each chapter (and solutions only available to lecturers) this book will benefit students and researchers at different educational levels. Solutions manual available for lecturers on

Annals Of The New York Academy Of Sciences Trends And Directions In Climate Research

Author: Luis Gimeno
Publisher: Wiley-Blackwell
Size: 41.25 MB
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This volume examines future strategies in meteorology and climatology that involves the whole atmospheric and related communities: scientists, service providers, manufacturers and users. While the central focus is the application of meteorology for society this volume also addresses a wide spectrum of scientific and application topics in atmospheric sciences – atmosphere and the water cycle, forecasting the weather from one day to one year ahead, climatology, and meteorology and society. NOTE: Annals volumes are available for sale as individual books or as a journal. For information on institutional journal subscriptions, please visit ACADEMY MEMBERS: Please contact the New York Academy of Sciences directly to place your order ( Members of the New York Academy of Science receive full-text access to the Annals online and discounts on print volumes. Please visit for more information about becoming a member.

Multiple Scales In Ecology

Author: Boris Schröder
Publisher: Peter Lang Publishing
Size: 40.26 MB
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The scale dependence of ecological processes and patterns, as well as their analysis is a long-standing theme in ecology. The problem of scaling has three components: (i) direct measurements are commonly limited to small scales in time and space, (ii) the most pressing problems have to be addressed at comparatively large scales, but (iii) direct upscaling fails when local processes differ from those relevant at larger scales. The contributions collected in this volume evolved from the workshop 'Multiple Scales in Ecology', held in March 2005 at Seddinger See near Potsdam in Germany. The book is organized along four major themes: scale-dependent pattern formation, scale identification, multiscale analysis, and scaling in applications.