Asymptotic Methods And Stochastic Models In Problems Of Wave Propagation
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Author | : Georgiĭ Ivanovich Petrashenʹ |
Publisher | : American Mathematical Soc. |
Total Pages | : 264 |
Release | : 1971 |
Genre | : Mathematics |
ISBN | : 9780821818954 |
Papers and articles about modeling and problems with wave propagation.
Author | : Jean-Pierre Fouque |
Publisher | : Springer Science & Business Media |
Total Pages | : 623 |
Release | : 2007-06-30 |
Genre | : Science |
ISBN | : 0387498087 |
The content of this book is multidisciplinary by nature. It uses mathematical tools from the theories of probability and stochastic processes, partial differential equations, and asymptotic analysis, combined with the physics of wave propagation and modeling of time reversal experiments. It is addressed to a wide audience of graduate students and researchers interested in the intriguing phenomena related to waves propagating in random media. At the end of each chapter there is a section of notes where the authors give references and additional comments on the various results presented in the chapter.
Author | : Mark I. Freidlin |
Publisher | : Birkhäuser |
Total Pages | : 155 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034891911 |
Probabilistic methods can be applied very successfully to a number of asymptotic problems for second-order linear and non-linear partial differential equations. Due to the close connection between the second order differential operators with a non-negative characteristic form on the one hand and Markov processes on the other, many problems in PDE's can be reformulated as problems for corresponding stochastic processes and vice versa. In the present book four classes of problems are considered: - the Dirichlet problem with a small parameter in higher derivatives for differential equations and systems - the averaging principle for stochastic processes and PDE's - homogenization in PDE's and in stochastic processes - wave front propagation for semilinear differential equations and systems. From the probabilistic point of view, the first two topics concern random perturbations of dynamical systems. The third topic, homog- enization, is a natural problem for stochastic processes as well as for PDE's. Wave fronts in semilinear PDE's are interesting examples of pattern formation in reaction-diffusion equations. The text presents new results in probability theory and their applica- tion to the above problems. Various examples help the reader to understand the effects. Prerequisites are knowledge in probability theory and in partial differential equations.
Author | : Anjan Kundu |
Publisher | : Springer Science & Business Media |
Total Pages | : 319 |
Release | : 2007-06-19 |
Genre | : Science |
ISBN | : 3540712569 |
The need for tsunami research and analysis has grown dramatically following the devastating tsunami of December 2004, which affected Southern Asia. This book pursues a detailed theoretical and mathematical analysis of the fundamentals of tsunamis, especially the evolution and dynamics of tsunamis and other great waves. Of course, it includes specific measurement results from the 2004 tsunami, but the emphasis is on the nature of the waves themselves and their links to nonlinear phenomena.
Author | : |
Publisher | : |
Total Pages | : 588 |
Release | : 1982 |
Genre | : Military research |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 1090 |
Release | : 1969 |
Genre | : Mechanics, Applied |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 702 |
Release | : 1995 |
Genre | : Aeronautics |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 1886 |
Release | : 1972 |
Genre | : Libraries |
ISBN | : |
Author | : Remi Abgrall |
Publisher | : Elsevier |
Total Pages | : 612 |
Release | : 2017-01-16 |
Genre | : Mathematics |
ISBN | : 044463911X |
Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and become familiar with their relative advantages and limitations. - Provides detailed, cutting-edge background explanations of existing algorithms and their analysis - Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications - Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage
Author | : American Mathematical Society |
Publisher | : |
Total Pages | : 142 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : |