Вычислительная математика
Математика
  • формат pdf
  • размер 5.4 МБ
  • добавлен 11 июня 2011 г.
Elaydi S.N., Oliveira H., Ferreira J.M., Alves J.F. (editors) Discrete Dynamics and Difference Equations
World Scientific Publishing Company, 2010. - 436 pages.

These proceedings include articles based on talks presented at the 12th Inteational Conference on dierence equations and applications (ICDEA07). The conference was held in Lisbon, July 23{27, 2007, under the auspices of the Inteational Society of Dierence Equations (ISDE). This volume encompasses articles on a variety of current topics such as stability, bifurcation, functional equations, chaos theory, mathematical biology, mathematical economics, boundary value problems, neural networks, cellular automata, combinatorics, and numerical methods. There are articles on hyperbolic dynamics in Nash maps (Misiurewicz et al. ), discrete
versions of the Lyapunov-Schmidt method (Vanderbauwhede), hyperbolic and minimal sets (Pinto et al. ), dierence equations with continuous time (Sharkovsky et al. ), interval maps on cellular automata (Ramos et al. ), and chaotic synchronization (Caneco). On mathematical biology, we include articles on stability through migration (Fujimoto et al. ), a two-dimensional competing species model (Johnson et al. ), and a multiplicative delay population dynamics model (Braverman et al. ). In addition, we have papers on Stochastic dierence equations (Appleby et al. ), combinatorics of Newton maps (Balibrea), fuzzy dynamical systems (Rodriguez-Lopez), discretized panograph equations, nonlinear boundary problems (Sharkovsky et al. ), and neural networks (Cheng et al. ) are also included. Due to our limited space, we have not mentioned many papers in these proceedings. The interested reader may nd a complete list of the titles in this volume under
the Contents section.

The volume encompasses current topics on stability and bifurcation, chaos, mathematical biology, iteration theory, nonautonomous systems, and stochastic dynamical systems.
Похожие разделы
Смотрите также

Bakaev N.Y. Linear Discrete Parabolic Problems

  • формат pdf
  • размер 13.41 МБ
  • добавлен 30 марта 2011 г.
North Holland, Elsevier, 2006. ISBN:0444521402 This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of discrete evolution equations in Banach space and gives applications of this theory to the analysis of va...

Deturck D., Wilf H.S. Lectures on Numerical Analysis

  • формат pdf
  • размер 632.37 КБ
  • добавлен 30 января 2012 г.
Department of Mathematics University of Pennsylvania, 2002. - 124 pages. Differential and Difference Equations. Introduction. Linear equations with constant coefficients. Difference equations. Computing with difference equations. Stability theory. Stability theory of difference equations. The Numerical Solution of Differential Equations. Euler's method. Software notes. Systems and equations of higher order. How to document a program. The midpoin...

Dorodnitsyn V. Applications of Lie Groups to Difference Equations

  • формат pdf
  • размер 1.9 МБ
  • добавлен 22 апреля 2011 г.
Chapman and Hall Book/CRC, 2010. - 344 pages. Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A guide to methods and results in a new area of application of Lie grou...

Hoffman J.D. Numerical Methods for Engineers and Scientists

  • формат djvu
  • размер 13.46 МБ
  • добавлен 07 января 2011 г.
CRC Press, 2001. - 823 pages. A great textbook for a first course in Numerical Methods as it gives an extensive yet detailed coverage of numerical techniques that form the base for more advanced work in CFD. This book is based almost entirely on the finite difference method for solving differential equations (ordinary and partial). A chapter addresses finite element techniques but it is in the spirit of a primer; you will need a textbook solely...

Jagerman D.L. Difference Equations with Applications to Queues

  • формат djvu
  • размер 1.22 МБ
  • добавлен 16 января 2011 г.
Marcel Dekker, 2000. - 246 pages. The field of application of difference equations is very wide, especially in the modeling of phenomena, which increasingly are being considered discrete. Thus, instead of the usual formulation in terms of differential equations, one encounters difference equations. In many cases a formulation using a discrete independent variable will suffice, but this severely restricts the available solution procedures. Furthe...

Knabner P., Angerman L. Numerical Methods for Elliptic and Parabolic Partial Differential Equations

  • формат pdf
  • размер 2.4 МБ
  • добавлен 12 декабря 2010 г.
Springer, 2003. - 415 pages. This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element and finite volume methods, interweaving theory and applications throughout. Extensive exercises are provided throughout the text. Graduate students in mathematics, engineering and physics will find this book useful.

Neta B. Numerical Solution of Partial Differential Equations

  • формат pdf
  • размер 1.35 МБ
  • добавлен 08 июня 2011 г.
Department of Mathematics Naval Postgraduate School, 2003. - 248 pages. This course is designed to respond to the needs of the aeronautical engineering curricula by providing an applications oriented introduction to the finite difference method of solving partial differential equations arising from various physical phenomenon. This course will emphasize design, coding, and debugging programs written by the students in order to fix ideas presente...

Ryaben'kii V.S., Tsynkov S.V. A Theoretical Introduction to Numerical Analysis

  • формат djvu
  • размер 4.6 МБ
  • добавлен 25 августа 2011 г.
Chаpman and Hаll/CRС, 2006. - 552 pages. A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An accessible yet rigorous mathematical introduction, this book provides a...

Stephenson G. Partial Differential Equations for Scientists and Engineers

  • формат djvu
  • размер 2.64 МБ
  • добавлен 20 июня 2011 г.
3rd edition. Longman, 1985 p. 176 p. ISBN:0582446961 Partial differential equations form an essential part of the core mathematics syllabus for undergraduate scientists and engineers. The origins and applications of such equations occur in a variety of different fields, ranging from fluid dynamics, electromagnetism, heat conduction and diffusion, to quantum mechanics, wave propagation and general relativity. This volume introduces the important...

Yan L. Numerical Methods for Differential Equations

  • формат pdf
  • размер 370.25 КБ
  • добавлен 25 июня 2011 г.
Book - 67 pp. Contents. ODE IVP: Explicit One-step Methods. ODE IVP: Implicit One-step Methods. ODE IVP: Multi-step Methods. ODE IVP: Stability Concepts. ODE Boundary Value Problems. Finite Difference Methods for Parabolic PDEs. Finite Difference Methods for Hyperbolic PDEs. Finite Difference Methods for Elliptic PDEs.