Download or read book Numerical Methods for Bifurcation Problems and Large Scale Dynamical Systems written by Eusebius Doedel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Institute for Mathematics and its Applications (IMA) devoted its 1997-1998 program to Emerging Applications of Dynamical Systems. Dynamical systems theory and related numerical algorithms provide powerful tools for studying the solution behavior of differential equations and mappings. In the past 25 years computational methods have been developed for calculating fixed points, limit cycles, and bifurcation points. A remaining challenge is to develop robust methods for calculating more complicated objects, such as higher- codimension bifurcations of fixed points, periodic orbits, and connecting orbits, as well as the calcuation of invariant manifolds. Another challenge is to extend the applicability of algorithms to the very large systems that result from discretizing partial differential equations. Even the calculation of steady states and their linear stability can be prohibitively expensive for large systems (e.g. 10_3- -10_6 equations) if attempted by simple direct methods. Several of the papers in this volume treat computational methods for low and high dimensional systems and, in some cases, their incorporation into software packages. A few papers treat fundamental theoretical problems, including smooth factorization of matrices, self -organized criticality, and unfolding of singular heteroclinic cycles. Other papers treat applications of dynamical systems computations in various scientific fields, such as biology, chemical engineering, fluid mechanics, and mechanical engineering.
Download or read book Numerical Bifurcation Analysis for Reaction Diffusion Equations written by Zhen Mei and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.
Download or read book Numerical Methods for Bifurcations of Dynamical Equilibria written by Willy J. F. Govaerts and published by SIAM. This book was released on 2000-01-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical methods for the detection, computation, and continuation of equilibria and bifurcation points of equilibria of dynamical systems.
Download or read book MEI Further Maths Numerical Methods written by Richard Lissaman and published by Hachette UK. This book was released on 2018-06-11 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deeper understanding of mathematical concepts and their applications with new and updated editions from our bestselling series. - Build connections between topics using real-world contexts that develop mathematical modelling skills, thus providing your students with a fuller and more coherent understanding of mathematical concepts. - Develop fluency in problem-solving, proof and modelling with plenty of questions and well-structured exercises. - Overcome misconceptions and develop mathematical insight with annotated worked examples. - Enhance understanding and map your progress with graduated exercises that support you at every stage of your learning.
Download or read book Exploiting Symmetry in Applied and Numerical Analysis written by Eugene L. Allgower and published by American Mathematical Soc.. This book was released on 1993 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry plays an important role in theoretical physics, applied analysis, classical differential equations, and bifurcation theory. Although numerical analysis has incorporated aspects of symmetry on an ad hoc basis, there is now a growing collection of numerical analysts who are currently attempting to use symmetry groups and representation theory as fundamental tools in their work. This book contains the proceedings of an AMS-SIAM Summer Seminar in Applied Mathematics, held in 1992 at Colorado State University. The seminar, which drew about 100 scientists from around the world, was intended to stimulate the systematic incorporation of symmetry and group theoretical concepts into numerical methods. The papers in this volume have been refereed and will not be published elsewhere.
Download or read book Numerical Methods for Nonlinear Elliptic Differential Equations written by Klaus Böhmer and published by Oxford University Press. This book was released on 2010-10-07 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boehmer systmatically handles the different numerical methods for nonlinear elliptic problems.
Download or read book Approximations and Numerical Methods for the Solution of Maxwell s Equations written by F. El Dabaghi and published by Oxford University Press, USA. This book was released on 1998 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written in response to the increasing interest in the high frequency numerical solution of Maxwell's equations. Research activity in this area has been stimulated by requirements for greater precision in radar cross-section calculations, particularly for geometries with lowobservability; however there are also a growing number of applications in bio-electromagnetism and electromagnetic compatibility. It is hoped that these proceedings will be of interest both to specialists in this area as well as to others simply looking for a guide to recent developments.
Download or read book Mei Numerical Methods written by Richard Lissaman and published by Hodder Education. This book was released on 2004-08-01 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: . This series, well-known for accessibility and for a student-friendly approach, has a wealth of features: Worked Examples, Activities, Investigations, Graded Exercises, Key Points summaries and Discussion Points. To ensure exam success there are plenty of up-to-date exam questions, plus warning signs to indicate common pitfalls. MEI offer full support to schools through their network with newsletters, training days and an annual conference. Numerical Methods is an AS Further Maths module.
Download or read book Nonlinear Analysis of Structures 1997 written by Muthukrishnan Sathyamoorthy and published by CRC Press. This book was released on 2017-11-22 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads. Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation. Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists. One of the world's leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.
Download or read book Fundamentals of Engineering Numerical Analysis written by Parviz Moin and published by Cambridge University Press. This book was released on 2010-08-23 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.
Download or read book Algorithms in Algebraic Geometry written by Alicia Dickenstein and published by Springer Science & Business Media. This book was released on 2010-07-10 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric computation. The workshop on Algorithms in Algebraic Geometry that was held in the framework of the IMA Annual Program Year in Applications of Algebraic Geometry by the Institute for Mathematics and Its Applications on September 2006 is one tangible indication of the interest. This volume of articles captures some of the spirit of the IMA workshop.
Download or read book Variational Methods Open Problems Recent Progress and Numerical Algorithms written by John Neuberger and published by American Mathematical Soc.. This book was released on 2004 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Variational Methods: Open Problems, Recent Progress, and Numerical Algorithms. It presents current research in variational methods as applied to nonlinear elliptic PDE, although several articles concern nonlinear PDE that are nonvariational and/or nonelliptic. The book contains both survey and research papers discussing important open questions and offering suggestions on analytical and numerical techniques for solving those open problems. It is suitable for graduate students and research mathematicians interested in elliptic partial differential equations.
Download or read book Ergodic Theory Analysis and Efficient Simulation of Dynamical Systems written by Bernold Fiedler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting very recent results in a major research area, this book is addressed to experts and non-experts in the mathematical community alike. The applied issues range from crystallization and dendrite growth to quantum chaos, conveying their significance far into the neighboring disciplines of science.
Download or read book Numerical Methods For Partial Differential Equations Proceedings Of 2nd Conference written by Lung-an Ying and published by World Scientific. This book was released on 1992-01-27 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the numerical computation of linear and nonlinear differential equations, and their mathematical theory and applications. The contributed papers reflect the interest and high research level of the Chinese mathematicians working in these fields.
Download or read book Bifurcation and Chaos Analysis Algorithms Applications written by KÜPPER and published by Birkhäuser. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a conference held in Wiirzburg, August 20-24, 1990. The theme of the conference was Bifurcation and Chaos: Analysis, Algorithms, Ap plications. More than 100 scientists from 21 countries presented 80 contributions. Many of the results of the conference are described in the 49 refereed papers that follow. The conference was sponsored by the Deutsche Forschungsgemeinschaft, and by the Deutscher Akademischer Austauschdienst. We gratefully acknowledge the support from these agen cies. The science of nonlinear phenomena is evolving rapidly. Over the last 10 years, the emphasis has been gradually shifting. How trends vary may be seen by comparing these proceedings with previous ones, in particular with the conference held in Dortmund 1986 (proceedings published in ISNM 79). Concerning the range of phenomena, chaos has joined the bifurcation scenarios. As expected, the acceptance of chaos is less emotional among professionals, than it has been in some popular publications. A nalytical methods appear to have reached a state in which basic results of singularities, symmetry groups, or normal forms are everyday experience rather than exciting news. Similarly, numerical algorithms for frequent situations are now well established. Implemented in several packages, such algorithms have become standard means for attacking nonlinear problems. The sophisti cation that analytical and numerical methods have reached supports the vigorous trend to more and more applications. Pioneering equations as those named after Duffing, Van der Pol, or Lorenz, are no longer exclusively the state of art.
Download or read book Computational Techniques And Applications Proceedings Of The Sixth Biennial Conference written by Henry J Gardner and published by World Scientific. This book was released on 1994-06-28 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers on computational mathematics, development, implementation, and application of numerical algorithms, the development and application of computational systems, and numerical modelling. Also featured are reports on applications of advanced computer architectures and innovative visualisation techniques. It will be a help for developers and implementors of computational methods who wish to find out more about the work of those applying the technology to problems in engineering and science, and vice versa.
Download or read book NBS Special Publication written by and published by . This book was released on 1980 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt:
