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Serie: Applied mathematical sciences
gebondenEngels9780387908199
8-2-2002
An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Meer
paperbackEngels9780387908243
14-3-1983
Applied Mathematics is the art of constructing mathematical models of observed phenomena so that both qualitative and quantitative results can be predicted by the use of analytical and numerical methods. Meer
gebondenEngels9780387971551
2-5-1990
This book is about two special topics in rheological fluid mechanics: the elasticity of liquids and asymptotic theories of constitutive models. The major emphasis of the book is on the mathematical and physical consequences of the elasticity of liquids; seventeen of twenty chapters are devoted to this. Meer
paperbackEngels9780387979380
10-9-1992
There are three major changes in the Third Edition of Differential Equations and Their Applications. First, we have completely rewritten the section on singular solutions of differential equations. Meer
gebondenEngels9780387968117
7-9-1988
Content and Aims of this Book Earlier drafts of the manuscript of this book (James A. Boa was then coau thor) contained discussions of many methods and examples of singular perturba tion problems. Meer
gebondenEngels9780387986678
29-12-1999
Included is a presentation of configurational forces within a classical context and a discussion of their use in areas as diverse as phase transitions and fracture. Meer
gebondenEngels9780387986548
10-7-2002
This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. Meer
gebondenEngels9780387986975
24-9-1999
A unified treatment of resonant problems with special emphasis on the recently discovered phenomenon of homoclinic jumping. After a survey of the necessary background, the book develops a general finite dimensional theory of homoclinic jumping, illustrating it with examples. Meer
gebondenEngels9780387968995
14-11-1988
If you place a large number of points randomly in the unit square, what is the distribution of the radius of the largest circle containing no points? Of the smallest circle containing 4 points? Meer
gebondenEngels9780387969084
8-2-1989
FACHGEB The last decade has seen a tremendous development in critical point theory in infinite dimensional spaces and its application to nonlinear boundary value problems. Meer
gebondenEngels9780387947716
26-9-1996
Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. Meer
gebondenEngels9780387954271
9-7-2002
This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications.
Appeals to researchers and graduate students who require tools to investigate stochastic systems. Meer
gebondenEngels9780387971049
25-8-1989
This monograph evolved over the past five years. It had its origin as a set of lecture notes prepared for the Ninth Summer School of Mathematical Physics held at Ravello, Italy, in 1984 and was further refined in seminars and lectures given primarily at the University of Colorado. Meer
gebondenEngels9780387941974
30-10-1997
This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. Meer
gebondenEngels9780387308883
23-3-2009
Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. Meer
gebondenEngels9780387309316
9-10-2008
This book is devoted to the study of variational methods in imaging. The presentation is mathematically rigorous and covers a detailed treatment of the approach from an inverse problems point of view. Meer
gebondenEngels9780387947631
20-6-1996
Hysteresis is an exciting and mathematically challenging phenomenon that oc curs in rather different situations: jt, can be a byproduct offundamental physical mechanisms (such as phase transitions) or the consequence of a degradation or imperfection (like the play in a mechanical system), or it is built deliberately into a system in order to monitor its behaviour, as in the case of the heat control via thermostats. Meer
paperbackEngels9780387960371
20-6-1984
Conservation laws arise from the modeling of physical processes through the following three steps: 1) The appropriate physical balance laws are derived for m-phy- t cal quantities, ul""'~ with u = (ul' . Meer
paperbackEngels9780387960661
8-10-1984
Our purpose in writing this monograph is twofold. On the one hand, we want to collect in one place many of the recent results on the exist ence and asymptotic behavior of solutions of certain classes of singularly perturbed nonlinear boundary value problems. Meer
gebondenEngels9780387949710
20-6-1997
This book deals with optimality conditions, algorithms, and discretization tech niques for nonlinear programming, semi-infinite optimization, and optimal con trol problems. Meer